Heat transfer question in pde toolbox

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

Answer 1

[Ravi Kumar]

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

[Shengyue Shan]

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