An aluminum alloy (2024) plate, heated to a uniform temperature of Ti =  231°C, is allowed to cool while vertically suspended in a room where the ambient air and surroundings are both at 28°C. The plate is 0.4 m square with a thickness of 17 mm and an emissivity of 0.31.     (a) Develop an expression for the time rate of change of the plate temperature, assuming the temperature to be uniform at any time.   (b)Determine the initial rate of cooling (K/s) when the plate temperature is Ti °C.

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8th Edition
ISBN:9781305387102
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Chapter6: Forced Convection Over Exterior Surfaces
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An aluminum alloy (2024) plate, heated to a uniform temperature of Ti =  231°C, is allowed to cool while vertically suspended in a room where the ambient air and surroundings are both at 28°C. The plate is 0.4 m square with a thickness of 17 mm and an emissivity of 0.31.

 

 

(a) Develop an expression for the time rate of change of the plate temperature, assuming the temperature to be uniform at any time.

 

(b)Determine the initial rate of cooling (K/s) when the plate temperature is Ti °C.

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