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Consider a spherical vessel filled with a substance which is generating heat at a uniform rate...

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Mechanical Engineering

Consider a spherical vessel filled with a substance which isgenerating heat at a uniform rate of 10^5 W/m^3. The substance hasa thermal conductivity of 20 W/mK, and the vessel has a thermalconductivity of 15 W/mK.

The inner radius of the container is 0.5m and the outer radiusis 0.6 m.

The container is surrounded by a fluid with convectioncoefficient of 1000 W/m^2K and T_inf = 25 Celsius.

Determine the temperature distribution T(r) by solving thedifferential equation, and evaluating the given boundaryconditions

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