Heat transfer question in pde toolbox

Question

Shengyue Shan 2019-6-25

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https://ww2.mathworks.cn/matlabcentral/answers/468887-heat-transfer-question-in-pde-toolbox

评论： Shengyue Shan 2019-6-26

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Hello all,

I have a question about using pde toolbox for heat transfer analysis. I used

createpde('thermal','transient')

to create the heat transfer model for analysis. And it seems that MATLAB solves heat transfer equations where only thermal conductivity is temperature-dependent as shown in the examples, and the equation is in the form

But I defined all of density, specific heat and thermal conductivity as temperature dependent. Will MATLAB provide a correct solution?

Any explanation or reference will be highly appreciated. Thank you very much!

Best,

Shengyue

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Answer 1

Ravi Kumar 2019-6-26

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Yes, all the three properties can be defined as function of temperature. This will make the problem highly nonlinear, existance of a solution and solver's aility to converge to it need to tested on individual case.

Regards,

Ravi