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what will the boundary(both side insulated) nodes equations be? please I need help in any way possible
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Gadosky571
el 10 de Mzo. de 2018
Respondida: Torsten
el 13 de Mzo. de 2018
The general energy balanced equation is given in the attach image
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/171129/image.jpeg)
for all interior nodes of the glass cover discretized equation:
For i=2, 3, 4… Nx-1
j=4
attach as image.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/171130/image.jpeg)
how would the finite difference equation at i=1 and i=N for glass i.e. at j=4 look like? the complete control volume diagram is attached.
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Abraham Boayue
el 11 de Mzo. de 2018
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John D'Errico
el 12 de Mzo. de 2018
Editada: John D'Errico
el 12 de Mzo. de 2018
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Torsten
el 13 de Mzo. de 2018
Your equation is a first-order PDE with only a convection, but no conduction term in it. Thus you cannot prescribe insulated boundaries. The only applicable conditions for this kind of equation are Dirichlet and extrapolation boundary conditions.
Furthermore, to discretize the spatial derivative term dT/dx, never use centered differences schemes, but only upwind schemes.
Best wishes
Torsten.
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