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In: Mechanical Engineering

Consider a 1.5m long 30cm wide flat plate exposed to two laminar flows of air (6...

Consider a 1.5m long 30cm wide flat plate exposed to two laminar flows of air (6 m/s free stream top surface and 12m/s free stream bottom surface) at 25ºC and atmospheric pressure. The top and bottom surfaces of the plate are electrically heated (1.5 kW total power, heaters assumed infinitesimally thin). The plate consists of 3 layers: a top and bottom layer of 1.0 cm balsa wood (k = 0.055 W/(m·K)), and a middle layer of 2.0 cm plywood (k = 0.12 W/(m·K)). Assume all of the following conditions apply: a) the generated surface heat flux on the top and the bottom surfaces of the plate is uniform; b) the heat is transferred by convection on both sides of the plate; c) radiation heat transfer is negligible; and d) heat transfer is one-dimensional through the plate and no heat is transferred along the plate. Assume transition occurs at Rex=30,000 for this plate.

•Calculate and plot the expected top, bottom and center temperatures in °C as a function of distance from the leading edge of the plate.

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