An aluminum alloy (2024) plate, heated to a uniform temperature of Ti =  230°C, is allowed to cool while vertically suspended in a room where the ambient air and surroundings are both at 29°C. The plate is 0.5 m square with a thickness of 16 mm and an emissivity of 0.32.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.48P
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An aluminum alloy (2024) plate, heated to a uniform temperature of Ti =  230°C, is allowed to cool while vertically suspended in a room where the ambient air and surroundings are both at 29°C. The plate is 0.5 m square with a thickness of 16 mm and an emissivity of 0.32.

 

 

(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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