A metallic spherical shell having inner and outer radii a and b respectively has thermal conductivity K=K0r2{a≤r≤b}, where r is the distance from the center of the sphere. The inner surface is maintained at temperature θ1 and outer surface is maintained at temperature θ2 . Calculate the rate at which heat flows radially through the material [θ2>θ1].

A metallic spherical shell having inner and outer radii a and b respec

1.	A metallic spherical shell having inner and outer radii a and b respectively has thermal conductivity K=K0r2{a≤r≤b}, where r is the distance from the center of the sphere. The inner surface is maintained at temperature θ1 and outer surface is maintained at temperature θ2 . Calculate the rate at which heat flows radially through the material [θ2>θ1].
Answer» A metallic spherical shell having inner and outer radii $a$ and $b$ respectively has thermal conductivity $K = \frac{K_{0}}{r^{2}} {a \leq r \leq b}$ , where $r$ is the distance from the center of the sphere. The inner surface is maintained at temperature $θ_{1}$ and outer surface is maintained at temperature $θ_{2}$ . Calculate the rate at which heat flows radially through the material $[θ_{2} > θ_{1}]$ .

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