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a_lawson_2k

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## Homework Statement

spherical shell with inner and outer radii a and b, and with temperatures of the inner and outer surfaces [tex]T_2[/tex] and [tex]T_1[/tex], the thermal conductivity of the shell is k, derive an equation for the total heat current through the shell

## Homework Equations

[tex]H=\frac{dQ}{dt}=kA\frac{T_H-T_C}{L}[/tex]

## The Attempt at a Solution

I am not sure how to approach the 'A' element of the above equation, as it varies and the book didn't give a hint one way or another how to approach it. Barring that,

[tex]H=kA\frac{\Delta t}{b-a}[/tex]

The book said [tex]H=k(4\pi*ab)\frac{\Delta t}{b-a}[/tex] so I can't be too far off. They have a similar problem with a cylinder I'd like to solve, so hopefully it will shed light on both of them.