Thermal Heat modeling
 

I want to model transient heat loss from a solid surface in a conjugate heat transfer model. Simplifying my case,
I just need to model convection and radiation losses from a hot solid surface to the ambient surrounding conditions:


This surface loses heat to atm air due to convection which can be written as:
Qc= h(c)*A*(delta_T);
h(c)= C2*f(deltaT);
(C2 is some constant);

It also radiates heat into the the continuum medium in the neighboring regions:
It can be written as: Qr= h(r)*emmisivity*A*(Tc^4-T^4) ;
This can be simplified or transformed into a linear function using various tools to get:
h(r)=C1*f(delta_T)+ C3;
(C1 and C3 are constants);

Then I simplify this equation as:
h(tot)= h(r)+h(c);
I enter this as the CEL expression in the HTc as a BC.

Does this make sense?

Any help or comments will be welcome !:)