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capability pde toolbox, 3d application heat transfer

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Urs Vokinger
Urs Vokinger on 20 Jan 2020
Answered: Urs Vokinger on 23 Jan 2020
I have the following 3d heat transfer problem:
Horizontal aluminium plate partially covered by a thermal insulator at the upper and lower surface. The uncovered parts act as heat sinks by convection and radiation. The three edges are thermally insulated one edge is heated, where as the power of the heat varies with time. I would like to know the temperature distribution of the uncovered areas as a function of time.
Question: Is this problem solvable with the pde toolbox of Matlab?
Regard

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Accepted Answer

Ravi Kumar
Ravi Kumar on 22 Jan 2020
If your 3-D model that you discretize involve only cubes then you can model this in PDE. For example see attached image:
modelExample.png
You can model this using:
model = createpde('thermal','transient')
gm = multicuboid(0.1,0.02,[0.1,0.1],'Zoffset',[0,0.1])
model.Geometry = gm;
pdegplot(model,'FaceLabels','on')
Then you can assign insulated BC on all the bottom cube faces. Assign heat generation on one or more of the top cube faces using funcitonal form of BC. Refer to thermalBC function.
Regards,
Ravi

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Urs Vokinger
Urs Vokinger on 23 Jan 2020
Thank you very much Ravi! Great!

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