An engineered passive radiative cooler coating is placed under the Sun. Provided the following simplified spectral emissivity/absorptivity plot below, calculate the total diffuse emissivity and absorptivity if its uniform surface temperature is a Ts=20°C. Assume the Sun's irradiation onk Earth is Gsun=1380 W/m2 and its blackbody temperature is Tsun= 5800K. Ignore the radiation from the atmosphere (surroundings).

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8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.28P
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An engineered passive radiative cooler coating is placed under the Sun. Provided the following simplified spectral emissivity/absorptivity plot below, calculate the total diffuse emissivity and absorptivity if its uniform surface temperature is a Ts=20°C. Assume the Sun's irradiation onk Earth is Gsun=1380 W/m2 and its blackbody temperature is Tsun= 5800K. Ignore the radiation from the atmosphere (surroundings).

Selectively emit
thermal radiation
Reflect
sunlight
WA
Cooler
30° tilt
Roof
Transcribed Image Text:Selectively emit thermal radiation Reflect sunlight WA Cooler 30° tilt Roof
b
Emissivity/absorptivity
Emissivity/absorptivity
0.75
0.5
0.25
0
2.5
0.75
0.5
0.25
5
OL
2.5 5
Atmospheric
transmittance
8 10
13
Wavelength (um)
8
10 13
Wavelength (um)
20
20
Transcribed Image Text:b Emissivity/absorptivity Emissivity/absorptivity 0.75 0.5 0.25 0 2.5 0.75 0.5 0.25 5 OL 2.5 5 Atmospheric transmittance 8 10 13 Wavelength (um) 8 10 13 Wavelength (um) 20 20
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Using a polynomial equation solver, determine the steady-state surface temperature (Ts) of the passive radiative cooler below that is exposed to a windy convective enviroment h=40 W/m2*K and T= 25°C. The surrounding atmosphere is fixed at Tsur= 10°C. Set up the energy balance/conservation equation. 

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