A 10-cm thick aluminum plate (r = 2702 kg/m3, cp =903 J/kg·K, k = 237 W/m·K, and a = 97.1 * 10–6 m2/s) is beingheated in liquid with temperature of 500°C. The aluminumplate has a uniform initial temperature of 25°C. If the surfacetemperature of the aluminum plate is approximately the liquidtemperature, determine the temperature at the center plane of thealuminum plate after 15 seconds of heating. Solve this problemusing analytical one-term approximation method (not the Heislercharts).

Question

A 10-cm thick aluminum plate (r = 2702 kg/m3, cp =
903 J/kg·K, k = 237 W/m·K, and a = 97.1 * 10–6 m2/s) is being
heated in liquid with temperature of 500°C. The aluminum
plate has a uniform initial temperature of 25°C. If the surface
temperature of the aluminum plate is approximately the liquid
temperature, determine the temperature at the center plane of the
aluminum plate after 15 seconds of heating. Solve this problem
using analytical one-term approximation method (not the Heisler
charts).

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