Solving Heat Equation With Spatially Varying Thermal Conductivity
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I was following this tutorial on how to solve the steady state heat diffusion or transfer problem and so far its been helpful.
However, I was wondering how would one solve the same problem when the thermal conductivity varies with either the x or y coordinate. In this they have a varying thermal conductivity but it only varies with temperature and not space. So I hope some one could explain how to do the same for a spatial varying thermal conductivity or direct me to something that could explain it. Thanks.
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Sitong Wu
on 30 Jun 2021
Hi, I am facing the exactly same problem as you did 6 years ago.
Did you find the way to solve it?
:D
Answers (1)
Alan Weiss
on 9 Jul 2015
The documentation describes how to include coefficients as string expressions. In brief, use 'x' and 'y' as strings representing the x and y coordinates. For example, if your k coefficient is 0.3 + x*y/20, then use
k = '0.3+x.*y/20';
Alan Weiss
MATLAB mathematical toolbox documentation
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