Sposoby ograniczania strat ciepła w sieciach ciepłowniczych

Sposoby ograniczania strat ciepa w sieciach ciepowniczych

Zadania ciepownictwa Promocja ciepa sieciowego. Podwyszenie sprawnoci wytwarzania, i dystrybucji energii. Zwikszenie stopnia wykorzystania energii pierwotnej w sektorze energetycznym i obnienie energochonnoci sektora publicznego. Obnienie emisji zanieczyszcze do atmosfery. i wiele innych...

Straty ciepa w sieciach ciepowniczychStraty ciepa w sieciach kanaowych obliczenia zgodnie z norm PN-85/B-02421,Straty ciepa w sieciach preizolowanych izolacja Standard,Straty ciepa w sieciach preizolowanych izolacja Plus,Zmiana gruboci izolacji aspekty ekonomiczneStraty ciepa sieci preizolowanych w zalenoci od stosowanego systemu surowcowego PUR i sposobu produkcji,Zmiana parametrw pracy sieci ciepowniczejSystemy wielorurowe system rur TwinPipe

Straty ciepa w sieciach kanaowych PN-85/B-02421Porwnanie strat ciepa rurocigu w kanale betonowym i rury preizolowanej.Straty ciepa rurocigu kanaowego przyjte max. wg PN-85/B-02421 tabl Z1-1Straty ciepa rur preizolowanych wg PN-EN 13941:2006 lPUR=0.0280 W/mKredukcja strat ciepa w stosunku do rury kanaowejIzolacja Standard28%Izolacja Plus43%redukcja strat ciepa w stosunku do rury kanaowejIzolacja Standard38%Izolacja Plus51%

Chart1

17.700935147115.095214626430

21.742596637617.938945703233

22.200503383319.531304021934

25.65842461322.158509702336

28.743494033124.865215698741

34.043979797127.98378261946

35.098011504929.345102854647

36.687245307430.546555994152

42.758533798635.358316696255

51.009576427540.251570490263

55.438489641142.45696043671

53.069750793441.169905019783

61.258786669247.183610551788

59.370314260353.573635612994

80.356655658263.009651261297

96.31258062263.2278311573104

91.685149475460.859076081106

81.481228561663.6849065971117

85.354810088360.2844033808129

96.692308469767.8372937161144

107.696227553175.1769649381152

119.435772343882.862837549165

izol seria1 (standard)

izol seria 2 (PLUS)

PN-85/B-02421

jednostkowe straty ciepa W/m

Jednostkowe straty ciepa -porwnanie dla to=1300C

rury stalowe

redn. Nomint min grubo cianki wg EN254jednostkowa masa rury t wg EN253grubo cianki LOGSTORjednostkowa masa rury t wg Logstorodlegoc pomidzy rurami stal dla TWINPIPE

mmmmmmkg/1mmmkg/1mmm

1521.32.01.02.21.019.0

2026.92.01.22.61.619.0

2533.72.31.82.62.019.0

3242.42.62.62.62.619.0

4048.32.62.92.62.919.0

5060.32.94.12.94.120.0

6576.12.95.22.95.220.0

8088.93.26.83.26.825.0

100114.33.69.83.69.825.0

125139.73.612.13.612.130.0

150168.34.016.24.016.240.0

200219.14.523.84.523.840.0

250273.05.033.05.033.045.0

300323.95.644.05.644.0

350355.65.648.35.648.3

400406.46.362.26.362.2

450457.26.370.16.370.1

500508.06.377.96.377.9

550558.86.385.86.385.8

600609.67.1105.57.1105.5

700711.08.0138.78.0138.7

800813.08.8174.58.8174.5

900914.010.0222.910.0222.9

10001016.011.0272.611.0272.6

11001118.011.0300.311.0300.3

12001220.012.5372.212.5372.2

paszcze zewn

nomin redn paszczagrubo paszczamax dopuszcz redn wg EN253obwody paszczy Logstorredn redn Logstor

minmaxrednia

mmmmmmmmmmkg/1mkg/1mkg/1m

753.07900.00.60.7-0.0

903.095290297293.593.40.80.80.8

1103.0116349357353.0112.40.91.01.0

1253.0132399407403.0128.31.11.11.1

1403.0147449458453.5144.41.21.31.3

1603.0168511520515.5164.11.41.51.4

1803.0189570580575.0183.01.61.61.6

2003.2206631641636.0202.41.91.91.9

2253.4232712722717.0228.22.22.32.3

2503.6258800810805.0256.22.62.72.7

2803.9289887898892.5284.13.23.33.2

3154.13259901001995.5316.93.83.93.8

3554.5366111611471131.5360.24.74.84.7

4004.8412125712871272.0404.95.65.85.7

4505.2464141414451429.5455.06.87.06.9

5005.6515157116041587.5505.38.28.48.3

5205.7163416701652.0525.88.78.8

5606.0577176018051782.5567.49.810.19.9

6306.6649198020292004.5638.112.212.512.3

7107.2732223122842257.5718.614.915.415.1

7807.8245125092480.0789.417.818.0

8007.9824251425682541.0808.818.519.018.7

8408.2263926812660.0846.720.120.3

9008.7927282828752851.5907.722.923.623.1

10009.41030314232223182.01012.927.528.327.9

110010.21133345635443500.01114.132.833.833.3

120011.01236377038633816.51214.838.639.839.1

130011.8408541664125.51313.244.945.3

140012.51442439944724435.51411.951.252.851.7

jedn standard

8.00

0.0280W/mK

50.00W/mK

0.40W/mK

1.60W/mK

naziom nad rurocigiem H=1.00m

rura przewodowaizol seria1 (standard)izol seria 2 (PLUS)izolacja standardPLUSstraty ciepa izolacja standardstraty ciepa izolacja PLUSPN-85/B-02421

opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna Ropornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna R

grub cianki rury togrub osony PH-HD tcgrub osony PH-HD tc150130110907050150130110907050150130110907050

mmmmmmmmmmmmmmseria 1seria 2W/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/m

2026.92.690.03.0110.03.00.000680.027450.391726.472446.892290.022320.372627.686418.0820320.617.714.811.99.06.117.615.112.610.17.75.234.030.026.020.016.010.0

2533.72.690.03.0110.03.00.000530.027450.391725.191405.611110.022320.372626.405386.8008525.321.718.214.611.07.520.917.915.012.19.16.237.033.029.023.018.011.0

3242.42.6110.03.0125.03.00.000420.022320.372625.100025.495370.019570.360545.865866.2463825.822.218.614.911.37.622.719.516.313.19.96.740.034.030.026.020.013.0

4048.32.6110.03.0125.03.00.000360.022320.372624.359484.754770.019570.360545.125315.5057929.925.721.517.213.08.825.822.218.514.911.37.643.036.032.028.022.014.0

5060.32.9125.03.0140.03.00.000320.019570.360543.864014.244440.017430.349904.538804.9064533.528.724.019.314.69.928.924.920.816.712.68.646.041.036.031.024.015.0

6576.12.9140.03.0160.03.00.000250.017430.349903.216023.583600.015210.337464.006754.3596739.634.028.522.917.311.732.628.023.418.814.29.651.046.040.034.026.016.0

8088.93.2160.03.0180.03.00.000240.015210.337463.123083.475980.013490.326573.817124.1574240.935.129.323.617.812.134.229.324.519.714.910.153.047.042.036.029.017.0

100114.33.6200.03.2225.03.40.000210.012940.316922.995343.325410.012210.306233.675263.9939042.736.730.724.718.612.635.630.525.520.515.510.560.052.047.039.033.019.0

125139.73.6225.03.4250.03.60.000170.012210.306232.534632.853230.011630.296763.141843.4503949.842.835.728.721.714.741.235.429.623.818.012.265.055.050.041.035.020.0

150168.34.0250.03.6280.03.90.000160.011630.296762.083172.391710.011240.286692.732863.0309459.451.042.634.325.917.646.940.333.727.120.513.972.063.054.046.039.022.0

200219.14.5315.04.1355.04.50.000130.010490.276351.913662.200640.010220.266022.597132.8735064.555.446.437.328.219.149.442.535.528.521.614.681.071.063.052.041.024.0

250273.05.0400.04.8450.05.20.000120.009670.255872.033202.298860.009300.246042.707872.9633361.853.144.435.727.018.347.941.234.427.720.914.294.083.073.060.048.029.0

300323.95.6450.05.2500.05.60.000110.009300.246041.736101.991550.009010.237402.339112.5856471.361.351.241.231.121.154.947.239.431.724.016.2102.088.076.065.055.030.0

350355.65.6500.05.6520.05.70.000100.009010.237401.808382.054900.008820.234232.034092.2772469.159.449.639.930.220.462.453.644.836.027.218.4109.094.082.068.057.032.0

400406.46.3520.05.7560.06.00.000100.008820.234231.275081.518230.008620.228301.699191.9362193.580.467.254.040.827.773.363.052.742.432.021.7110.097.084.069.059.036.0

450457.26.3560.06.0630.06.60.000090.008620.228301.029701.266710.008430.219061.701961.92953112.196.380.564.748.933.273.663.252.942.532.121.8121.0104.090.074.063.039.0

500508.06.3630.06.6710.07.20.000080.008430.219061.103081.330640.008150.209921.786482.00463106.791.776.761.646.631.670.860.950.940.930.921.0125.0106.093.077.065.040.0

600609.67.1780.07.8840.08.20.000080.008040.202921.286251.497280.007850.197521.710241.9156894.881.568.154.841.428.174.163.753.242.832.421.9135.0117.0102.081.069.046.0

700711.08.0900.08.71000.09.40.000070.007770.192591.228901.429330.007550.185241.830872.0237499.385.471.457.443.429.470.260.350.440.530.620.8147.0129.0109.088.070.052.0

800813.08.81000.09.41100.010.20.000070.007550.185241.068871.261730.007450.178811.612101.79842112.596.780.865.049.133.379.067.856.745.634.523.4164.0144.0122.099.079.058.0

900914.010.01100.010.21200.011.00.000070.007450.178810.946491.132820.007360.173101.442301.62284125.4107.790.072.454.737.187.575.262.950.538.225.9173.0152.0127.0104.085.060.0

10001016.011.01200.011.01300.011.80.000070.007360.173100.840931.021470.007290.168011.296941.47231139.0119.499.980.360.741.196.482.969.355.742.128.5190.0165.0138.0111.093.065.0

130 C

130 C

17.700935147115.095214626430

21.742596637617.938945703233

22.200503383319.531304021934

25.65842461322.158509702336

28.743494033124.865215698741

34.043979797127.98378261946

35.098011504929.345102854647

36.687245307430.546555994152

42.758533798635.358316696255

51.009576427540.251570490263

55.438489641142.45696043671

53.069750793441.169905019783

61.258786669247.183610551788

59.370314260353.573635612994

80.356655658263.009651261297

96.31258062263.2278311573104

91.685149475460.859076081106

81.481228561663.6849065971117

85.354810088360.2844033808129

96.692308469767.8372937161144

107.696227553175.1769649381152

119.435772343882.862837549165


izol seria 2 (PLUS)

PN-85/B-02421



90 C

90 C

11.89734985310.145963929220

14.613876428512.057324161223

14.92164981513.127597785226

17.245826379214.89342455428

19.319397628816.712685961431

22.882019207918.808771924234

23.590466749219.723757656436

24.658640288620.531291733739

28.739342389223.765425976241

34.285125139827.054334263946

37.261935660428.53664553952

35.669832500527.671575505160

41.173938580931.713574305365

39.904637453636.008509182468

54.010211180142.350749208369

64.734685336142.497394712374

61.624444729440.905280644677

54.766071656242.804609352281

57.369626452840.519025223288

64.989912250145.595558071599

72.385989011150.5287797125104

80.276502722955.6946940903111


izol seria 2 (PLUS)

PN-85/B-02421



70 C

70 C

8.99555720597.671338580616

11.0495163249.116513390218

11.28222303099.925744666920

13.039527262411.260881979922

14.607349426712.636421092824

17.301038913314.221266576926

17.836694371314.913085057329

18.644337779215.523659603533

21.729746684517.968980616135

25.922899495920.455716150839

28.173658670121.576488090441

26.96987335420.922410747748

31.131514536823.97855618255

30.171799050327.225945967257

40.836988941132.021298181959

48.945737693232.132176489863

46.594092356430.928382926465

41.408493203532.364460729769

43.37703463530.636336144470

49.138714140334.474690249279

54.730869740138.204687099785

60.696867912442.11062236193


izol seria 2 (PLUS)

PN-85/B-02421



straty z upywem czasu

8.00

50.00W/mK

0.40W/mK

1.60W/mK


kolejny rok eksploatacjirura przewodowaizol seria1 (standard)CP met. tradycyjnaCP met. conticonti z barier anty dyfuz.

opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rssumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050

grub cianki rury togrub osony PH-HD tc

latammmmmmmmmmseria 1W/mKW/mW/mW/mW/mW/m

05060.32.9125.03.00.000320.019570.360540.03093.88431.426.321.116.010.80.02724.35728.023.418.814.29.60.02454.79525.421.317.112.98.80.02454.79625.421.317.112.98.8

10.03293.66533.327.822.416.911.50.02724.35528.023.418.814.29.60.02454.79325.521.317.112.98.80.02454.79625.421.317.112.98.8

20.03463.50534.829.123.417.712.00.02734.34828.123.518.914.39.70.02464.78425.521.317.113.08.80.02454.79625.421.317.112.98.8

30.03603.38836.030.124.218.312.40.02744.33428.223.518.914.39.70.02474.76625.621.417.213.08.80.02454.79625.421.317.112.98.8

40.03703.30436.930.924.818.812.70.02754.31228.323.719.014.49.70.02484.74025.721.517.313.18.90.02454.79625.421.317.112.98.8

50.03783.24237.631.525.319.113.00.02774.28528.523.819.114.59.80.02504.70725.921.717.413.28.90.02454.79625.421.317.112.98.8

60.03843.19738.231.925.619.413.10.02794.25428.724.019.314.69.90.02524.66926.121.817.613.39.00.02454.79625.421.317.112.98.8

70.03893.16538.532.225.919.613.30.02824.22028.924.219.414.710.00.02554.62726.422.017.713.49.10.02454.79625.421.317.112.98.8

80.03923.14138.832.526.119.713.40.02844.18529.124.419.614.810.00.02574.58526.622.217.913.59.20.02454.79625.421.317.112.98.8

90.03943.12439.132.726.319.813.40.02874.15129.424.619.814.910.10.02604.54326.922.518.113.69.20.02454.79625.421.317.112.98.8

100.03963.11139.232.826.419.913.50.02894.11829.624.819.915.110.20.02624.50327.122.718.213.89.30.02454.79625.421.317.112.98.8

110.03983.10239.332.926.420.013.50.02924.08829.825.020.115.210.30.02654.46627.322.818.413.99.40.02454.79625.421.317.112.98.8

120.03983.09539.433.026.520.013.60.02944.06030.125.120.215.310.30.02674.43227.523.018.514.09.50.02454.79625.421.317.112.98.8

130.03993.09139.533.026.520.113.60.02964.03430.225.320.315.410.40.02694.40127.723.218.614.19.50.02454.79625.421.317.112.98.8

140.04003.08739.533.026.620.113.60.02984.01230.425.420.415.510.50.02714.37327.923.318.714.29.60.02454.79625.421.317.112.98.8

150.04003.08539.633.126.620.113.60.03003.99130.625.620.515.510.50.02734.34928.123.518.914.39.70.02454.79625.421.317.112.98.8

160.04003.08339.633.126.620.113.60.03013.97330.725.720.615.610.60.02744.32728.223.618.914.39.70.02454.79625.421.317.112.98.8

170.04013.08139.633.126.620.113.60.03023.95730.825.820.715.710.60.02754.30828.323.719.014.49.70.02454.79625.421.317.112.98.8

180.04013.08039.633.126.620.113.60.03043.94330.925.920.815.710.70.02774.29128.423.819.114.49.80.02454.79625.421.317.112.98.8

190.04013.08039.633.126.620.113.60.03053.93131.025.920.915.810.70.02784.27628.523.919.214.59.80.02454.79625.421.317.112.98.8

200.04013.07939.633.126.620.113.60.03063.92031.126.020.915.810.70.02794.26328.623.919.214.59.90.02454.79625.421.317.112.98.8

210.04013.07939.633.126.620.113.60.03073.91031.226.121.015.910.70.02804.25128.724.019.314.69.90.02454.79625.421.317.112.98.8

220.04013.07939.633.126.620.113.60.03073.90131.326.121.015.910.80.02804.24028.824.119.314.69.90.02454.79625.421.317.112.98.8

230.04013.07839.633.126.620.113.60.03083.89431.326.221.115.910.80.02814.23128.824.119.414.79.90.02454.79625.421.317.112.98.8

240.04013.07839.633.126.620.113.60.03093.88731.426.221.116.010.80.02824.22328.924.219.414.79.90.02454.79625.421.317.112.98.8

250.04013.07839.633.126.620.113.60.03093.88031.426.321.116.010.80.02824.21528.924.219.514.710.00.02454.79625.421.317.112.98.8

260.04013.07839.633.126.620.113.60.03103.87531.526.321.216.010.80.02834.20929.024.219.514.710.00.02454.79625.421.317.112.98.8

270.04013.07839.633.126.620.113.60.03103.87031.526.421.216.010.90.02834.20329.024.319.514.810.00.02454.79625.421.317.112.98.8

280.04013.07839.633.126.620.113.60.03103.86631.626.421.216.010.90.02834.19729.124.319.514.810.00.02454.79625.421.317.112.98.8

290.04013.07839.633.126.620.113.60.03113.86131.626.421.216.110.90.02844.19329.124.319.614.810.00.02454.79625.421.317.112.98.8

300.04013.07839.633.126.620.113.60.03113.85831.626.421.316.110.90.02844.18829.124.419.614.810.00.02454.79625.421.317.112.98.8

straty 130 C

straty 130 C

31.4079185327.999213983725.440899625725.4355336338

33.292131423928.011145755225.453040889925.4355336338

34.811317470428.059597198125.502342932625.4355336338

36.006544751628.152548695625.59692586125.4355336338

36.928895366828.290522733925.737320571325.4355336338

37.630108023428.468615869925.918536534625.4355336338

38.157167030728.678117515326.131709281725.4355336338

38.549945095228.908393240226.366017055725.4355336338

38.840788235229.148692675626.610520615925.4355336338

39.055132994329.389514150426.855551828425.4355336338

39.212549257529.623363278527.093485439525.4355336338

39.327860455729.844956864827.318946383425.4355336338

39.412169941830.051042550127.528626096925.4355336338

39.473727863930.24002193627.720898917825.4355336338

39.518628775630.411522521227.89538644825.4355336338

39.551355917630.566005480628.052558434525.4355336338

39.575197165730.704447617228.193409149625.4355336338

39.592558410630.828104456828.319216352525.4355336338

39.605197321430.938345418728.431373595425.4355336338

39.614396494931.036546209228.531280754725.4355336338

39.621091065831.124023404928.620277489225.4355336338

39.625962414531.201998454528.699606626925.4355336338

39.629506801531.271581231828.770397443125.4355336338

39.632085543731.333765976928.833661539425.4355336338

39.633961645631.389434654528.890296268625.4355336338

39.635326516731.439364410128.941092324725.4355336338

39.636319443431.48423697828.986743319725.4355336338

39.637041773331.524648710429.0278559925.4355336338

39.637567244631.561120437129.064960230625.4355336338

39.637949504431.59410672129.09851851225.4355336338

39.638227581731.624004294529.128934466425.4355336338

CO2 met. tradycyjna

CP met. tradycyjna

CP met. conti

conti z barier anty dyfuz.

lata

jedn. straty cepa W/m

jednostkowe straty ciepa rury f60.3/125 w funkcji czasu eksploatacji dla temp czynnika +1300C

Chart2

8.99555720597.671338580616

11.0495163249.116513390218

11.28222303099.925744666920

13.039527262411.260881979922

14.607349426712.636421092824

17.301038913314.221266576926

17.836694371314.913085057329

18.644337779215.523659603533

21.729746684517.968980616135

25.922899495920.455716150839

28.173658670121.576488090441

26.96987335420.922410747748

31.131514536823.97855618255

30.171799050327.225945967257

40.836988941132.021298181959

48.945737693232.132176489863

46.594092356430.928382926465

41.408493203532.364460729769

43.37703463530.636336144470

49.138714140334.474690249279

54.730869740138.204687099785

60.696867912442.11062236193


izol seria 2 (PLUS)

PN-85/B-02421



rury stalowe

redn. Nomint min grubo cianki wg EN254jednostkowa masa rury t wg EN253grubo cianki LOGSTORjednostkowa masa rury t wg Logstorodlegoc pomidzy rurami stal dla TWINPIPE

mmmmmmkg/1mmmkg/1mmm

1521.32.01.02.21.019.0

2026.92.01.22.61.619.0

2533.72.31.82.62.019.0

3242.42.62.62.62.619.0

4048.32.62.92.62.919.0

5060.32.94.12.94.120.0

6576.12.95.22.95.220.0

8088.93.26.83.26.825.0

100114.33.69.83.69.825.0

125139.73.612.13.612.130.0

150168.34.016.24.016.240.0

200219.14.523.84.523.840.0

250273.05.033.05.033.045.0

300323.95.644.05.644.0

350355.65.648.35.648.3

400406.46.362.26.362.2

450457.26.370.16.370.1

500508.06.377.96.377.9

550558.86.385.86.385.8

600609.67.1105.57.1105.5

700711.08.0138.78.0138.7

800813.08.8174.58.8174.5

900914.010.0222.910.0222.9

10001016.011.0272.611.0272.6

11001118.011.0300.311.0300.3

12001220.012.5372.212.5372.2

paszcze zewn

nomin redn paszczagrubo paszczamax dopuszcz redn wg EN253obwody paszczy Logstorredn redn Logstor

minmaxrednia

mmmmmmmmmmkg/1mkg/1mkg/1m

753.07900.00.60.7-0.0

903.095290297293.593.40.80.80.8

1103.0116349357353.0112.40.91.01.0

1253.0132399407403.0128.31.11.11.1

1403.0147449458453.5144.41.21.31.3

1603.0168511520515.5164.11.41.51.4

1803.0189570580575.0183.01.61.61.6

2003.2206631641636.0202.41.91.91.9

2253.4232712722717.0228.22.22.32.3

2503.6258800810805.0256.22.62.72.7

2803.9289887898892.5284.13.23.33.2

3154.13259901001995.5316.93.83.93.8

3554.5366111611471131.5360.24.74.84.7

4004.8412125712871272.0404.95.65.85.7

4505.2464141414451429.5455.06.87.06.9

5005.6515157116041587.5505.38.28.48.3

5205.7163416701652.0525.88.78.8

5606.0577176018051782.5567.49.810.19.9

6306.6649198020292004.5638.112.212.512.3

7107.2732223122842257.5718.614.915.415.1

7807.8245125092480.0789.417.818.0

8007.9824251425682541.0808.818.519.018.7

8408.2263926812660.0846.720.120.3

9008.7927282828752851.5907.722.923.623.1

10009.41030314232223182.01012.927.528.327.9

110010.21133345635443500.01114.132.833.833.3

120011.01236377038633816.51214.838.639.839.1

130011.8408541664125.51313.244.945.3

140012.51442439944724435.51411.951.252.851.7

jedn standard

8.00

0.0280W/mK

50.00W/mK

0.40W/mK

1.60W/mK


rura przewodowaizol seria1 (standard)izol seria 2 (PLUS)izolacja standardPLUSstraty ciepa izolacja standardstraty ciepa izolacja PLUSPN-85/B-02421

opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna Ropornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rsoporno cieplna izolacji Risumaryczna oporno cieplna R

grub cianki rury togrub osony PH-HD tcgrub osony PH-HD tc150130110907050150130110907050150130110907050

mmmmmmmmmmmmmmseria 1seria 2W/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/mW/m

2026.92.690.03.0110.03.00.000680.027450.391726.472446.892290.022320.372627.686418.0820320.617.714.811.99.06.117.615.112.610.17.75.234.030.026.020.016.010.0

2533.72.690.03.0110.03.00.000530.027450.391725.191405.611110.022320.372626.405386.8008525.321.718.214.611.07.520.917.915.012.19.16.237.033.029.023.018.011.0

3242.42.6110.03.0125.03.00.000420.022320.372625.100025.495370.019570.360545.865866.2463825.822.218.614.911.37.622.719.516.313.19.96.740.034.030.026.020.013.0

4048.32.6110.03.0125.03.00.000360.022320.372624.359484.754770.019570.360545.125315.5057929.925.721.517.213.08.825.822.218.514.911.37.643.036.032.028.022.014.0

5060.32.9125.03.0140.03.00.000320.019570.360543.864014.244440.017430.349904.538804.9064533.528.724.019.314.69.928.924.920.816.712.68.646.041.036.031.024.015.0

6576.12.9140.03.0160.03.00.000250.017430.349903.216023.583600.015210.337464.006754.3596739.634.028.522.917.311.732.628.023.418.814.29.651.046.040.034.026.016.0

8088.93.2160.03.0180.03.00.000240.015210.337463.123083.475980.013490.326573.817124.1574240.935.129.323.617.812.134.229.324.519.714.910.153.047.042.036.029.017.0

100114.33.6200.03.2225.03.40.000210.012940.316922.995343.325410.012210.306233.675263.9939042.736.730.724.718.612.635.630.525.520.515.510.560.052.047.039.033.019.0

125139.73.6225.03.4250.03.60.000170.012210.306232.534632.853230.011630.296763.141843.4503949.842.835.728.721.714.741.235.429.623.818.012.265.055.050.041.035.020.0

150168.34.0250.03.6280.03.90.000160.011630.296762.083172.391710.011240.286692.732863.0309459.451.042.634.325.917.646.940.333.727.120.513.972.063.054.046.039.022.0

200219.14.5315.04.1355.04.50.000130.010490.276351.913662.200640.010220.266022.597132.8735064.555.446.437.328.219.149.442.535.528.521.614.681.071.063.052.041.024.0

250273.05.0400.04.8450.05.20.000120.009670.255872.033202.298860.009300.246042.707872.9633361.853.144.435.727.018.347.941.234.427.720.914.294.083.073.060.048.029.0

300323.95.6450.05.2500.05.60.000110.009300.246041.736101.991550.009010.237402.339112.5856471.361.351.241.231.121.154.947.239.431.724.016.2102.088.076.065.055.030.0

350355.65.6500.05.6520.05.70.000100.009010.237401.808382.054900.008820.234232.034092.2772469.159.449.639.930.220.462.453.644.836.027.218.4109.094.082.068.057.032.0

400406.46.3520.05.7560.06.00.000100.008820.234231.275081.518230.008620.228301.699191.9362193.580.467.254.040.827.773.363.052.742.432.021.7110.097.084.069.059.036.0

450457.26.3560.06.0630.06.60.000090.008620.228301.029701.266710.008430.219061.701961.92953112.196.380.564.748.933.273.663.252.942.532.121.8121.0104.090.074.063.039.0

500508.06.3630.06.6710.07.20.000080.008430.219061.103081.330640.008150.209921.786482.00463106.791.776.761.646.631.670.860.950.940.930.921.0125.0106.093.077.065.040.0

600609.67.1780.07.8840.08.20.000080.008040.202921.286251.497280.007850.197521.710241.9156894.881.568.154.841.428.174.163.753.242.832.421.9135.0117.0102.081.069.046.0

700711.08.0900.08.71000.09.40.000070.007770.192591.228901.429330.007550.185241.830872.0237499.385.471.457.443.429.470.260.350.440.530.620.8147.0129.0109.088.070.052.0

800813.08.81000.09.41100.010.20.000070.007550.185241.068871.261730.007450.178811.612101.79842112.596.780.865.049.133.379.067.856.745.634.523.4164.0144.0122.099.079.058.0

900914.010.01100.010.21200.011.00.000070.007450.178810.946491.132820.007360.173101.442301.62284125.4107.790.072.454.737.187.575.262.950.538.225.9173.0152.0127.0104.085.060.0

10001016.011.01200.011.01300.011.80.000070.007360.173100.840931.021470.007290.168011.296941.47231139.0119.499.980.360.741.196.482.969.355.742.128.5190.0165.0138.0111.093.065.0

130 C

130 C

17.700935147115.095214626430

21.742596637617.938945703233

22.200503383319.531304021934

25.65842461322.158509702336

28.743494033124.865215698741

34.043979797127.98378261946

35.098011504929.345102854647

36.687245307430.546555994152

42.758533798635.358316696255

51.009576427540.251570490263

55.438489641142.45696043671

53.069750793441.169905019783

61.258786669247.183610551788

59.370314260353.573635612994

80.356655658263.009651261297

96.31258062263.2278311573104

91.685149475460.859076081106

81.481228561663.6849065971117

85.354810088360.2844033808129

96.692308469767.8372937161144

107.696227553175.1769649381152

119.435772343882.862837549165


izol seria 2 (PLUS)

PN-85/B-02421



90 C

90 C

11.89734985310.145963929220

14.613876428512.057324161223

14.92164981513.127597785226

17.245826379214.89342455428

19.319397628816.712685961431

22.882019207918.808771924234

23.590466749219.723757656436

24.658640288620.531291733739

28.739342389223.765425976241

34.285125139827.054334263946

37.261935660428.53664553952

35.669832500527.671575505160

41.173938580931.713574305365

39.904637453636.008509182468

54.010211180142.350749208369

64.734685336142.497394712374

61.624444729440.905280644677

54.766071656242.804609352281

57.369626452840.519025223288

64.989912250145.595558071599

72.385989011150.5287797125104

80.276502722955.6946940903111


izol seria 2 (PLUS)

PN-85/B-02421



70 C

70 C

8.99555720597.671338580616

11.0495163249.116513390218

11.28222303099.925744666920

13.039527262411.260881979922

14.607349426712.636421092824

17.301038913314.221266576926

17.836694371314.913085057329

18.644337779215.523659603533

21.729746684517.968980616135

25.922899495920.455716150839

28.173658670121.576488090441

26.96987335420.922410747748

31.131514536823.97855618255

30.171799050327.225945967257

40.836988941132.021298181959

48.945737693232.132176489863

46.594092356430.928382926465

41.408493203532.364460729769

43.37703463530.636336144470

49.138714140334.474690249279

54.730869740138.204687099785

60.696867912442.11062236193


izol seria 2 (PLUS)

PN-85/B-02421



straty z upywem czasu

8.00

50.00W/mK

0.40W/mK

1.60W/mK


kolejny rok eksploatacjirura przewodowaizol seria1 (standard)CP met. tradycyjnaCP met. conticonti z barier anty dyfuz.

opornoc cieplna rury stalowej Roopornoc cieplna rury PE-HD Rcopornoc cieplna gruntu Rssumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050sumaryczna oporno cieplna R130110907050

grub cianki rury togrub osony PH-HD tc

latammmmmmmmmmseria 1W/mKW/mW/mW/mW/mW/m

05060.32.9125.03.00.000320.019570.360540.03093.88431.426.321.116.010.80.02724.35728.023.418.814.29.60.02454.79525.421.317.112.98.80.02454.79625.421.317.112.98.8

10.03293.66533.327.822.416.911.50.02724.35528.023.418.814.29.60.02454.79325.521.317.112.98.80.02454.79625.421.317.112.98.8

20.03463.50534.829.123.417.712.00.02734.34828.123.518.914.39.70.02464.78425.521.317.113.08.80.02454.79625.421.317.112.98.8

30.03603.38836.030.124.218.312.40.02744.33428.223.518.914.39.70.02474.76625.621.417.213.08.80.02454.79625.421.317.112.98.8

40.03703.30436.930.924.818.812.70.02754.31228.323.719.014.49.70.02484.74025.721.517.313.18.90.02454.79625.421.317.112.98.8

50.03783.24237.631.525.319.113.00.02774.28528.523.819.114.59.80.02504.70725.921.717.413.28.90.02454.79625.421.317.112.98.8

60.03843.19738.231.925.619.413.10.02794.25428.724.019.314.69.90.02524.66926.121.817.613.39.00.02454.79625.421.317.112.98.8

70.03893.16538.532.225.919.613.30.02824.22028.924.219.414.710.00.02554.62726.422.017.713.49.10.02454.79625.421.317.112.98.8

80.03923.14138.832.526.119.713.40.02844.18529.124.419.614.810.00.02574.58526.622.217.913.59.20.02454.79625.421.317.112.98.8

90.03943.12439.132.726.319.813.40.02874.15129.424.619.814.910.10.02604.54326.922.518.113.69.20.02454.79625.421.317.112.98.8

100.03963.11139.232.826.419.913.50.02894.11829.624.819.915.110.20.02624.50327.122.718.213.89.30.02454.79625.421.317.112.98.8

110.03983.10239.332.926.420.013.50.02924.08829.825.020.115.210.30.02654.46627.322.818.413.99.40.02454.79625.421.317.112.98.8

120.03983.09539.433.026.520.013.60.02944.06030.125.120.215.310.30.02674.43227.523.018.514.09.50.02454.79625.421.317.112.98.8

130.03993.09139.533.026.520.113.60.02964.03430.225.320.315.410.40.02694.40127.723.218.614.19.50.02454.79625.421.317.112.98.8

140.04003.08739.533.026.620.113.60.02984.01230.425.420.415.510.50.02714.37327.923.318.714.29.60.02454.79625.421.317.112.98.8

150.04003.08539.633.126.620.113.60.03003.99130.625.620.515.510.50.02734.34928.123.518.914.39.70.02454.79625.421.317.112.98.8

160.04003.08339.633.126.620.113.60.03013.97330.725.720.615.610.60.02744.32728.223.618.914.39.70.02454.79625.421.317.112.98.8

170.04013.08139.633.126.620.113.60.03023.95730.825.820.715.710.60.02754.30828.323.719.014.49.70.02454.79625.421.317.112.98.8

180.04013.08039.633.126.620.113.60.03043.94330.925.920.815.710.70.02774.29128.423.819.114.49.80.02454.79625.421.317.112.98.8

190.04013.08039.633.126.620.113.60.03053.93131.025.920.915.810.70.02784.27628.523.919.214.59.80.02454.79625.421.317.112.98.8

200.04013.07939.633.126.620.113.60.03063.92031.126.020.915.810.70.02794.26328.623.919.214.59.90.02454.79625.421.317.112.98.8

210.04013.07939.633.126.620.113.60.03073.91031.226.121.015.910.70.02804.25128.724.019.314.69.90.02454.79625.421.317.112.98.8

220.04013.07939.633.126.620.113.60.03073.90131.326.121.015.910.80.02804.24028.824.119.314.69.90.02454.79625.421.317.112.98.8

230.04013.07839.633.126.620.113.60.03083.89431.326.221.115.910.80.02814.23128.824.119.414.79.90.02454.79625.421.317.112.98.8

240.04013.07839.633.126.620.113.60.03093.88731.426.221.116.010.80.02824.22328.924.219.414.79.90.02454.79625.421.317.112.98.8

250.04013.07839.633.126.620.113.60.03093.88031.426.321.116.010.80.02824.21528.924.219.514.710.00.02454.79625.421.317.112.98.8

260.04013.07839.633.126.620.113.60.03103.87531.526.321.216.010.80.02834.20929.024.219.514.710.00.02454.79625.421.317.112.98.8

270.04013.07839.633.126.620.113.60.03103.87031.526.421.216.010.90.02834.20329.024.319.514.810.00.02454.79625.421.317.112.98.8

280.04013.07839.633.126.620.113.60.03103.86631.626.421.216.010.90.02834.19729.124.319.514.810.00.02454.79625.421.317.112.98.8

290.04013.07839.633.126.620.113.60.03113.86131.626.421.216.110.90.02844.19329.124.319.614.810.00.02454.79625.421.317.112.98.8

300.04013.07839.633.126.620.113.60.03113.85831.626.421.316.110.90.02844.18829.124.419.614.810.00.02454.79625.421.317.112.98.8

straty 130 C

straty 130 C

31.4079185327.999213983725.440899625725.4355336338

33.292131423928.011145755225.453040889925.4355336338

34.811317470428.059597198125.502342932625.4355336338

36.006544751628.152548695625.59692586125.4355336338

36.928895366828.290522733925.737320571325.4355336338

37.630108023428.468615869925.918536534625.4355336338

38.157167030728.678117515326.131709281725.4355336338

38.549945095228.908393240226.366017055725.4355336338

38.840788235229.148692675626.610520615925.4355336338

39.055132994329.389514150426.855551828425.4355336338

39.212549257529.623363278527.093485439525.4355336338

39.327860455729.844956864827.318946383425.4355336338

39.412169941830.051042550127.528626096925.4355336338

39.473727863930.24002193627.720898917825.4355336338

39.518628775630.411522521227.89538644825.4355336338

39.551355917630.566005480628.052558434525.4355336338

39.575197165730.704447617228.193409149625.4355336338

39.592558410630.828104456828.319216352525.4355336338

39.605197321430.938345418728.431373595425.4355336338

39.614396494931.036546209228.531280754725.4355336338

39.621091065831.124023404928.620277489225.4355336338

39.625962414531.201998454528.699606626925.4355336338

39.629506801531.271581231828.770397443125.4355336338

39.632085543731.333765976928.833661539425.4355336338

39.633961645631.389434654528.890296268625.4355336338

39.635326516731.439364410128.941092324725.4355336338

39.636319443431.48423697828.986743319725.4355336338

39.637041773331.524648710429.0278559925.4355336338

39.637567244631.561120437129.064960230625.4355336338

39.637949504431.59410672129.09851851225.4355336338

39.638227581731.624004294529.128934466425.4355336338

CO2 met. tradycyjna

CP met. tradycyjna

CP met. conti

conti z barier anty dyfuz.

lata

jedn. straty cepa W/m

jednostkowe straty ciepa rury f60.3/125 w funkcji czasu eksploatacji dla temp czynnika +1300C

Zmiana gruboci izolacjiWpyw zmiany gruboci izolacji na straty ciepa sieci preizolowanej z uwzgldnieniem czasu zwrotu dodatkowych kosztw zwizanych z zakupem materiaw i kosztami montau.oblicze przyjto:sezon grzewczy 205 dnirednia temp zasilania 820C, powrotu 500C,sezon letni 160 dnirednia temp zasilania 70,40C, powrotu 540C, cena energii 34 z/GJrednice-dugoci DN50-DN200 cznie dug. 600mrednice-dugoci DN700 cznie dugo 1150m

Chart2

493.0076506.5246520.0416

537.018400901545.8010553012556.6535891123

578.5502260777582.8652041405591.203351899

617.7427076323617.8416580656623.8070464146

654.7276126748650.848009688654.5742879329

689.6292863312681.9952280353683.6085174799

722.565069798711.3880316349711.0073496076

753.6456948491739.1252405828736.8629005787

782.9756561219765.3001087817761.2620980666

810.6535624331790.0006374658784.2869734102

836.7724683072813.3098710648806.0149374079

standard/standard

plus/standard

plus/plus

czs eksploatacji

cakowite koszty koszty w ty z

cakowite koszty inwestycji w okresie 20 lat eksploatacji dla rnych rodzajw izolacji DN50-DN200

ceny jednostk

standardplusrnica %

26,9/ 90314.6398.220.9944751381

33,7/ 90336.6414.1518.7250996016

42,4/110418.55489.514.4943820225

48,3/110439.45503.812.7729257642

60,3/125548.35647.915.3650254669

76,1/140691.9782.111.5330520394

88,9/160845.351020.2517.1428571429

114,3/2001141.81278.7510.7096774194

139,7/2251358.51521.8510.7336465486

168,3/2501693.451922.2511.9027181688

219,1/3152456.32869.914.4116519739

273,0/4003142.153754.316.305303252314.4350464806

323,9/4503966.054606.813.9087870105

406,4/5205529.76136.359.8861701174

457,2/5606178.158334.725.8743566055

508,0/6307462.49968.7525.1420689655

rednia15.6188873273

male

standard/standardplus/standardplus/plus

0493.0506.5520.0

2537.0545.8556.7

4578.6582.9591.2

6617.7617.8623.8

8654.7650.8654.6

10689.6682.0683.6

12722.6711.4711.0

14753.6739.1736.9

16783.0765.3761.3

18810.7790.0784.3

20836.8813.3806.0

22861.4835.3826.5

24884.7856.1845.9

26906.6875.7864.1

28927.3894.1881.4

30946.9911.6897.6

male

standard/standard

plus/standard

plus/plus

czs eksploatacji



DN700


04355.04602.94978.0

24540.14755.15112.1

44714.84898.65238.7

64879.75034.15358.1

85035.25162.05470.8

105182.05282.75577.2

125320.55396.55677.5

145451.35504.05772.2

165574.65605.45861.6

185691.15701.05946.0

205800.95791.36025.6

225904.65876.56100.7

246002.45956.96171.5

266094.76032.86238.4

286181.96104.46301.6

306264.16172.06361.1

DN700

standard/standard

plus/standard

plus/plus

czs eksploatacji


cakowite koszty inwestycji w okresie 30 lat eksploatacji dla rnych rodzajw izolacji DN700

starzenie pianki

interpolacja Iwko

pienienie CPCP

00.03130.02750.03070.0275

70.03260.02850.03310.0290

140.03330.03010.03450.0295

280.03670.03030.03620.0301

560.03920.03820.0309

580.03110.03830.0309

840.03920.03930.0313

1080.03110.03990.0317

1720.03290.04090.0323

Richards Model:Exponential Association (3): y=a(b-exp(-cx))

MMF Model: y=(a*b+c*x^d)/(b+x^d)y=a/(1+exp(b-cx)^(1/d))y=a(b-exp(-cx))

Coefficient Data:Coefficient Data:Coefficient Data:

a =0.0306649910.0274584370.0390513210.0092518694

b =23.82433915.4128684.1459964.3497019

c =0.043961030.0379617260.112936150.028801385

d =0.853115120.4974079818.335231

00.0306649910.0274584370.03110.0310

50.03255481950.02878433210.03210.0322

100.03372772990.02923770450.03300.0333

150.03461723450.02955589920.03400.0342

200.03533082030.02980643910.03500.0350

250.035922350.03001497680.03590.0357

300.03642389550.03019444540.03670.0363

350.03685639170.03035240740.03740.0369

400.03723433860.03049371720.03790.0373

450.03756821430.03062169970.03840.0377

500.03786583760.03073874310.03860.0381

550.03813319450.03084662710.03880.0383

600.03837496450.03094671730.03890.0386

650.03859486990.03104008650.03900.0388

700.0387959170.03112759450.03900.0390

750.03898056440.03120994190.03900.0392

800.03915084650.03128770780.03900.0393

850.0393084630.03136137660.03900.0394

900.03945484730.03143135850.03900.0396

950.03959121720.03149800340.03900.0396

1000.03971861550.0315616130.03900.0397

1050.03983794080.03162244890.03910.0398

1100.03994997220.03168073990.03910.0399

1150.04005538870.03173668710.03910.0399

1200.04015478530.03179046820.03910.0400

1250.0402486860.03184224140.03910.0400

1300.0403375540.03189214770.03910.0400

1350.04042180040.03194031380.03910.0401

1400.04050179180.03198685370.03910.0401

1450.0405778560.03203187040.03910.0401

1500.04065028710.03207545730.03910.0401

1550.04071934990.03211769950.03910.0401

1600.04078528340.03215867470.03910.0402

1650.04084830410.03219845380.03910.0402

1700.04090860840.03223710210.03910.0402

1750.04096637520.03227467950.03910.0402

gaz[W/mK]

c-pentan0.0130

0.0175

0.0270

0.0270

starzenie pianki

pienienie CO2

pienienie CP

czas starzenia w dniach

wspczynnik przewodzenia ciepa izolacji PUR l50 [W/mK]

zmiana wspczynnika przewodzenia ciepa l50 w fynkcji czasu dla temperatury starzenia 800C

starzenie interpol

pienienie CO2

pienienie CP

czas starzenia rury f60.3/125 w dniach


zmiana wspczynnika przewodzenia ciepa l50 w funkcji czasu dla temperatury starzenia 800C

lambda starz wykres interp

Logistic Model: y=a/(1+b*exp(-cx))MMF Model: y=(a*b+c*x^d)/(b+x^d)CP linioweCP wielomianLinear Fit: y=a+bx

Coefficient Data:Coefficient Data:aproksymacja linioway=a+bxy = a/(1+b*exp(-cx))y=a+bxy=(a+c*x^d)/(b+x^d)Coefficient Data:

a =0.040110594a =0.027205614Linear Fit: y=a+bxa =0.02708845

b =0.29903149b =341.23761cyklopentanCO2a=0,031a=0,04020.0275a=9,3ab =0.00016520468

c =0.31821798c =0.031553116a =0.0274a =0.03b=0,00114b=0,2990.000155b=342,0brozpatrywany okres w latach

d =2.3568527b =0.00014b =0.001c=0,315c=0,032cCP metoda tradycyjnaCP metoda contiCP bariera antydyfuzyjna

CO2CP met tradycCP met. ContiCP trad apr. liniowaCO2 apr. biliniowad=2,36d

00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250

10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250

20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250

30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250

40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250

50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250

60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283

70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286

80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289

90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291

100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294

110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297

120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299

130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302

140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304

150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305

160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307

170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309

180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310

190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311

200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312

210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313

220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314

230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315

240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315

250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316

260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316

270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317

280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317

290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318

300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318

rnicarnica


CO2

CO2 wielomian

CO2 liniowe

CP met tradyc

CP wielomian

CP liniowe

czas w latach

warto l50 w W/mK

zmiana l50 izolacji w funkcji czasu

0.031CP=0.0275czas eksploatacji:

CPliniow CP

00.03100.03100.02750.02750.0245

10.03310.03210.02750.02770.0245

20.03480.03330.02760.02780.0245

30.03610.03440.02770.02800.0246

40.03720.03560.02780.02810.0246

50.03800.03670.02800.02830.0246

60.03860.03780.02830.02840.0246

70.03900.03900.02860.02860.0246

80.03940.04010.02890.02870.0246

90.03960.04030.02910.02890.0247

100.03980.04030.02940.02910.0247

110.03990.04030.02970.02920.0247

120.04000.04030.02990.02940.0247

130.04010.04030.03020.02950.0247

140.04020.04030.03040.02970.0247

150.04020.04030.03050.02980.0248

160.04020.04030.03070.03000.0248

170.04020.04030.03090.03010.0248

180.04030.04030.03100.03030.0248

190.04030.04030.03110.03040.0248

200.04030.04030.03120.03060.0248

210.04030.04030.03130.03080.0249

220.04030.04030.03140.03090.0249

230.04030.04030.03150.03110.0249

240.04030.04030.03150.03120.0249

250.04030.04030.03160.03140.0249

260.04030.04030.03160.03150.0249

270.04030.04030.03170.03170.0250

280.04030.04030.03170.03180.0250

290.04030.04030.03180.03200.0250

300.04030.04030.03180.03220.0250

0000

1111

2222

3333

4444

5555

6666

7777

8888

9999

10101010

11111111

12121212

13131313

14141414

15151515

16161616

17171717

18181818

19191919

20202020

21212121

22222222

23232323

24242424

25252525

26262626

27272727

28282828

29292929

30303030

CO2

CP met tradyc

CP trad apr. liniowa

CO2 apr. biliniowa

axial conti

lata

wspoczynnik przewodzenia ciepa W/mK

zmiana wspczynnika przewodzenia ciepa izolacji PUR w funkcji czasu eksploatacji

Chart3

43554602.9254977.9855

4540.11532870944755.07123377785112.10174353

4714.80375318944898.64759806125238.6636843632

4879.65258478035034.13680386665358.0968301617

5035.21605361235161.99437277365470.8027212173

5182.01717195495282.65016841155577.1602804501

5320.54949261135396.50984168295677.527087367

5451.27876826755503.95619458225772.2405802616

5574.64451737655605.35046719585861.6191906993

5691.06150184185701.03355220915945.9634141002

5800.92112146785791.32714100546025.5568200196

5904.59272986595876.53480520826100.667005524

6002.424876245956.94301730496171.5464948653

6094.74647722646032.82211378156238.4335884804

6181.86792272886104.42720400756301.5531641695

6264.0821194646171.9990279276361.1174331462

standard/standard

plus/standard

plus/plus

czs eksploatacji



ceny jednostk

standardplusrnica %

26,9/ 90314.6398.220.9944751381

33,7/ 90336.6414.1518.7250996016

42,4/110418.55489.514.4943820225

48,3/110439.45503.812.7729257642

60,3/125548.35647.915.3650254669

76,1/140691.9782.111.5330520394

88,9/160845.351020.2517.1428571429

114,3/2001141.81278.7510.7096774194

139,7/2251358.51521.8510.7336465486

168,3/2501693.451922.2511.9027181688

219,1/3152456.32869.914.4116519739

273,0/4003142.153754.316.305303252314.4350464806

323,9/4503966.054606.813.9087870105

406,4/5205529.76136.359.8861701174

457,2/5606178.158334.725.8743566055

508,0/6307462.49968.7525.1420689655

rednia15.6188873273

male


0493.0506.5520.0

2537.0545.8556.7

4578.6582.9591.2

6617.7617.8623.8

8654.7650.8654.6

10689.6682.0683.6

12722.6711.4711.0

14753.6739.1736.9

16783.0765.3761.3

18810.7790.0784.3

20836.8813.3806.0

22861.4835.3826.5

24884.7856.1845.9

26906.6875.7864.1

28927.3894.1881.4

30946.9911.6897.6

male

standard/standard

plus/standard

plus/plus

czs eksploatacji



DN700


04355.04602.94978.0

24540.14755.15112.1

44714.84898.65238.7

64879.75034.15358.1

85035.25162.05470.8

105182.05282.75577.2

125320.55396.55677.5

145451.35504.05772.2

165574.65605.45861.6

185691.15701.05946.0

205800.95791.36025.6

225904.65876.56100.7

246002.45956.96171.5

266094.76032.86238.4

286181.96104.46301.6

306264.16172.06361.1

DN700

standard/standard

plus/standard

plus/plus

czs eksploatacji



starzenie pianki

interpolacja Iwko

pienienie CPCP

00.03130.02750.03070.0275

70.03260.02850.03310.0290

140.03330.03010.03450.0295

280.03670.03030.03620.0301

560.03920.03820.0309

580.03110.03830.0309

840.03920.03930.0313

1080.03110.03990.0317

1720.03290.04090.0323




a =0.0306649910.0274584370.0390513210.0092518694

b =23.82433915.4128684.1459964.3497019

c =0.043961030.0379617260.112936150.028801385

d =0.853115120.4974079818.335231

00.0306649910.0274584370.03110.0310

50.03255481950.02878433210.03210.0322

100.03372772990.02923770450.03300.0333

150.03461723450.02955589920.03400.0342

200.03533082030.02980643910.03500.0350

250.035922350.03001497680.03590.0357

300.03642389550.03019444540.03670.0363

350.03685639170.03035240740.03740.0369

400.03723433860.03049371720.03790.0373

450.03756821430.03062169970.03840.0377

500.03786583760.03073874310.03860.0381

550.03813319450.03084662710.03880.0383

600.03837496450.03094671730.03890.0386

650.03859486990.03104008650.03900.0388

700.0387959170.03112759450.03900.0390

750.03898056440.03120994190.03900.0392

800.03915084650.03128770780.03900.0393

850.0393084630.03136137660.03900.0394

900.03945484730.03143135850.03900.0396

950.03959121720.03149800340.03900.0396

1000.03971861550.0315616130.03900.0397

1050.03983794080.03162244890.03910.0398

1100.03994997220.03168073990.03910.0399

1150.04005538870.03173668710.03910.0399

1200.04015478530.03179046820.03910.0400

1250.0402486860.03184224140.03910.0400

1300.0403375540.03189214770.03910.0400

1350.04042180040.03194031380.03910.0401

1400.04050179180.03198685370.03910.0401

1450.0405778560.03203187040.03910.0401

1500.04065028710.03207545730.03910.0401

1550.04071934990.03211769950.03910.0401

1600.04078528340.03215867470.03910.0402

1650.04084830410.03219845380.03910.0402

1700.04090860840.03223710210.03910.0402

1750.04096637520.03227467950.03910.0402

gaz[W/mK]

c-pentan0.0130

0.0175

0.0270

0.0270

starzenie pianki

pienienie CO2

pienienie CP




starzenie interpol

pienienie CO2

pienienie CP












00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250

10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250

20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250

30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250

40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250

50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250

60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283

70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286

80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289

90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291

100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294

110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297

120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299

130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302

140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304

150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305

160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307

170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309

180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310

190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311

200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312

210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313

220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314

230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315

240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315

250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316

260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316

270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317

280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317

290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318

300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318

rnicarnica


CO2

CO2 wielomian

CO2 liniowe

CP met tradyc

CP wielomian

CP liniowe

czas w latach

warto l50 w W/mK



CPliniow CP

00.03100.03100.02750.02750.0245

10.03310.03210.02750.02770.0245

20.03480.03330.02760.02780.0245

30.03610.03440.02770.02800.0246

40.03720.03560.02780.02810.0246

50.03800.03670.02800.02830.0246

60.03860.03780.02830.02840.0246

70.03900.03900.02860.02860.0246

80.03940.04010.02890.02870.0246

90.03960.04030.02910.02890.0247

100.03980.04030.02940.02910.0247

110.03990.04030.02970.02920.0247

120.04000.04030.02990.02940.0247

130.04010.04030.03020.02950.0247

140.04020.04030.03040.02970.0247

150.04020.04030.03050.02980.0248

160.04020.04030.03070.03000.0248

170.04020.04030.03090.03010.0248

180.04030.04030.03100.03030.0248

190.04030.04030.03110.03040.0248

200.04030.04030.03120.03060.0248

210.04030.04030.03130.03080.0249

220.04030.04030.03140.03090.0249

230.04030.04030.03150.03110.0249

240.04030.04030.03150.03120.0249

250.04030.04030.03160.03140.0249

260.04030.04030.03160.03150.0249

270.04030.04030.03170.03170.0250

280.04030.04030.03170.03180.0250

290.04030.04030.03180.03200.0250

300.04030.04030.03180.03220.0250

0000

1111

2222

3333

4444

5555

6666

7777

8888

9999

10101010

11111111

12121212

13131313

14141414

15151515

16161616

17171717

18181818

19191919

20202020

21212121

22222222

23232323

24242424

25252525

26262626

27272727

28282828

29292929

30303030

CO2

CP met tradyc


CO2 apr. biliniowa

axial conti

lata



Zmiana czynnika pienicego i zjawisko dyfuzjiPraktyczna wiedza potwierdzona wynikami bada laboratoryjnych pokazuje, e dla nowych rur preizolowanych warto wspczynnika przewodzenia ciepa wynosi w przyblieniu:dla systemw pienionych CO2l50=0,030 0,031 W/mKdla systemw pienionych Cyklopentaneml50=0,0275 0,029 W/mK - dla metody tradyc.dla systemw pienionych Cyklopentaneml50=0,024 0,026 W/mK - dla metody CONTI

ceny jednostk

standardplusrnica %

26,9/ 90314.6398.220.9944751381

33,7/ 90336.6414.1518.7250996016

42,4/110418.55489.514.4943820225

48,3/110439.45503.812.7729257642

60,3/125548.35647.915.3650254669

76,1/140691.9782.111.5330520394

88,9/160845.351020.2517.1428571429

114,3/2001141.81278.7510.7096774194

139,7/2251358.51521.8510.7336465486

168,3/2501693.451922.2511.9027181688

219,1/3152456.32869.914.4116519739

273,0/4003142.153754.316.305303252314.4350464806

323,9/4503966.054606.813.9087870105

406,4/5205529.76136.359.8861701174

457,2/5606178.158334.725.8743566055

508,0/6307462.49968.7525.1420689655

rednia15.6188873273

male


0493.0506.5520.0

2537.0545.8556.7

4578.6582.9591.2

6617.7617.8623.8

8654.7650.8654.6

10689.6682.0683.6

12722.6711.4711.0

14753.6739.1736.9

16783.0765.3761.3

18810.7790.0784.3

20836.8813.3806.0

22861.4835.3826.5

24884.7856.1845.9

26906.6875.7864.1

28927.3894.1881.4

30946.9911.6897.6

male

standard/standard

plus/standard

plus/plus

czs eksploatacji



DN700


04355.04602.94978.0

24540.14755.15112.1

44714.84898.65238.7

64879.75034.15358.1

85035.25162.05470.8

105182.05282.75577.2

125320.55396.55677.5

145451.35504.05772.2

165574.65605.45861.6

185691.15701.05946.0

205800.95791.36025.6

225904.65876.56100.7

246002.45956.96171.5

266094.76032.86238.4

286181.96104.46301.6

306264.16172.06361.1

DN700

standard/standard

plus/standard

plus/plus

czs eksploatacji



starzenie pianki

interpolacja Iwko

pienienie CPCP

00.03130.02750.03070.0275

70.03260.02850.03310.0290

140.03330.03010.03450.0295

280.03670.03030.03620.0301

560.03920.03820.0309

580.03110.03830.0309

840.03920.03930.0313

1080.03110.03990.0317

1720.03290.04090.0323




a =0.0306649910.0274584370.0390513210.0092518694

b =23.82433915.4128684.1459964.3497019

c =0.043961030.0379617260.112936150.028801385

d =0.853115120.4974079818.335231

00.0306649910.0274584370.03110.0310

50.03255481950.02878433210.03210.0322

100.03372772990.02923770450.03300.0333

150.03461723450.02955589920.03400.0342

200.03533082030.02980643910.03500.0350

250.035922350.03001497680.03590.0357

300.03642389550.03019444540.03670.0363

350.03685639170.03035240740.03740.0369

400.03723433860.03049371720.03790.0373

450.03756821430.03062169970.03840.0377

500.03786583760.03073874310.03860.0381

550.03813319450.03084662710.03880.0383

600.03837496450.03094671730.03890.0386

650.03859486990.03104008650.03900.0388

700.0387959170.03112759450.03900.0390

750.03898056440.03120994190.03900.0392

800.03915084650.03128770780.03900.0393

850.0393084630.03136137660.03900.0394

900.03945484730.03143135850.03900.0396

950.03959121720.03149800340.03900.0396

1000.03971861550.0315616130.03900.0397

1050.03983794080.03162244890.03910.0398

1100.03994997220.03168073990.03910.0399

1150.04005538870.03173668710.03910.0399

1200.04015478530.03179046820.03910.0400

1250.0402486860.03184224140.03910.0400

1300.0403375540.03189214770.03910.0400

1350.04042180040.03194031380.03910.0401

1400.04050179180.03198685370.03910.0401

1450.0405778560.03203187040.03910.0401

1500.04065028710.03207545730.03910.0401

1550.04071934990.03211769950.03910.0401

1600.04078528340.03215867470.03910.0402

1650.04084830410.03219845380.03910.0402

1700.04090860840.03223710210.03910.0402

1750.04096637520.03227467950.03910.0402

gaz[W/mK]

c-pentan0.0130

0.0175

0.0270

0.0270

starzenie pianki

pienienie CO2

pienienie CP




starzenie interpol

pienienie CO2

pienienie CP












00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250

10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250

20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250

30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250

40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250

50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250

60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283

70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286

80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289

90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291

100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294

110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297

120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299

130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302

140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304

150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305

160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307

170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309

180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310

190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311

200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312

210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313

220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314

230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315

240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315

250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316

260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316

270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317

280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317

290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318

300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318

rnicarnica


CO2

CO2 wielomian

CO2 liniowe

CP met tradyc

CP wielomian

CP liniowe

czas w latach

warto l50 w W/mK



CPliniow CP

00.03100.03100.02750.02750.0245

10.03310.03210.02750.02770.0245

20.03480.03330.02760.02780.0245

30.03610.03440.02770.02800.0246

40.03720.03560.02780.02810.0246

50.03800.03670.02800.02830.0246

60.03860.03780.02830.02840.0246

70.03900.03900.02860.02860.0246

80.03940.04010.02890.02870.0246

90.03960.04030.02910.02890.0247

100.03980.04030.02940.02910.0247

110.03990.04030.02970.02920.0247

120.04000.04030.02990.02940.0247

130.04010.04030.03020.02950.0247

140.04020.04030.03040.02970.0247

150.04020.04030.03050.02980.0248

160.04020.04030.03070.03000.0248

170.04020.04030.03090.03010.0248

180.04030.04030.03100.03030.0248

190.04030.04030.03110.03040.0248

200.04030.04030.03120.03060.0248

210.04030.04030.03130.03080.0249

220.04030.04030.03140.03090.0249

230.04030.04030.03150.03110.0249

240.04030.04030.03150.03120.0249

250.04030.04030.03160.03140.0249

260.04030.04030.03160.03150.0249

270.04030.04030.03170.03170.0250

280.04030.04030.03170.03180.0250

290.04030.04030.03180.03200.0250

300.04030.04030.03180.03220.0250

0000

1111

2222

3333

4444

5555

6666

7777

8888

9999

10101010

11111111

12121212

13131313

14141414

15151515

16161616

17171717

18181818

19191919

20202020

21212121

22222222

23232323

24242424

25252525

26262626

27272727

28282828

29292929

30303030

CO2

CP met tradyc


CO2 apr. biliniowa

axial conti

lata



Zmiana czynnika pienicego i zjawisko dyfuzjiW wyniku starzenia si izolacji w skali 30 lat stosowanie:Cyklopentanu zamiast CO2 daje oszczdnoci strat ciepa o ok. 18%,Zastosowanie bariery antydyfuzyjnej w rurach preizolowanych pienionych cyklopentanem daje kolejne 9%.

Chart1

0.03104688220.02749298250.02750.0310.0245

0.03309932130.02750699710.0276550.032140.024517

0.03477774440.02756407270.027810.033280.024534

0.03611456090.02767378550.0279650.034420.024551

0.03715709330.02783691310.028120.035560.024568

0.0379568410.02804780750.0282750.03670.024585

0.03856262510.02829627710.028430.037840.024602

0.03901710140.02856979090.0285850.038980.024619

0.03935561120.02885561320.028740.040120.024636

0.03960639260.02914243170.0288950.04029905420.024653

0.0397914420.02942127810.029050.04029905420.02467

0.0399275870.02968579160.0292050.04029905420.024687

0.04002753510.02993202330.029360.04029905420.024704

0.04010079330.03015799890.0295150.04029905420.024721

0.04015442630.0303632160.029670.04029905420.024738

0.04019365780.03054817860.0298250.04029905420.024755

0.04022233720.03071401750.029980.04029905420.024772

0.04024329290.03086220640.0301350.04029905420.024789

0.04025860.03099436330.030290.04029905420.024806

0.04026977840.03111211970.0304450.04029905420.024823

0.04027794010.03121704140.03060.04029905420.02484

0.04028389850.03131058360.0307550.04029905420.024857

0.04028824810.03139407060.030910.04029905420.024874

0.04029142290.03146869030.0310650.04029905420.024891

0.04029374020.0315354970.031220.04029905420.024908

0.04029543140.03159542090.0313750.04029905420.024925

0.04029666580.03164927810.031530.04029905420.024942

0.04029756670.0316977830.0316850.04029905420.024959

0.04029822420.03174155980.031840.04029905420.024976

0.0402987040.03178115350.0319950.04029905420.024993

0.04029905420.03181703980.032150.04029905420.02501

CO2

CP met tradyc


CO2 apr. biliniowa

axial conti

lata



ceny jednostk

standardplusrnica %

26,9/ 90314.6398.220.9944751381

33,7/ 90336.6414.1518.7250996016

42,4/110418.55489.514.4943820225

48,3/110439.45503.812.7729257642

60,3/125548.35647.915.3650254669

76,1/140691.9782.111.5330520394

88,9/160845.351020.2517.1428571429

114,3/2001141.81278.7510.7096774194

139,7/2251358.51521.8510.7336465486

168,3/2501693.451922.2511.9027181688

219,1/3152456.32869.914.4116519739

273,0/4003142.153754.316.305303252314.4350464806

323,9/4503966.054606.813.9087870105

406,4/5205529.76136.359.8861701174

457,2/5606178.158334.725.8743566055

508,0/6307462.49968.7525.1420689655

rednia15.6188873273

male


0493.0506.5520.0

2537.0545.8556.7

4578.6582.9591.2

6617.7617.8623.8

8654.7650.8654.6

10689.6682.0683.6

12722.6711.4711.0

14753.6739.1736.9

16783.0765.3761.3

18810.7790.0784.3

20836.8813.3806.0

22861.4835.3826.5

24884.7856.1845.9

26906.6875.7864.1

28927.3894.1881.4

30946.9911.6897.6

male

standard/standard

plus/standard

plus/plus

czs eksploatacji



DN700


04355.04602.94978.0

24540.14755.15112.1

44714.84898.65238.7

64879.75034.15358.1

85035.25162.05470.8

105182.05282.75577.2

125320.55396.55677.5

145451.35504.05772.2

165574.65605.45861.6

185691.15701.05946.0

205800.95791.36025.6

225904.65876.56100.7

246002.45956.96171.5

266094.76032.86238.4

286181.96104.46301.6

306264.16172.06361.1

DN700

standard/standard

plus/standard

plus/plus

czs eksploatacji



starzenie pianki

interpolacja Iwko

pienienie CPCP

00.03130.02750.03070.0275

70.03260.02850.03310.0290

140.03330.03010.03450.0295

280.03670.03030.03620.0301

560.03920.03820.0309

580.03110.03830.0309

840.03920.03930.0313

1080.03110.03990.0317

1720.03290.04090.0323




a =0.0306649910.0274584370.0390513210.0092518694

b =23.82433915.4128684.1459964.3497019

c =0.043961030.0379617260.112936150.028801385

d =0.853115120.4974079818.335231

00.0306649910.0274584370.03110.0310

50.03255481950.02878433210.03210.0322

100.03372772990.02923770450.03300.0333

150.03461723450.02955589920.03400.0342

200.03533082030.02980643910.03500.0350

250.035922350.03001497680.03590.0357

300.03642389550.03019444540.03670.0363

350.03685639170.03035240740.03740.0369

400.03723433860.03049371720.03790.0373

450.03756821430.03062169970.03840.0377

500.03786583760.03073874310.03860.0381

550.03813319450.03084662710.03880.0383

600.03837496450.03094671730.03890.0386

650.03859486990.03104008650.03900.0388

700.0387959170.03112759450.03900.0390

750.03898056440.03120994190.03900.0392

800.03915084650.03128770780.03900.0393

850.0393084630.03136137660.03900.0394

900.03945484730.03143135850.03900.0396

950.03959121720.03149800340.03900.0396

1000.03971861550.0315616130.03900.0397

1050.03983794080.03162244890.03910.0398

1100.03994997220.03168073990.03910.0399

1150.04005538870.03173668710.03910.0399

1200.04015478530.03179046820.03910.0400

1250.0402486860.03184224140.03910.0400

1300.0403375540.03189214770.03910.0400

1350.04042180040.03194031380.03910.0401

1400.04050179180.03198685370.03910.0401

1450.0405778560.03203187040.03910.0401

1500.04065028710.03207545730.03910.0401

1550.04071934990.03211769950.03910.0401

1600.04078528340.03215867470.03910.0402

1650.04084830410.03219845380.03910.0402

1700.04090860840.03223710210.03910.0402

1750.04096637520.03227467950.03910.0402

gaz[W/mK]

c-pentan0.0130

0.0175

0.0270

0.0270

starzenie pianki

pienienie CO2

pienienie CP




starzenie interpol

pienienie CO2

pienienie CP












00.03090.03430.02720.02730.02450.02460.02740.00020.0300-0.00090.03100.03090.02750.02750-40.03430.02750.02450.0250

10.03290.02720.02450.02750.00030.0310-0.00190.03210.03300.02770.02755-90.03870.02850.02550.0250

20.03460.02730.02460.02770.00040.0320-0.00260.03330.03470.02780.027610-140.03980.02940.02670.0250

30.03600.02740.02470.02780.00050.0330-0.00300.03440.03600.02800.027715-190.04010.03020.02750.0250

40.03700.02750.02480.02800.00040.0340-0.00300.03560.03710.02810.027820-240.04010.03070.02800.0250

50.03780.03870.02770.02820.02500.02550.02810.00040.0350-0.00280.03670.03790.02830.028025-300.04010.03100.02830.0250

60.03840.02790.02520.02820.00030.0360-0.00240.03780.03850.02840.0283

70.03890.02820.02550.02840.00020.0370-0.00190.03900.03890.02860.0286

80.03920.02840.02570.02850.00010.0380-0.00120.04010.03930.02870.0289

90.03940.02870.02600.0287-0.00000.0390-0.00040.04010.03950.02890.0291

100.03960.03980.02890.02940.02620.02670.0288-0.00010.04000.00040.04010.03970.02910.0294

110.03980.02920.02650.0289-0.00020.04010.00030.04010.03980.02920.0297

120.03980.02940.02670.0291-0.00030.04010.00030.04010.03990.02940.0299

130.03990.02960.02690.0292-0.00040.04010.00020.04010.04000.02950.0302

140.04000.02980.02710.0294-0.00040.04010.00010.04010.04010.02970.0304

150.04000.04010.03000.03020.02730.02750.0295-0.00050.04010.00010.04010.04010.02980.0305

160.04000.03010.02740.0296-0.00050.04010.00010.04010.04010.03000.0307

170.04010.03020.02750.0298-0.00050.04010.00000.04010.04010.03010.0309

180.04010.03040.02770.0299-0.00040.04010.00000.04010.04020.03030.0310

190.04010.03050.02780.0301-0.00040.04010.00000.04010.04020.03040.0311

200.04010.04010.03060.03070.02790.02800.0302-0.00040.04010.00000.04010.04020.03060.0312

210.04010.03070.02800.0303-0.00030.04010.00000.04010.04020.03080.0313

220.04010.03070.02800.0305-0.00020.04010.00000.04010.04020.03090.0314

230.04010.03080.02810.0306-0.00020.0401-0.00000.04010.04020.03110.0315

240.04010.03090.02820.0308-0.00010.0401-0.00000.04010.04020.03120.0315

250.04010.04010.03090.03100.02820.02830.0309-0.00000.0401-0.00000.04010.04020.03140.0316

260.04010.03100.02830.03100.00010.0401-0.00000.04010.04020.03150.0316

270.04010.03100.02830.03120.00020.0401-0.00000.04010.04020.03170.0317

280.04010.03100.02830.03130.00030.0401-0.00000.04010.04020.03180.0317

290.04010.03110.02840.03150.00040.0401-0.00000.04010.04020.03200.0318

300.04010.03110.02840.03160.00050.0401-0.00000.04010.04020.03220.0318

rnicarnica


CO2

CO2 wielomian

CO2 liniowe

CP met tradyc

CP wielomian

CP liniowe

czas w latach

warto l50 w W/mK



CPliniow CP

00.03100.03100.02750.02750.0245

10.03310.03210.02750.02770.0245

20.03480.03330.02760.02780.0245

30.03610.03440.02770.02800.0246

40.03720.03560.02780.02810.0246

50.03800.03670.02800.02830.0246

60.03860.03780.02830.02840.0246

70.03900.03900.02860.02860.0246

80.03940.04010.02890.02870.0246

90.03960.04030.02910.02890.0247

100.03980.04030.02940.02910.0247

110.03990.04030.02970.02920.0247

120.04000.04030.02990.02940.0247

130.04010.04030.03020.02950.0247

140.04020.04030.03040.02970.0247

150.04020.04030.03050.02980.0248

160.04020.04030.03070.03000.0248

170.04020.04030.03090.03010.0248

180.04030.04030.03100.03030.0248

190.04030.04030.03110.03040.0248

200.04030.04030.03120.03060.0248

210.04030.04030.03130.03080.0249

220.04030.04030.03140.03090.0249

230.04030.04030.03150.03110.0249

240.04030.04030.03150.03120.0249

250.04030.04030.03160.03140.0249

260.04030.04030.03160.03150.0249

270.04030.04030.03170.03170.0250

280.04030.04030.03170.03180.0250

290.04030.04030.03180.03200.0250

300.04030.04030.03180.03220.0250

0000

1111

2222

3333

4444

5555

6666

7777

8888

9999

10101010

11111111

12121212

13131313

14141414

15151515

16161616

17171717

18181818

19191919

20202020

21212121

22222222

23232323

24242424

25252525

26262626

27272727

28282828

29292929

30303030

CO2

CP met tradyc


CO2 apr. biliniowa

axial conti

lata



Zmiana parametrw pracy sieci ciepowniczejAnaliza porwnawcza sieci cieplnej:Moc cieplna kotowni13 MW

dane bez wzw

rednica nominalnadugo sieci

wys. par.niski par.

parametry pracy32678.00.0

wysokiniski40153.0182.0

temperatura zasilania1300C800C50405.0737.0

temperatura powrotu800C600C65723.0583.0

temperatura gruntu80C80C80263.0460.0

cena energii 1 GJ$34$34100165.0324.0

koszty materiaw574.0766.0125180.0139.0

koszty wykonawstwa1044.21370.8150204.0180.0

koszty wzw200298.0124.0

koszty razem1618.22136.82500.0372.0

straty bez wzw

koszty cakowite inwestycji bez wzw w funkcji czasu eksploatacji

wysoki parametr 130/80niski parametr 80/60

stan-stanplus-stanplus-plus2p-2pTwinPipestan-stanplus-stanplus-plus2p-2pTwinPipe

01618.21694.91771.71919.41597.32136.82238.42340.02535.92111.8

11789.31847.51914.62042.91709.22256.72346.12439.62621.52189.7

21955.51995.72053.52163.01817.92373.22450.82536.32704.72265.3

32116.92139.62188.42279.61923.52486.42552.42630.32785.62338.8

42273.82279.42319.52392.92026.12596.32651.22721.62864.12410.2

52426.12415.32446.82502.92125.72703.22747.12810.32940.42479.6

62574.12547.22570.52609.82222.62806.92840.32896.53014.42547.0

72717.92675.42690.62713.62316.62907.72930.82980.13086.42612.4

82857.52799.92807.32814.52408.03005.63018.83061.53156.32676.0

92993.22920.92920.72912.52496.73100.73104.23140.43224.32737.7

103125.03038.43030.83007.72582.93193.13187.23217.23290.32797.7

113253.03152.53137.83100.22666.73282.93267.83291.73354.42856.0

123377.43263.43241.83190.02748.03370.03346.13364.13416.62912.7

133498.23371.13342.73277.32827.03454.73422.23434.43477.12967.7

143615.63475.83440.83362.12903.83537.03496.13502.73535.93021.1

153729.63577.43536.13444.42978.43616.93567.93569.13592.93073.0

163840.43676.23628.63524.43050.83694.63637.63633.63648.43123.4

173948.03772.13718.53602.13121.23770.03705.43696.23702.33172.4

184052.53865.33805.93677.63189.63843.33771.23757.13754.63220.0

194154.03955.83890.73750.93256.03914.53835.13816.23805.43266.2

204252.64043.83973.13822.23320.53983.63897.23873.63854.83311.1

wykres bez wzw

wykres bez wzw

1618.21719257092136.7886816511

1789.29780551472256.7216231982

1955.49040094582373.2279092725

2116.93463650742486.4054443161

2273.76617962442596.3493355013

2426.11682150962703.1519726527

2574.11458791222806.9031058855

2717.88384670342907.6899210258

2857.54541238633005.5971128765

2993.21664762113100.7069563886

3125.01156184913193.0993758003

3253.04090709933282.8520118003

3377.41227105653370.0402867717

3498.23016747223454.7374681725

3615.59612399023537.0147301047

3729.60876746493616.9412131245

3840.36390684023694.5840823438

3947.9546136623770.0085838711

4052.4713002893843.2780996405

4154.00179586943914.4542006736

4252.63142014753983.59669882

'wysoki parametr izol standard'

'niski parametr izol standard'

czas eksploatacji [lata]

koszty cakowite [ty z]

cakowite koszty inwestycji w funkcji czasu eksploatacji

dane z wzami

rednica nominalnadugo sieci

wys. par.niski par.

parametry pracy32678.00.0

wysokiniski40153.0182.0

temperatura zasilania1300C800C50405.0737.0

temperatura powrotu800C600C65723.0583.0

temperatura gruntu80C80C80263.0460.0

cena energii 1 GJ$34$34100165.0324.0

koszty materiaw574.0766.0125180.0139.0

koszty wykonawstwa1044.21370.8150204.0180.0

koszty wzw1295.0850.0200298.0124.0

koszty razem2913.22986.82500.0372.0

straty z wzami

koszty cakowite inwestycji bez wzw w funkcji czasu eksploatacji

wysoki parametr 130/80niski parametr 80/60

stan-stanplus-stanplus-plus2p-2pTwinPipestan-stanplus-stanplus-plus2p-2pTwinPipe

02913.22989.93066.73214.42892.32986.83088.43190.03385.92961.8

13084.33142.53209.63337.93004.23106.73196.13289.63471.53039.7

23250.53290.73348.53458.03112.93223.23300.83386.33554.73115.3

33411.93434.63483.43574.63218.53336.43402.43480.33635.63188.8

43568.83574.43614.53687.93321.13446.33501.23571.63714.13260.2

53721.13710.33741.83797.93420.73553.23597.13660.33790.43329.6

63869.13842.23865.53904.83517.63656.93690.33746.53864.43397.0

74012.93970.43985.64008.63611.63757.73780.83830.13936.43462.4

84152.54094.94102.34109.53703.03855.63868.83911.54006.33526.0

94288.24215.94215.74207.53791.73950.73954.23990.44074.33587.7

104420.04333.44325.84302.73877.94043.14037.24067.24140.33647.7

114548.04447.54432.84395.23961.74132.94117.84141.74204.43706.0

124672.44558.44536.84485.04043.04220.04196.14214.14266.63762.7

134793.24666.14637.74572.34122.04304.74272.24284.44327.13817.7

144910.64770.84735.84657.14198.84387.04346.14352.74385.93871.1

155024.64872.44831.14739.44273.44466.94417.94419.14442.93923.0

165135.44971.24923.64819.44345.84544.64487.64483.64498.43973.4

175243.05067.15013.54897.14416.24620.04555.44546.24552.34022.4

185347.55160.35100.94972.64484.64693.34621.24607.14604.64070.0

195449.05250.85185.75045.94551.04764.54685.14666.24655.44116.2

205547.65338.85268.15117.24615.54833.64747.24723.64704.84161.1

wykres z wzami

wykres z wzami

2913.21719257092986.7886816511

3084.29780551473106.7216231982

3250.49040094583223.2279092725

3411.93463650743336.4054443161

3568.76617962443446.3493355013

3721.11682150963553.1519726527

3869.11458791223656.9031058855

4012.88384670343757.6899210258

4152.54541238633855.5971128765

4288.21664762113950.7069563886

4420.01156184914043.0993758003

4548.04090709934132.8520118003

4672.41227105654220.0402867717

4793.23016747224304.7374681725

4910.59612399024387.0147301047

5024.60876746494466.9412131245

5135.36390684024544.5840823438

5242.9546136624620.0085838711

5347.4713002894693.2780996405

5449.00179586944764.4542006736

5547.63142014754833.59669882

'wysoki parametr izol standard'

'niski parametr izol standard'

czas eksploatacji [lata]

koszty cakowite [t

Sposoby ograniczania strat ciepła w sieciach ciepłowniczych

Documents

Transcript of Sposoby ograniczania strat ciepła w sieciach ciepłowniczych