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  3. 2 40 points a hollow stainless bearing ball of inner...

Question: 2 40 points a hollow stainless bearing ball of inner...

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2. (40 points) A hollow stainless bearing ball of inner radius r-0,005 m and outer radius r0.008 m is at steady state in a ball bearing system. The temperature at the inner wall is T,-25C, and the temperature at the outer wall is To-35°C. The thermal conductivity k 15 W/m-K for the stainless stel. Conduction in the bearing ball only occurs radially (r-direction), and there is no heat generation. The properties are constant.
temperature at the outer wall is To-35°C. The thermal conductivity k-w/m-K for the stainless steel. Conduction in the bearing ball only occurs radially (r-direction), and there is no heat generation. The properties are constant. is (a) Starting from the governing heat diffusion equation, determine the simplified equation and find the general solution of the temperature profile T) in the hollow stainless sphere. (b) What are the boundary conditions needed to solve for temperature profile TC) in part a? (c) Solve for the temperature profile in the insulation layer, Tr) expression. (d) What is the heat transfer rate q, at the outer surface of the hollow stainless sphere?
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