1. Reference problem#

1.1. Geometry#

_images/10000000000002140000015BBD3D20DCBFCC8637.png

Height \(L=3.m\)

Width \(l=1.m\)

1.2. Material properties#

Volume heat \(\rho {C}_{P}=0.\)

Thermal conductivity \(k=\mathrm{1.W}/m°C\)

1.3. Boundary conditions and loads#

Outgoing flow through plane \({B}_{1}{F}_{1}{G}_{1}{C}_{1}\) same as inflow through plane \({A}_{2}{E}_{2}{H}_{2}{D}_{2}\)

Temperature imposed in \({A}_{1}\) Temperature imposed in \({B}_{2}\)

\(T=0.°C\)

\(T=4.5°C\)

Normal flow imposed on plan \({B}_{2}{F}_{2}{G}_{2}{C}_{2}\) Normal flow imposed on plans \({C}_{1}{G}_{1}{H}_{1}{D}_{1}\) and \({C}_{2}{G}_{2}{H}_{2}{D}_{2}\)

\(\varphi =\mathrm{3.W}/{m}^{2}\)

\(\varphi =\mathrm{6.W}/{m}^{2}\)

Normal flow imposed on plans \({E}_{1}{F}_{1}{G}_{1}{H}_{1}\) and \({E}_{2}{F}_{2}{G}_{2}{H}_{2}\)

\(\varphi =\mathrm{2.W}/{m}^{2}\)

Source imposed in domain 1 Source imposed in field 2

\({s}_{1}\) \({s}_{2}\)