Heat Distribution in a Circular Cylindrical Rod cfunction doesnt include density?

In this example on mathworks the function is stated

but then when inserting into the PDE they use

cFunc = @(region,state) cp*region.y;

ignoring density (rho) therefore, why is it not

cFunc = @(region,state) cp*rho*region.y;

?

Thank you

Ben

Answer 1

[Alan Weiss]

In this section of the example you can see that rho is included in the 'MassDensity' argument, which automatically applies it to the correct part of the equation. If you were using the generic solver instead of the thermal solver, then indeed you would include rho in the d argument.

Alan Weiss

MATLAB mathematical toolbox documentation

[Ben Sheard]

Hi Alan, Thamks again for another useful answer. Hoping you can help with my latest issue at https://de.mathworks.com/matlabcentral/answers/355555-error-using-pde-transientthermalresults-line-56-solution-does-not-correspond-to-time-dependent-pde?s_tid=prof_contriblnk