Changes between Version 1 and Version 2 of doc/app/indoorequ
- Timestamp:
- Jul 30, 2019 8:26:25 AM (6 years ago)
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TabularUnified doc/app/indoorequ
v1 v2 46 46 }}} 47 47 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 48 To 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)]] 51 51 52 52 {{{ … … 89 89 The 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. 90 90 91 FIGURE 2 91 [[Image(5R1C_scheme.png,400px, border=0)]] 92 92 93 93 The 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. … … 155 155 #!Latex 156 156 \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} \\ 169 159 & H_{t,3} = \frac{1}{ \frac{1}{H_{t,2}} \ + \frac{1}{H_{t,ms}} \ } \ 170 160 \end{align*} … … 258 248 \end{align*} 259 249 }}} 250 260 251 '''Heating and Cooling Demand'''\\ 252 261 253 The 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)]] 256 263 257 Stage 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. 264 258 In this case the demand is: