Changes between Version 1 and Version 2 of doc/app/indoorequ


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Timestamp:
Jul 30, 2019 8:26:25 AM (6 years ago)
Author:
srissman
Comment:

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  • TabularUnified doc/app/indoorequ

    v1 v2  
    4646}}}
    4747
    48 To take respect of an non rectangular building a virtual façade area specific indoor volume shown in figure 1, created.
    49 
    50 FIGURE 1
     48To take respect of an non rectangular building a virtual façade area specific indoor volume shown in figure 1, created.\\
     49
     50 [[Image(virtual_volume.png,300px, border=0)]]
    5151
    5252{{{
     
    8989The ICM is based on an analytical solution of Fourier’s law considering a resistance model with five resistances ''R'' [K/W] and one heat capacity ''C'' [J/K] as seen in figure 2.
    9090
    91 FIGURE 2
     91[[Image(5R1C_scheme.png,400px, border=0)]]
    9292
    9393The solution is based on a Crank-Nicolson scheme for a one-hour time step. Since the calculations are based on heat transfer coefficients, ''H'' [W/K] all figures and equations are based on heat transfer coefficients. This is the reciprocal value of ''R'' and takes short wave, long wave, convective and conductive heat transfer and heat transport (by air) into account.
     
    155155#!Latex
    156156\begin{align*}
    157   & H_{t,1} = \frac{1}{ \frac{1}{H_{v}} \ + \frac{1}{H_{t,is}} \ } \
    158 \end{align*}
    159 }}}
    160 {{{
    161 #!Latex
    162 \begin{align*}
    163   & H_{t,2} = H_{t,1} + H_{t,es}
    164 \end{align*}
    165 }}}
    166 {{{
    167 #!Latex
    168 \begin{align*}
     157  & H_{t,1} = \frac{1}{ \frac{1}{H_{v}} \ + \frac{1}{H_{t,is}} \ } \ \\
     158  & H_{t,2} = H_{t,1} + H_{t,es} \\
    169159  & H_{t,3} = \frac{1}{ \frac{1}{H_{t,2}} \ + \frac{1}{H_{t,ms}} \ } \
    170160\end{align*}
     
    258248\end{align*}
    259249}}}
     250
    260251'''Heating and Cooling Demand'''\\
     252
    261253The heating and cooling demand ''Φ'',,HC,nd,, is disposed in 5 different stages as shown in figure 3. \\
    262 FIGURE 3\\
     254
     255[[Image(Phi_HCnd_scheme.png,400px, border=0)]]
     256
    263257Stage 1: No heating or cooling necessary, because room temperature ''ϑ'',,air,, is between the set comfort temperatures when heating ''ϑ'',,heat,set,, or cooling ''ϑ'',,cool,set,, is needed.
    264258In this case the demand is: