An aluminum plate 4 mm thick is mounted in a horizontal position, and its bottom surface is well insulated. A special, thin coating is applied to the top surface such that it absorbs 80% of any incident solar radiation, while having an emissivity of 0.25. The density p an specific heat c of aluminum are known to be 2700 kg/m3 and 900 J/kg-K, respectively. (a) Consider conditions for which the plate is at a temperature of 25°C and its top surface is suddenly exposed to ambient air at T = 20°C and to solar radiation that provides an incident flux of 600 W/m². The convection heat transfer coefficient between the surface and the air is h = 20 W/m2.K. What is the initial rate of change of the plate temperature, in °C/s? (b) What will be the equilibrium temperature, in °C, of the plate when steady-state conditions are reached?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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An aluminum plate 4 mm thick is mounted in a horizontal position, and its bottom surface is well insulated. A special, thin coating is
applied to the top surface such that it absorbs 80% of any incident solar radiation, while having an emissivity of 0.25. The density p and
specific heat c of aluminum are known to be 2700 kg/m³ and 900 J/kg-K, respectively.
(a) Consider conditions for which the plate is at a temperature of 25°C and its top surface is suddenly exposed to ambient air at T
00
20°C and to solar radiation that provides an incident flux of 600 W/m?. The convection heat transfer coefficient between the surface
and the air is h
20 W/m2.K. What is the initial rate of change of the plate temperature, in °C/s?
(b) What will be the equilibrium temperature, in °C, of the plate when steady-state conditions are reached?
Transcribed Image Text:An aluminum plate 4 mm thick is mounted in a horizontal position, and its bottom surface is well insulated. A special, thin coating is applied to the top surface such that it absorbs 80% of any incident solar radiation, while having an emissivity of 0.25. The density p and specific heat c of aluminum are known to be 2700 kg/m³ and 900 J/kg-K, respectively. (a) Consider conditions for which the plate is at a temperature of 25°C and its top surface is suddenly exposed to ambient air at T 00 20°C and to solar radiation that provides an incident flux of 600 W/m?. The convection heat transfer coefficient between the surface and the air is h 20 W/m2.K. What is the initial rate of change of the plate temperature, in °C/s? (b) What will be the equilibrium temperature, in °C, of the plate when steady-state conditions are reached?
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