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Question: A system has a 2.44 in3/rev displacement pump driven at 1730 rpm. Average system pressure is 930 psi. It is estimated that the system is 65% efficient, meaning that 35% of the hydraulic energy delivered by the pump is converted to heat energy. The overall heat transfer coefficient for the reservoir is estimated to be U = 5 Btu/ft2⋅h⋅F. It is desired that the oil temperature not exceed 140°F on a day when the ambient temperature is 95°F. If half the total heat generated is dissipated from the lines and the surface of the components, what size reservoir is required to dissipate the remaining heat?

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