Heat transfer question in pde toolbox

3 次查看(过去 30 天)
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

回答(1 个)

Ravi Kumar
Ravi Kumar 2019-6-26
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
  1 个评论
Shengyue Shan
Shengyue Shan 2019-6-26
Hi Ravi,
Thank you very much for your answer. Do you happen to know whether there are any references for the confirmation of solutions?
Thanks a lot!
Best regards,
Shengyue

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