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0 |
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Rurociągi |
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Rurociąg nieizolowany |
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Chłodnica 1 |
Chłodnica 2 |
Chłodnica 3 |
Chłodnica 4 |
Chłodnica 5 |
Chłodnica 6 |
Chłodnica 7 |
Suma |
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Zdolność chłodnicza MK Q [kW] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Lepkość kinematyczna wody υ [m^2/s] |
6,6E-07 |
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Procent całkowitej mocy chłodniczej |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Przewodność cieplna wody λw [W/mK] |
0,612 |
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Maksymalna prędkość wody wmax [m/s] |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
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Ciepło właściwe wody przy stałym ciśnieniu Cpw [kJ/kgK] |
4,19 |
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Gęstość wody ρw [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
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Gęstość wody ρ [kg/m^3] |
1000 |
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Strumień masy wody przypadającej na jedną chłodnicę powietrza mi [kg/s] |
1,18801701247398 |
1,98002803983314 |
2,2817465982839 |
2,51599160051719 |
3,26595063528674 |
3,60464181227943 |
0,358068741325619 |
15,19444444 |
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Stal |
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Strumień objętości wody przypadającej na jedną chłodnicę powietrza V [m^3/s] |
0,001188017012474 |
0,001980028039833 |
0,002281746598284 |
0,002515991600517 |
0,003265950635287 |
0,003604641812279 |
0,000358068741326 |
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Przewodność cieplna stali+A360 λ1 [W/mK] |
45 |
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Średnica wewnętrzna rurociągu płynącego do chłodnicy dwmin [m] |
0,027501183975422 |
0,035503873028164 |
0,038113055505955 |
0,04002161915765 |
0,045597902912305 |
0,047903927292029 |
0,015098133679189 |
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Lepkość kinematyczna powietrza υ [m^2/s] |
1,69E-05 |
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Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,057 |
0,057 |
0,057 |
0,0635 |
0,0635 |
0,0635 |
0,03 |
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Przewodność cieplna powietrza λp [W/mK] |
0,0254 |
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Grubość ścianki rurociągu s [m] |
0,004 |
0,004 |
0,004 |
0,004 |
0,004 |
0,004 |
0,0045 |
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Ciepło właściwe powietrza przy stałym ciśnieniu Cp [kJ/kgK] |
1 |
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Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,049 |
0,049 |
0,049 |
0,0555 |
0,0555 |
0,0555 |
0,021 |
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Prędkość wody w rurociągu w [m/s] |
0,6300001 |
1,05 |
1,21 |
1,04 |
1,35 |
1,49 |
1,03380335870595 |
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Rurociągi z zimną wodą po kolejnych odpływach wody do chłodnic (magistrala) |
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Ilość wody chłodnej przepływającej obok chłodnicy mi [kg/s] |
14,8363756986744 |
13,6483586862004 |
11,6683306463673 |
9,38658404808336 |
6,87059244756617 |
3,60464181227944 |
0,358068741325619 |
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Ilość wody chłodnej przepływającej obok chłodnicy V [m^3/s] |
0,014836375698674 |
0,0136483586862 |
0,011668330646367 |
0,009386584048083 |
0,006870592447566 |
0,003604641812279 |
0,000358068741326 |
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Średnica wewnętrzna rurociągu płynącego obok chłodnicy dwmin [m] |
0,097186059288614 |
0,09321381335403 |
0,086187528100068 |
0,077302554938372 |
0,066135882847362 |
0,047903927292029 |
0,015098133679189 |
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Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
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Grubość ścianki rurociągu s [m] |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,004 |
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Chłodnice |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
SUMA |
Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,0603 |
0,0337 |
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Zdolność chłodnicza MK Q [kW] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
Prędkość wody w rurociągu w [m/s] |
1,73647815460602 |
1,59743034189488 |
1,36568402416144 |
1,09862398182101 |
0,804147450611252 |
1,81399574718686 |
0,690256144967106 |
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Zdolność chłodnicza obliczona Qo [kW] |
74,1303541725643 |
119,693467455449 |
132,823510312594 |
139,420170469789 |
177,099528496275 |
191,198918664713 |
12,2754347480006 |
846,641384319385 |
Długość tego rurociągu przed chłodnicą L [m] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Temperatura wody na wlocie do kolejnego węzła przy chł. i twk [°C] |
3,10778175118287 |
3,57269925549083 |
4,10708050717657 |
4,77479539866756 |
5,05822736105366 |
5,34071163376238 |
9,81805700295725 |
|
Temperatura wody na wlocie do rurociągu tw [°C] |
#REF! |
3,10778175118287 |
3,57269925549083 |
4,10708050717657 |
4,77479539866756 |
5,05822736105366 |
3 |
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Liczba Pradntla Pr |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
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Liczba Reynoldsa Re |
274416,16897789 |
252442,400999448 |
215819,460181876 |
173615,880763532 |
127079,665301142 |
138248,463762877 |
26878,1559479615 |
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Liczba Nusselta Nu |
848,413852056904 |
793,614939628602 |
700,087743615916 |
588,235934361877 |
458,290487463442 |
490,239436322847 |
132,251183915289 |
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Współczynnik wnikania ciepła αw |
4978,22893057359 |
4656,68593530877 |
4107,89740261688 |
3451,58573182616 |
2689,10621598875 |
5964,74224710899 |
3149,3278037415 |
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Średnia temperatura powietrza ts [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Gęstość powietrza ρ [kg/m^3] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Średnica wyrobiska d [m] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Prędkość powietrza w [m/s] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Liczba Pradntla Pr |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Liczba Reynoldsa Re |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Liczba Nusselta Nu |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Współczynnik wnikania ciepła αw |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Przewodność cieplna stali λ1 [W/mK] |
45 |
45 |
45 |
45 |
45 |
45 |
45 |
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Opór cieplny przenikania 1 mb kl [mK/W] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Q-> kl*L*(dtp-dtk)/ln(dtp/dtk) Q [W] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Q-> m*cw*(tw-tz) Q [W] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Różnica temp. Woda - powietrze dopływ Δtp [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Różnica temp. Woda - powietrze wypływ Δtp [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Temperatura wody na wlocie do kolejnego węzła przy chł. twk [°C] |
3,10778175118287 |
3,57269925549083 |
4,10708050717657 |
4,77479539866756 |
5,05822736105366 |
5,34071163376238 |
9,81805700295725 |
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Rurociąg izolowany |
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Ilość wody chłodnej przepływającej obok chłodnicy mi [kg/s] |
14,8363756986744 |
13,6483586862004 |
11,6683306463673 |
9,38658404808336 |
6,87059244756617 |
3,60464181227944 |
0,358068741325619 |
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Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
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Grubość ścianki rurociągu s [m] |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,004 |
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Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,0603 |
0,0337 |
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Długość tego rurociągu przed chłodnicą L [m] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Temperatura wody na wlocie do rurociągu tw [°C] |
#REF! |
3,00962810145286 |
3,05166461964314 |
3,10098480048211 |
3,1639163873226 |
3,19129548175791 |
3 |
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Współczynnik wnikania ciepła αw |
4978,22893057359 |
4656,68593530877 |
4107,89740261688 |
3451,58573182616 |
2689,10621598875 |
5964,74224710899 |
3149,3278037415 |
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Średnia temperatura powietrza - warunki 1 ts [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Współczynnik wnikania ciepła αd |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Przewodność cieplna stali λ1 [W/mK] |
45 |
45 |
45 |
45 |
45 |
45 |
45 |
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Przewodność cieplna izolatora λ2 [W/mK] |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
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Grubość izolacji si [m] |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
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Średnica zewnętrzna rury i izolacji dz [m] |
0,2543 |
0,2543 |
0,2543 |
0,2543 |
0,2543 |
0,2003 |
0,1737 |
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Opór cieplny przenikania 1 mb kl [mK/W] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Q-> kl*L*(dtp-dtk)/ln(dtp/dtk) Q [W] |
598,525286458293 |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Q-> m*cw*(tw-tz) Q [W] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Różnica temp. Woda - powietrze dopływ Δtp [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Różnica temp. Woda - powietrze wypływ Δtp [°C] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Temperatura wody na wlocie do kolejnego węzła przy chł. twk [°C] |
3,00962810145286 |
3,05166461964314 |
3,10098480048211 |
3,1639163873226 |
3,19129548175791 |
3,22637842990708 |
3,91643774516518 |
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Obliczenia oporów |
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Średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
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Długość rurociągu L [m] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Chropowatość rurociągu ε [m] |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
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Gęstość wody chłodzonej ρ [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
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Prędkość medium w rurociągu w [m/s] |
1,73647815460602 |
1,59743034189488 |
1,36568402416144 |
1,09862398182101 |
0,804147450611252 |
1,81399574718686 |
0,690256144967106 |
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Lepkość kinematyczna wody υ [m^2/s] |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
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Liczba Reynoldsa Re |
274416,16897789 |
252442,400999448 |
215819,460181876 |
173615,880763532 |
127079,665301142 |
138248,463762877 |
26878,1559479615 |
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Równanie na współczynnik oporu liniowego |
8,96867361710463E-07 |
8,96867361710463E-07 |
8,96867361710463E-07 |
8,96867361710463E-07 |
8,96867361710463E-07 |
3,30668825654357E-11 |
-2,18141996910504E-06 |
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Współczynnik oporu liniowego λ |
0,016527 |
0,016527 |
0,016527 |
0,016527 |
0,016527 |
0,019587170865198 |
0,023224 |
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Strata ciśnienia na oporach liniowych Δpl [Pa] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Liczba zakrętów rurociągu |
1 |
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1 |
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1 |
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Promień krzywizny R [m] |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
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Kąt zagięcia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
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Współczynnik oporu lokalnego (zagięcia rurociągu) ζ |
0,06582958481408 |
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0,06582958481408 |
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0,065502447586478 |
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pole powierzchni A [m^2] |
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0,232577315417857 |
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opór zmniejszaj. Rurociągu |
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0,415650364203954 |
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Kąt nachylenia odgałęzienia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
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Stosunek wydatku magistrali do wydatku wody w chłodnicy Qa/Q |
0,080074610983337 |
0,145074443407991 |
0,195550389120511 |
0,268041237113402 |
0,475352112676056 |
1 |
1 |
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Współczynnik oporu lokalnego na trójniku rozdzielczym ζd |
-0,025 |
-0,04 |
-0,08 |
-0,07 |
0,01 |
0,35 |
0,35 |
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Współczynnik oporu lokalnego na trójniku zbiorczym ζd |
0,11 |
0,15 |
0,18 |
0,22 |
0,34 |
0,6 |
0,6 |
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Strata ciśnienia na oporach lokalnych Δpm [Pa] |
227,402475538328 |
140,348103346351 |
93,2546426924894 |
130,2504191657 |
113,164296406801 |
2246,89127748594 |
241,919870891956 |
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Całkowita strata ciśnienia w danej części magistrali Δpc [Pa] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Średnica wewnętrzna rurociągu dw [m] |
0,049 |
0,049 |
0,049 |
0,0555 |
0,0555 |
0,0555 |
0,021 |
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Gestość medium ρ [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
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Prędkość medium w [m/s] |
0,6300001 |
1,05 |
1,21 |
1,04 |
1,35 |
1,49 |
1,03380335870595 |
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Kąt nachylenia odgałęzienia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
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Stosunek wydatku magistrali do wydatku wody w chłodnicy Qa/Q |
0,080074610983337 |
0,145074443407991 |
0,195550389120511 |
0,268041237113402 |
0,475352112676056 |
1 |
1 |
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Współczynnik oporu lokalnego na trójniku rozdzielczym ζa |
0,89 |
0,885 |
0,88 |
0,885 |
0,925 |
1,28 |
1,28 |
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Współczynnik oporu lokalnego na trójniku zbiorczym ζa |
-0,9 |
-0,7 |
-0,4 |
-0,2 |
0,285 |
0,92 |
0,92 |
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Promień krzywizny R [m] |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
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Kąt zagięcia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
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Współczynnik oporu lokalnego (zagięcia rurociągu) ζ |
0,065523423856219 |
0,065523423856219 |
0,065523423856219 |
0,065536224095857 |
0,065536224095857 |
0,065536224095857 |
0,065501207089981 |
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Strata ciśnienia od oporów lokalnych Δpm [Pa] |
24,0217545544852 |
174,220824801481 |
447,31684486789 |
441,331979982079 |
1222,0522684147 |
2587,60697111521 |
1245,62869767844 |
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Strata ciśnienia na roboczych elementach chłodnicy Δpch [Pa] |
10000 |
10000 |
10000 |
10000 |
10000 |
10000 |
10000 |
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Strata ciśnienia na odcinku trójnik chłodnica trójnik Δpc [Pa] |
10024,0217545545 |
10174,2208248015 |
10447,3168448679 |
10441,3319799821 |
11222,0522684147 |
12587,6069711152 |
11245,6286976784 |
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Strata ciśnienia po drodze Mk-chłodnica-MK Δpc [Pa] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Strata ciśnień na zaworze dławiącym Δpz [Pa] |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
#REF! |
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Spręż pompy Δpc [Pa] |
#REF! |
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Wydatek pompy m [kg/s] |
15,19444444 |
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Całkowita strata ciśnień w danej magistrali Δpc [bar] |
#REF! |
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BILANS CIEPLNY DLA REJONU WYDOBYWCZEGO |
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PARAMETRY |
Wyrobisko nr 4 |
Wyrobisko nr 5 |
wyrobisko nr 6 |
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Przed klimatyzacją |
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Temperatura sucha na dopływie |
Ts |
oC |
#REF! |
#REF! |
#REF! |
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Temperatura wilgotna na dopływie |
Tw |
oC |
#REF! |
#REF! |
#REF! |
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Stopień zwilżenia na dopływie |
xd |
kg/kg |
#REF! |
#REF! |
#REF! |
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Ciśnienie statyczne bezwzględne powietrza na dopływie |
pd |
Pa |
#REF! |
#REF! |
#REF! |
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Entalpia na dopływie |
hd |
kJ/kg |
#REF! |
#REF! |
#REF! |
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Temperatura sucha na wypływie |
Ts |
oC |
#REF! |
#REF! |
#REF! |
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Temperatura wilgotna na wypływie |
Tw |
oC |
#REF! |
#REF! |
#REF! |
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Stopień zwilżenia na wypływie |
xw |
kg/kg |
#REF! |
#REF! |
#REF! |
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Ciśnienie statyczne bezwzględne powietrza na wypływie |
pw |
Pa |
#REF! |
#REF! |
#REF! |
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Entalpia na wypływie |
hw |
kJ/kg |
#REF! |
#REF! |
#REF! |
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Różnica entalpii |
Δh |
[kJ/kg] |
#REF! |
#REF! |
#REF! |
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Strumień masy powietrza suchego |
ma |
kg/s |
#REF! |
#REF! |
#REF! |
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Cieplo |
Q |
W |
#REF! |
#REF! |
#REF! |
#REF! |
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Po klimatyzacji |
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Temperatura sucha na dopływie |
Ts |
oC |
#REF! |
#REF! |
#REF! |
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Temperatura wilgotna na dopływie |
Tw |
oC |
#REF! |
#REF! |
#REF! |
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Stopień zwilżenia na dopływie |
xd |
kg/kg |
#REF! |
#REF! |
#REF! |
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Ciśnienie statyczne bezwzględne powietrza na dopływie |
pd |
Pa |
#REF! |
#REF! |
#REF! |
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Entalpia na dopływie |
hd |
kJ/kg |
#REF! |
#REF! |
#REF! |
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|
Temperatura sucha na wypływie |
Ts |
oC |
#REF! |
#REF! |
#REF! |
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Temperatura wilgotna na wypływie |
Tw |
oC |
#REF! |
#REF! |
#REF! |
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Stopień zwilżenia na wypływie |
xw |
kg/kg |
#REF! |
#REF! |
#REF! |
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Ciśnienie statyczne bezwzględne powietrza na wypływie |
pw |
Pa |
#REF! |
#REF! |
#REF! |
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Entalpia na wypływie |
hw |
kJ/kg |
#REF! |
#REF! |
#REF! |
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Różnica entalpii |
Δh |
[kJ/kg] |
#REF! |
#REF! |
#REF! |
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Strumień masy powietrza suchego |
ma |
kg/s |
#REF! |
#REF! |
#REF! |
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Cieplo |
Q |
W |
#REF! |
#REF! |
#REF! |
#REF! |
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Całkowita ilość ciepła |
Q |
W |
#REF! |
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Cieplo przekazywane przez maszyny |
#REF! |
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Całkowite ciepło przed klimatyzacja |
#REF! |
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Cieplo przekazywane przez skaly |
#REF! |
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Ciepło przekazywane przez maszyny |
#REF! |
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Całkowite ciepło po klimatyzacji |
#REF! |
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Cieplo przekazywane przez skały |
#REF! |
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0 |
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Rurociągi |
|
Rurociąg nieizolowany |
|
|
Chłodnica 1 |
Chłodnica 2 |
Chłodnica 3 |
Chłodnica 4 |
Chłodnica 5 |
Chłodnica 6 |
Chłodnica 7 |
Suma |
|
|
|
Zdolność chłodnicza MK Q [kW] |
73,5578544909315 |
118,625239317595 |
131,856040346774 |
138,188562075779 |
175,34270905632 |
186,221368449114 |
6,37774410778611 |
830,169517844299 |
|
Lepkość kinematyczna wody υ [m^2/s] |
6,6E-07 |
Procent całkowitej mocy chłodniczej |
8,86058243645697 |
14,2892790891226 |
15,8830259980111 |
16,6458246304457 |
21,1213138145125 |
22,4317280322066 |
0,768245999244492 |
100 |
|
Przewodność cieplna wody λw [W/mK] |
0,612 |
Maksymalna prędkość wody wmax [m/s] |
2 |
2 |
2 |
2 |
2 |
2 |
2 |
|
|
Ciepło właściwe wody przy stałym ciśnieniu Cpw [kJ/kgK] |
4,19 |
Gęstość wody ρw [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
|
|
Gęstość wody ρ [kg/m^3] |
1000 |
Strumień masy wody przypadającej na jedną chłodnicę powietrza mi [kg/s] |
1,18801701247398 |
1,98002803983314 |
2,2817465982839 |
2,51599160051719 |
3,26595063528674 |
3,60464181227943 |
0,358068741325619 |
15,19444444 |
|
Stal |
Strumień objętości wody przypadającej na jedną chłodnicę powietrza V [m^3/s] |
0,001188017012474 |
0,001980028039833 |
0,002281746598284 |
0,002515991600517 |
0,003265950635287 |
0,003604641812279 |
0,000358068741326 |
|
|
Przewodność cieplna stali+A360 λ1 [W/mK] |
45 |
Średnica wewnętrzna rurociągu płynącego do chłodnicy dwmin [m] |
0,027501183975422 |
0,035503873028164 |
0,038113055505955 |
0,04002161915765 |
0,045597902912305 |
0,047903927292029 |
0,015098133679189 |
|
|
Lepkość kinematyczna powietrza υ [m^2/s] |
1,69E-05 |
Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,057 |
0,057 |
0,057 |
0,0635 |
0,0635 |
0,0635 |
0,03 |
|
|
Przewodność cieplna powietrza λp [W/mK] |
0,0254 |
Grubość ścianki rurociągu s [m] |
0,004 |
0,004 |
0,004 |
0,004 |
0,004 |
0,004 |
0,0045 |
|
|
Ciepło właściwe powietrza przy stałym ciśnieniu Cp [kJ/kgK] |
1 |
Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,049 |
0,049 |
0,049 |
0,0555 |
0,0555 |
0,0555 |
0,021 |
|
|
|
|
Prędkość wody w rurociągu w [m/s] |
0,6300001 |
1,05 |
1,21 |
1,04 |
1,35 |
1,49 |
1,03380335870595 |
|
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|
Rurociągi z zimną wodą po kolejnych odpływach wody do chłodnic (magistrala) |
|
Ilość wody chłodnej przepływającej obok chłodnicy mi [kg/s] |
14,8363756986744 |
13,6483586862004 |
11,6683306463673 |
9,38658404808336 |
6,87059244756617 |
3,60464181227944 |
0,358068741325619 |
|
|
|
|
Ilość wody chłodnej przepływającej obok chłodnicy V [m^3/s] |
0,014836375698674 |
0,0136483586862 |
0,011668330646367 |
0,009386584048083 |
0,006870592447566 |
0,003604641812279 |
0,000358068741326 |
|
|
|
|
Średnica wewnętrzna rurociągu płynącego obok chłodnicy dwmin [m] |
0,097186059288614 |
0,09321381335403 |
0,086187528100068 |
0,077302554938372 |
0,066135882847362 |
0,047903927292029 |
0,015098133679189 |
|
|
|
|
Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
|
|
|
|
Grubość ścianki rurociągu s [m] |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,004 |
|
|
Chłodnice |
1 |
Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,0603 |
0,0337 |
|
|
Zdolność chłodnicza MK Q [kW] |
73,5578544909315 |
Prędkość wody w rurociągu w [m/s] |
1,73647815460602 |
1,59743034189488 |
1,36568402416144 |
1,09862398182101 |
0,804147450611252 |
1,81399574718686 |
0,690256144967106 |
|
|
Zdolność chłodnicza obliczona Qo [kW] |
74,1303541725643 |
Długość tego rurociągu przed chłodnicą L [m] |
67,6605585496202 |
292,90239972025 |
294,386338798602 |
281,448659168396 |
96,6563059892187 |
97,0750426491648 |
335,148391437662 |
|
|
Temperatura wody na wlocie do kolejnego węzła przy chł. i twk [°C] |
3,10778175118287 |
Temperatura wody na wlocie do rurociągu tw [°C] |
3 |
3,10778175118287 |
3,57269925549083 |
4,10708050717657 |
4,77479539866756 |
5,05822736105366 |
3 |
|
|
|
|
Liczba Pradntla Pr |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
4,51862745098039 |
|
|
|
|
Liczba Reynoldsa Re |
274416,16897789 |
252442,400999448 |
215819,460181876 |
173615,880763532 |
127079,665301142 |
138248,463762877 |
26878,1559479615 |
|
|
|
|
Liczba Nusselta Nu |
848,413852056905 |
793,614939628602 |
700,087743615915 |
588,235934361877 |
458,290487463442 |
490,239436322847 |
132,251183915288 |
|
|
|
|
Współczynnik wnikania ciepła αw |
4978,22893057359 |
4656,68593530877 |
4107,89740261688 |
3451,58573182616 |
2689,10621598875 |
5964,74224710899 |
3149,3278037415 |
|
|
|
|
Średnia temperatura powietrza ts [°C] |
27,8959916441215 |
26,1250000000218 |
26,1250000101716 |
27,8791314044988 |
26,125000000207 |
26,1250000010272 |
26,7126991481128 |
|
|
|
|
Gęstość powietrza ρ [kg/m^3] |
1,25628238216059 |
1,25433029518425 |
1,25338827512294 |
1,25281134075726 |
1,25318663803352 |
1,25141575207071 |
1,2484397935215 |
|
|
|
|
Średnica wyrobiska d [m] |
3,19153824321146 |
3,19153824321146 |
3,19153824321146 |
3,19153824321146 |
3,19153824321146 |
3,19153824321146 |
2,76395319577068 |
|
|
|
|
Prędkość powietrza w [m/s] |
1,3 |
1,3 |
1,3 |
1,3 |
1,3 |
1,3 |
1,73333333333333 |
|
|
|
|
Liczba Pradntla Pr |
0,835872923563544 |
0,834574094039916 |
0,833947316912506 |
0,833563451133769 |
0,833813156801831 |
0,832634890157287 |
0,830654823248559 |
|
|
|
|
Liczba Reynoldsa Re |
245502,941785497 |
245502,941785497 |
245502,941785497 |
245502,941785497 |
245502,941785497 |
245502,941785497 |
283482,379053404 |
|
|
|
|
Liczba Nusselta Nu |
444,712648027077 |
444,484492222798 |
444,374305798668 |
444,306795404908 |
444,350713455411 |
444,143403401003 |
497,917609751554 |
|
|
|
|
Współczynnik wnikania ciepła αw |
3,53926551997746 |
3,53744973179412 |
3,53657280820442 |
3,53603552371311 |
3,53638504748433 |
3,53473516113465 |
4,57573134995256 |
|
|
|
|
Przewodność cieplna stali λ1 [W/mK] |
45 |
45 |
45 |
45 |
45 |
45 |
45 |
|
|
|
|
Opór cieplny przenikania 1 mb kl [mK/W] |
3,98624386954786 |
3,98398815659442 |
3,98256009255085 |
3,98124326104794 |
3,98037128386236 |
2,10035614120236 |
1,51761348253408 |
|
|
|
|
Q-> kl*L*(dtp-dtk)/ln(dtp/dtk) Q [W] |
6700,18942130239 |
26587,0619962276 |
26126,0625993742 |
26261,0845668839 |
8159,37764570733 |
4266,48686080522 |
10229,1856443146 |
|
|
|
|
Q-> m*cw*(tw-tz) Q [W] |
8,18545231595635E-12 |
-5,0931703299284E-11 |
-6,18456397205591E-11 |
0 |
-6,54836185276508E-11 |
-4,00177668780088E-11 |
0 |
|
|
|
|
Różnica temp. Woda - powietrze dopływ Δtp [°C] |
24,8959916441215 |
23,017218248839 |
22,5523007546807 |
23,7720508973223 |
21,3502046015394 |
21,0667726399736 |
23,7126991481128 |
|
|
|
|
Różnica temp. Woda - powietrze wypływ Δtp [°C] |
24,7882098929387 |
22,552300744531 |
22,017919502995 |
23,1043360058313 |
21,0667726391533 |
20,7842883672648 |
16,8946421451555 |
|
|
|
|
Temperatura wody na wlocie do kolejnego węzła przy chł. twk [°C] |
3,10778175118287 |
3,57269925549083 |
4,10708050717657 |
4,77479539866756 |
5,05822736105366 |
5,34071163376238 |
9,81805700295725 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Rurociąg izolowany |
|
|
|
|
Ilość wody chłodnej przepływającej obok chłodnicy mi [kg/s] |
14,8363756986744 |
13,6483586862004 |
11,6683306463673 |
9,38658404808336 |
6,87059244756617 |
3,60464181227944 |
0,358068741325619 |
|
|
|
|
Przyjęta średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
|
|
|
|
Grubość ścianki rurociągu s [m] |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,005 |
0,004 |
|
|
|
|
Przyjęta średnica zewnętrzna rurociągu dz [m] |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,1143 |
0,0603 |
0,0337 |
|
|
|
|
Długość tego rurociągu przed chłodnicą L [m] |
67,6605585496202 |
292,90239972025 |
294,386338798602 |
281,448659168396 |
96,6563059892187 |
97,0750426491648 |
335,148391437662 |
|
|
|
|
Temperatura wody na wlocie do rurociągu tw [°C] |
3 |
3,00962810145286 |
3,05166461964314 |
3,10098480048211 |
3,1639163873226 |
3,19129548175791 |
3 |
|
|
|
|
Współczynnik wnikania ciepła αw |
4978,22893057359 |
4656,68593530877 |
4107,89740261688 |
3451,58573182616 |
2689,10621598875 |
5964,74224710899 |
3149,3278037415 |
|
|
|
|
Średnia temperatura powietrza - warunki 1 ts [°C] |
27,8959916441215 |
26,1250000000218 |
26,1250000101716 |
27,8791314044988 |
26,125000000207 |
26,1250000010272 |
26,7126991481128 |
|
|
|
|
Współczynnik wnikania ciepła αd |
3,53926551997746 |
3,53744973179412 |
3,53657280820442 |
3,53603552371311 |
3,53638504748433 |
3,53473516113465 |
4,57573134995256 |
|
|
|
|
Przewodność cieplna stali λ1 [W/mK] |
45 |
45 |
45 |
45 |
45 |
45 |
45 |
|
|
|
|
Przewodność cieplna izolatora λ2 [W/mK] |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
0,03 |
|
|
|
|
Grubość izolacji si [m] |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
0,07 |
|
|
|
|
Średnica zewnętrzna rury i izolacji dz [m] |
0,2543 |
0,2543 |
0,2543 |
0,2543 |
0,2543 |
0,2003 |
0,1737 |
|
|
|
|
Opór cieplny przenikania 1 mb kl [mK/W] |
0,3553886584222 |
0,355379658525032 |
0,355372611750756 |
0,355364771278189 |
0,35535610005949 |
0,23818960919027 |
0,176439509111112 |
|
|
|
|
Q-> kl*L*(dtp-dtk)/ln(dtp/dtk) Q [W] |
598,525286458293 |
2403,92651357395 |
2411,27870400844 |
2475,08591616991 |
788,18341168915 |
529,873524927509 |
1374,93890454211 |
|
|
|
|
Q-> m*cw*(tw-tz) Q [W] |
-9,47011358221062E-11 |
-7,41238181944937E-11 |
5,72981662116945E-11 |
9,00399754755199E-11 |
-2,31921148952097E-11 |
-3,97903932025656E-12 |
0 |
|
|
|
|
Różnica temp. Woda - powietrze dopływ Δtp [°C] |
24,8959916441215 |
23,115371898569 |
23,0733353905284 |
24,7781466040167 |
22,9610836128844 |
22,9337045192693 |
23,7126991481128 |
|
|
|
|
Różnica temp. Woda - powietrze wypływ Δtp [°C] |
24,8863635426687 |
23,0733353803787 |
23,0240152096895 |
24,7152150171762 |
22,9337045184491 |
22,8986215711201 |
22,7962614029476 |
|
|
|
|
Temperatura wody na wlocie do kolejnego węzła przy chł. twk [°C] |
3,00962810145286 |
3,05166461964314 |
3,10098480048211 |
3,1639163873226 |
3,19129548175791 |
3,22637842990708 |
3,91643774516518 |
|
|
|
|
|
|
Obliczenia oporów |
|
|
|
|
Średnica wewnętrzna rurociągu dw [m] |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,1043 |
0,0503 |
0,0257 |
|
|
|
|
Długość rurociągu L [m] |
67,6605585496202 |
292,90239972025 |
294,386338798602 |
281,448659168396 |
96,6563059892187 |
97,0750426491648 |
335,148391437662 |
|
|
|
|
Chropowatość rurociągu ε [m] |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
5E-05 |
|
|
|
|
Gęstość wody chłodzonej ρ [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
|
|
|
|
Prędkość medium w rurociągu w [m/s] |
1,73647815460602 |
1,59743034189488 |
1,36568402416144 |
1,09862398182101 |
0,804147450611252 |
1,81399574718686 |
0,690256144967106 |
|
|
|
|
Lepkość kinematyczna wody υ [m^2/s] |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
6,6E-07 |
|
|
|
|
Liczba Reynoldsa Re |
274416,16897789 |
252442,400999448 |
215819,460181876 |
173615,880763532 |
127079,665301142 |
138248,463762877 |
26878,1559479615 |
|
|
|
|
Równanie na współczynnik oporu liniowego |
8,96867362598641E-07 |
8,96867362598641E-07 |
8,96867362598641E-07 |
8,96867362598641E-07 |
8,96867362598641E-07 |
3,30668825654357E-11 |
-2,18141996821686E-06 |
|
|
|
|
Współczynnik oporu liniowego λ |
0,016527 |
0,016527 |
0,016527 |
0,016527 |
0,016527 |
0,019587170865198 |
0,023224 |
|
|
|
|
Strata ciśnienia na oporach liniowych Δpl [Pa] |
16164,1901208453 |
59217,0149388709 |
43500,8590543777 |
26913,9261860568 |
4952,00751558187 |
62194,7677249093 |
72149,2143578015 |
|
|
|
|
Liczba zakrętów rurociągu |
1 |
|
|
1 |
|
|
1 |
|
|
|
|
Promień krzywizny R [m] |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
|
|
|
|
Kąt zagięcia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
|
|
|
|
Współczynnik oporu lokalnego (zagięcia rurociągu) ζ |
0,06582958481408 |
|
|
0,06582958481408 |
|
|
0,065502447586478 |
|
|
|
|
pole powierzchni A [m^2] |
|
|
|
|
|
0,232577315417857 |
|
|
|
|
|
opór zmniejszaj. Rurociągu |
|
|
|
|
|
0,415650364203954 |
|
|
|
|
|
Kąt nachylenia odgałęzienia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
|
|
|
|
Stosunek wydatku magistrali do wydatku wody w chłodnicy Qa/Q |
0,080074610983337 |
0,145074443407991 |
0,195550389120511 |
0,268041237113402 |
0,475352112676056 |
1 |
1 |
|
|
|
|
Współczynnik oporu lokalnego na trójniku rozdzielczym ζd |
-0,025 |
-0,04 |
-0,08 |
-0,07 |
0,01 |
0,35 |
0,35 |
|
|
|
|
Współczynnik oporu lokalnego na trójniku zbiorczym ζd |
0,11 |
0,15 |
0,18 |
0,22 |
0,34 |
0,6 |
0,6 |
|
|
|
|
Strata ciśnienia na oporach lokalnych Δpm [Pa] |
227,402475538328 |
140,348103346351 |
93,2546426924894 |
130,2504191657 |
113,164296406801 |
2246,89127748594 |
241,919870891956 |
|
|
|
|
Całkowita strata ciśnienia w danej części magistrali Δpc [Pa] |
16391,5925963836 |
59357,3630422173 |
43594,1136970701 |
27044,1766052225 |
5065,17181198867 |
64441,6590023953 |
72391,1342286935 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Średnica wewnętrzna rurociągu dw [m] |
0,049 |
0,049 |
0,049 |
0,0555 |
0,0555 |
0,0555 |
0,021 |
|
|
|
|
Gestość medium ρ [kg/m^3] |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
1000 |
|
|
|
|
Prędkość medium w [m/s] |
0,6300001 |
1,05 |
1,21 |
1,04 |
1,35 |
1,49 |
1,03380335870595 |
|
|
|
|
Kąt nachylenia odgałęzienia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
|
|
|
|
Stosunek wydatku magistrali do wydatku wody w chłodnicy Qa/Q |
0,080074610983337 |
0,145074443407991 |
0,195550389120511 |
0,268041237113402 |
0,475352112676056 |
1 |
1 |
|
|
|
|
Współczynnik oporu lokalnego na trójniku rozdzielczym ζa |
0,89 |
0,885 |
0,88 |
0,885 |
0,925 |
1,28 |
1,28 |
|
|
|
|
Współczynnik oporu lokalnego na trójniku zbiorczym ζa |
-0,9 |
-0,7 |
-0,4 |
-0,2 |
0,285 |
0,92 |
0,92 |
|
|
|
|
Promień krzywizny R [m] |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
0,5 |
|
|
|
|
Kąt zagięcia δ [st] |
90 |
90 |
90 |
90 |
90 |
90 |
90 |
|
|
|
|
Współczynnik oporu lokalnego (zagięcia rurociągu) ζ |
0,065523423856219 |
0,065523423856219 |
0,065523423856219 |
0,065536224095857 |
0,065536224095857 |
0,065536224095857 |
0,065501207089981 |
|
|
|
|
Strata ciśnienia od oporów lokalnych Δpm [Pa] |
24,0217545544852 |
174,220824801481 |
447,31684486789 |
441,331979982079 |
1222,0522684147 |
2587,60697111521 |
1245,62869767844 |
|
|
|
|
Strata ciśnienia na roboczych elementach chłodnicy Δpch [Pa] |
10000 |
10000 |
10000 |
10000 |
10000 |
10000 |
10000 |
|
|
|
|
Strata ciśnienia na odcinku trójnik chłodnica trójnik Δpc [Pa] |
10024,0217545545 |
10174,2208248015 |
10447,3168448679 |
10441,3319799821 |
11222,0522684147 |
12587,6069711152 |
11245,6286976784 |
|
|
|
|
Strata ciśnienia po drodze Mk-chłodnica-MK Δpc [Pa] |
42807,2069473217 |
161672,132102003 |
249133,45551621 |
303215,823861769 |
314126,887774179 |
444375,76048167 |
587816,05066562 |
|
|
|
|
Strata ciśnień na zaworze dławiącym Δpz [Pa] |
545008,843718299 |
426143,918563617 |
338682,59514941 |
284600,226803851 |
273689,162891441 |
143440,29018395 |
0 |
|
|
|
|
Spręż pompy Δpc [Pa] |
587816,05066562 |
|
|
|
|
|
|
|
|
|
|
Wydatek pompy m [kg/s] |
15,19444444 |
|
|
|
|
|
|
|
|
|
|
Całkowita strata ciśnień w danej magistrali Δpc [bar] |
5,76570421967942 |
|
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BILANS CIEPLNY DLA REJONU WYDOBYWCZEGO |
|
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PARAMETRY |
Wyrobisko nr 4 |
Wyrobisko nr 5 |
wyrobisko nr 6 |
|
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|
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|
|
Przed klimatyzacją |
|
|
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|
|
Temperatura sucha na dopływie |
Ts |
oC |
27,7919832882701 |
35,7690957311909 |
42,7396051316794 |
|
|
|
|
|
|
Temperatura wilgotna na dopływie |
Tw |
oC |
24,3926834298638 |
29,7441867369228 |
34,9133224276053 |
|
|
|
|
|
|
Stopień zwilżenia na dopływie |
xd |
kg/kg |
0,016375392853116 |
0,022073098346443 |
0,03009661267561 |
|
|
|
|
|
|
Ciśnienie statyczne bezwzględne powietrza na dopływie |
pd |
Pa |
109676,179879473 |
109541,897150312 |
109252,662435938 |
|
|
|
|
|
|
Entalpia na dopływie |
hd |
kJ/kg |
69,746411987477 |
92,6521205735782 |
120,673568363542 |
|
|
|
|
|
|
Temperatura sucha na wypływie |
Ts |
oC |
35,7690957311909 |
42,7396051316794 |
40,6600270299558 |
|
|
|
|
|
|
Temperatura wilgotna na wypływie |
Tw |
oC |
29,7441867369228 |
34,9133224276053 |
34,2928122729333 |
|
|
|
|
|
|
Stopień zwilżenia na wypływie |
xw |
kg/kg |
0,022073098346443 |
0,03009661267561 |
0,029602998994965 |
|
|
|
|
|
|
Ciśnienie statyczne bezwzględne powietrza na wypływie |
pw |
Pa |
109541,897150312 |
109252,662435938 |
109101,085912464 |
|
|
|
|
|
|
Entalpia na wypływie |
hw |
kJ/kg |
92,6521205735782 |
120,673568363542 |
117,190275043155 |
|
|
|
|
|
|
Różnica entalpii |
Δh |
[kJ/kg] |
22,9057085861011 |
28,0214477899639 |
-3,48329332038708 |
|
|
|
|
|
|
Strumień masy powietrza suchego |
ma |
kg/s |
13,2044541937765 |
12,8477305931708 |
12,5310543116906 |
|
|
|
|
|
|
Cieplo |
Q |
W |
302,457379801167 |
360,012012036057 |
-43,6493377813194 |
618,820054055904 |
|
|
|
|
|
Po klimatyzacji |
|
|
|
|
|
|
Temperatura sucha na dopływie |
Ts |
oC |
27,7919832882701 |
27,7582628085945 |
25,4253982925711 |
|
|
|
|
|
|
Temperatura wilgotna na dopływie |
Tw |
oC |
24,3926834298638 |
26,1008950741077 |
25,2139771553662 |
|
|
|
|
|
|
Stopień zwilżenia na dopływie |
xd |
kg/kg |
0,016375392853116 |
0,019096555247678 |
0,018719260614656 |
|
|
|
|
|
|
Ciśnienie statyczne bezwzględne powietrza na dopływie |
pd |
Pa |
109676,179879473 |
109541,897150312 |
109252,662435938 |
|
|
|
|
|
|
Entalpia na dopływie |
hd |
kJ/kg |
69,746411987477 |
76,6599202748911 |
73,2678221744631 |
|
|
|
|
|
|
Temperatura sucha na wypływie |
Ts |
oC |
27,7582628085945 |
25,4253982925711 |
28 |
|
|
|
|
|
|
Temperatura wilgotna na wypływie |
Tw |
oC |
26,1008950741077 |
25,2139771553662 |
26,3451080464436 |
|
|
|
|
|
|
Stopień zwilżenia na wypływie |
xw |
kg/kg |
0,019096555247678 |
0,018719260614656 |
0,019477366440623 |
|
|
|
|
|
|
Ciśnienie statyczne bezwzględne powietrza na wypływie |
pw |
Pa |
109541,897150312 |
109252,662435938 |
109101,085912464 |
|
|
|
|
|
|
Entalpia na wypływie |
hw |
kJ/kg |
76,6599202748911 |
73,2678221744631 |
77,8843368852286 |
|
|
|
|
|
|
Różnica entalpii |
Δh |
[kJ/kg] |
6,91350828741403 |
-3,392098100428 |
4,61651471076551 |
|
|
|
|
|
|
Strumień masy powietrza suchego |
ma |
kg/s |
13,2044541937765 |
12,8477305931708 |
12,5310543116906 |
|
|
|
|
|
|
Cieplo |
Q |
W |
91,2891034994531 |
-43,5807625399053 |
57,8497965713211 |
105,558137530869 |
|
|
|
|
|
Całkowita ilość ciepła |
Q |
W |
935,727655375167 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cieplo przekazywane przez maszyny |
170,8 |
|
|
|
|
|
|
|
|
|
|
Całkowite ciepło przed klimatyzacja |
618,820054055904 |
|
|
|
|
|
|
|
|
|
|
Cieplo przekazywane przez skaly |
448,020054055904 |
|
|
|
|
|
|
|
|
|
|