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Question: a spherical container filled with a fluid of good thermal...

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A spherical container filled with a fluid of good thermal conductivity which is constantly being stirred is to be insulated. The inner diameter of the container is 0.4 m. The heat capacity of the fluid is 70 kJ/°C. The wall thickness is 15 mm and the conductivity of the material is 15 W/mK. The fluid is at 160°C. The convection coefficient on the inside is 45 W/m2K. The outside is exposed to air at 30°C with a convection coefficient of 25 W/m2K. Determine the overall heat transfer coefficient based on outside area, heat loss and the instantaneous rate of cooling of the fluid

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