Consider heat conduction in a solid sphere with radius R and thermal conductivity k. The temperature...

 

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Consider heat conduction in a solid sphere with radius R and thermal conductivity k. The temperature at solid surface (r=R) is Ts. Assuming heat conduction is in the r-direction only and there is no heat generation, at steady state, find: a. Temperature at the center of the sphere (i.e., at r=0) [5 points], and b. Heat flux at the center of the sphere. [5 points] Consider heat conduction in a solid sphere with radius R and thermal conductivity k. The temperature at solid surface (r=R) is Ts. Assuming heat conduction is in the r-direction only and there is no heat generation, at steady state, find: a. Temperature at the center of the sphere (i.e., at r=0) [5 points], and b. Heat flux at the center of the sphere. [5 points]

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