How to define thermal properties calculated by another function with temperature as input

Hello,

I am using createpde to create a transient heat transfer model. The thermal properties of my product is a function of temperature but is not a linear function, and I wrote another function with temperature as the input to calculate the thermal properties. I found a linear function is usually written like this k = @(~,state) 0.3+0.003*state.u, how to write it for a non-linear function with temperature as the independent variable?

Thank you very much!

Best regards, Shengyue Shan

Answer 1

[Walter Roberson]

In those models, state.u is the temperature, so go ahead and use any appropriate anonymous function, such as

@(location,state) 0.052*exp(3.6-state.u)

[Shengyue Shan]

Hello Walter, Thank you very much for your answer. But what if I defined my own function in a .m file and I want to use it here? My function has more than 2 inputs including temperature. Thanks!

[Walter Roberson]

https://www.mathworks.com/help/matlab/math/parameterizing-functions.html

So you would use

@(location, state) yourfunction(state.u, anotherinput, thirdinput)

Provided that the extra inputs have already been defined.

[Shengyue Shan]

Hello Walter, Thank you very much for your answer! I will try it.

[Shengyue Shan]

It works! Thank you!