Heat transfer question in pde toolbox

조회 수: 1(최근 30일)
Shengyue Shan
Shengyue Shan 2019년 6월 25일
댓글: Shengyue Shan 2019년 6월 26일
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

답변(1개)

Ravi Kumar
Ravi Kumar 2019년 6월 26일
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
  댓글 수: 1
Shengyue Shan
Shengyue Shan 2019년 6월 26일
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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