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Solving Heat Equation With Spatially Varying Thermal Conductivity

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Aidan Petrovich
Aidan Petrovich 2015-7-8
评论： Sitong Wu 2021-6-30
I was following this tutorial on how to solve the steady state heat diffusion or transfer problem and so far its been helpful.
http://www.mathworks.com/help/pde/examples/solving-a-heat-transfer-problem-with-temperature-dependent-properties.html
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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Alan Weiss
Alan Weiss 2015-7-9
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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