A highly polished aluminum plate of length 0.5 m andwidth

Chapter 9, Problem 9.48

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A highly polished aluminum plate of length 0.5 m andwidth 0.2 m is subjected to an airstream at a tempera-ture of 23?C and a velocity of 10 m/s. Because ofupstream conditions, the flow is turbulent over theentire length of the plate. A series of segmented, inde-pendently controlled heaters is attached to the lowerside of the plate to maintain approximately isothermalconditions over the entire plate. The electrical heatercovering the section between the positions x1?0.2 mand x2?0.3 m is shown in the schematic.(a) Estimate the electrical power that must be suppliedto the designated heater segment to maintain theplate surface temperature at Ts?47?C.(b) If the blower that maintains the airstream velocityover the plate malfunctions, but the power to theheaters remains constant, estimate the surface tem-perature of the designated segment. Assume thatthe ambient air is extensive, quiescent, and at 23?C.