sinfonia:heat_losses_caused_by_drain_pipes_in_the_phpp
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sinfonia:heat_losses_caused_by_drain_pipes_in_the_phpp [2021/09/07 13:09] – nsukhija | sinfonia:heat_losses_caused_by_drain_pipes_in_the_phpp [2022/02/15 19:32] (current) – admin | ||
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<WRAP center 60%> | <WRAP center 60%> | ||
- | < | + | $$ |
\Large{Q = \varPsi\cdot l \cdot (T_{i} - T_{drain})} | \Large{Q = \varPsi\cdot l \cdot (T_{i} - T_{drain})} | ||
- | </ | + | $$ |
</ | </ | ||
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* The air inside the pipe may be assumed to have the sewer temperature over its whole length: \\ | * The air inside the pipe may be assumed to have the sewer temperature over its whole length: \\ | ||
< | < | ||
- | < | + | $$ |
\Large{Q \leq \varPsi\cdot l \cdot (T_{i} - T_{sewer})} | \Large{Q \leq \varPsi\cdot l \cdot (T_{i} - T_{sewer})} | ||
- | </ | + | $$ |
</ | </ | ||
* The incoming air may be assumed to be heated to room temperature before it leaves the building: | * The incoming air may be assumed to be heated to room temperature before it leaves the building: | ||
<WRAP center 60%> | <WRAP center 60%> | ||
- | < | + | $$ |
\Large{Q \leq \dot m c_{l} \cdot (T_{i} - T_{sewer})} | \Large{Q \leq \dot m c_{l} \cdot (T_{i} - T_{sewer})} | ||
- | </ | + | $$ |
</ | </ | ||
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< | < | ||
- | < | + | $$ |
\Large{T(z) = T_{i} - (T_{sewer} -T_{i}) \cdot e^ { \dfrac{-\varPsi}{\dot m c_{p}} \cdot Z}} | \Large{T(z) = T_{i} - (T_{sewer} -T_{i}) \cdot e^ { \dfrac{-\varPsi}{\dot m c_{p}} \cdot Z}} | ||
- | </ | + | $$ |
</ | </ | ||
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<WRAP center 60%> | <WRAP center 60%> | ||
- | < | + | $$ |
- | \Large{\={T} = T_{i} - (T_{sewer} -T_{i}) \cdot \dfrac{\dot m c_{p}}{\varPsi l} \cdot (e^ { \dfrac{-\varPsi}{\dot m c_{p}} \cdot l} - 1)} | + | \Large{\overline{T} = T_{i} - (T_{sewer} -T_{i}) \cdot \dfrac{\dot m c_{p}}{\varPsi l} \cdot (e^ { \dfrac{-\varPsi}{\dot m c_{p}} \cdot l} - 1)} |
- | </ | + | $$ |
</ | </ | ||
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If the ambient temperatures are higher than the indoor temperatures, | If the ambient temperatures are higher than the indoor temperatures, | ||
<WRAP center 60%> | <WRAP center 60%> | ||
- | < | + | $$ |
\Large{T(z) = \dfrac{T_{i} - T_{drain}}{T_{i} - T_{ambient}}} | \Large{T(z) = \dfrac{T_{i} - T_{drain}}{T_{i} - T_{ambient}}} | ||
- | </ | + | $$ |
</ | </ | ||
for the heating case. However, such a distinction would require to provide different Ψ values for each month, or at least for winter and summer. This appears inappropriate with regard to the relative importance of the effect. \\ | for the heating case. However, such a distinction would require to provide different Ψ values for each month, or at least for winter and summer. This appears inappropriate with regard to the relative importance of the effect. \\ |
sinfonia/heat_losses_caused_by_drain_pipes_in_the_phpp.1631012973.txt.gz · Last modified: 2021/09/07 13:09 by nsukhija