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An electrical machine dissipates 2.5 kW. All cooling of the unit takes place through one exposed...

An electrical machine dissipates 2.5 kW. All cooling of the unit takes place through one exposed surface, measuring 120 mm × 190 mm. All other surfaces of the unit are insulated. 50 fins are mounted on the exposed surface. The fins are made of aluminium alloy 2024-T6, and each one measures 120 mm × 2 mm in cross-section and 80 mm in length (normal to the surface they are mounted on). The fins and base surface are exposed to fan-driven air at 15°C with a convection heat transfer coefficient of 60 W m–2 K–1. Calculate the steady-state temperature of the power supply’s exposed surface. (b) To increase the heat transfer rate through a set of fins, without changing the base temperature, would it be more effective to increase the number of fins by 20%, or to increase the length of each fin by 20%? Explain your answer.

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