A 2-m-internal-diameter double-walled spherical tank is used to store iced water at 0°C. Each wall is 0.5 cm thick, and the 1.5-cm-thick air space between the two walls of the tank is evacuated in order to minimize heat transfer. The surfaces surrounding the evacuated space are polished so that each surface has an emissivity of 0.15. The temperature of the outer wall of the tank is measured to be 20°C. Assuming the inner wall of the steel tank to be at 0°C, determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period.

Question

A 2-m-internal-diameter double-walled spherical
tank is used to store iced water at 0°C. Each wall is 0.5 cm
thick, and the 1.5-cm-thick air space between the two walls of
the tank is evacuated in order to minimize heat transfer. The
surfaces surrounding the evacuated space are polished so that
each surface has an emissivity of 0.15. The temperature of
the outer wall of the tank is measured to be 20°C. Assuming
the inner wall of the steel tank to be at 0°C, determine (a) the
rate of heat transfer to the iced water in the tank and
(b) the amount of ice at 0°C that melts during a 24-h period.

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Mechanical Engineering

Heat Transfer

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