I'm trying to calculate the rate at which a hollow cylinder with a heating element inside will lose heat, specifically through both conduction and radiation. I realize that the total heat loss per second will be equal to the total amount of power that the heating element consumes. What I really to find though is the temperature inside this cylinder, and I can't seem to find a way to do this.
I used Fourier's Law q=(k/s)A(t1-t2), but my understanding is that this law only accounts for heat transfer through conduction and ignores radiation. How can I account for both radiation and conduction to solve this problem? Can I determine a percent of heat transfer by radiation and a percent of heat transfer through conduction?