- #1
TheDemx27
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Homework Statement
A spherical shell has inner and outer radii r_a and r_b, respectively, and the temperatures at the inner and outer surfaces are T_a and T_b. The thermal conductivity of he shell material is k. Derive an equation for the total heat current thought the shell in the steady state. Then calculate the temperature as a function of r, the distance from the center of the shell.
Homework Equations
H=-kA(T_b-T_a)/(r_b-r_a)
The Attempt at a Solution
I know that I'm supposed to use calculus somehow, I write the area A as a function of r, A(r)=4pi*r^2. I don't know what to do from there