A hot silver plate is having its upper surface cooled by airforced convection of 15 °C with heat transfer coefficient of 220W/m.K. The 10-cm thick plate (mass density Ï=8530 kg/m3,Cp=380J/kg.K, k=110 W/m.K, and α=33.9×10-6 m2/s) has a uniforminitial temperature of 650 °C, and the bottom surface of the plateis insulated.
(a) calculate the Bi number and determine whether the lumpedcapacitance method can be used. (2 points)
(b) Determine the temperature at the center plane of the plateafter 3 minutes of cooling. Solve this problem using the analyticalone-term approximation method. (Hint: use table 5.1 in the lectureslides) (8 points)
