Problem 1 The upper surface of an ASME SB-96 copper-silicon plate is subjected to convection with hot air flowing at 6.5 m/s parallel over the plate surface. The plate is square with a length of 1 m, and the temperature of the hot air is 200°C. The ASME Boiler and Pressure Vessel Code (ASME BPVC.IV-2015, HF-300) limits equipment constructed with ASME SB-96 plate to be operated at a temperature not exceeding 93°C. From a wind tunnel experiment, the average friction coefficient for the upper surface of the plate was found to be 0.0023. In the interest of designing a cooling mechanism to keep the plate surface temperature from exceeding 93°C, determine the minimum heat removal rate required to keep the plate surface from going above 93°C. Use the following air properties for the analysis: cp = 1.016 kJ/kg-K, k = 0.03419 W/m-K, u = 2.371×105 kg/m-s, and p = 0.8412 kg/m².