A small flat plate is positioned just beyond the earth’s atmosphere and is oriented such that the normal to the plate passes through the center of the sun. Refer to Problem 12.20 for pertinent earth-sun dimensions. (a) What is the solid angle subtended by the sun about a point on the surface of the plate? (b) Determine the incident intensity, I i , on the plate using the known value of the solar irradiation above the earth’s atmosphere ( G s = 1368 W / m 2 ) . (c) Sketch the incident intensity I i as a function of the zenith angle θ , where θ is measured from the nor- mal to the plate.
A small flat plate is positioned just beyond the earth’s atmosphere and is oriented such that the normal to the plate passes through the center of the sun. Refer to Problem 12.20 for pertinent earth-sun dimensions. (a) What is the solid angle subtended by the sun about a point on the surface of the plate? (b) Determine the incident intensity, I i , on the plate using the known value of the solar irradiation above the earth’s atmosphere ( G s = 1368 W / m 2 ) . (c) Sketch the incident intensity I i as a function of the zenith angle θ , where θ is measured from the nor- mal to the plate.
Solution Summary: The author explains how the solid angle subtended by the sun is 6.7443times 10-5sr.
A small flat plate is positioned just beyond the earth’s atmosphere and is oriented such that the normal to the plate passes through the center of the sun. Refer to Problem 12.20 for pertinent earth-sun dimensions. (a) What is the solid angle subtended by the sun about a point on the surface of the plate? (b) Determine the incident intensity,
I
i
, on the plate using the known value of the solar irradiation above the earth’s atmosphere
(
G
s
=
1368
W
/
m
2
)
. (c) Sketch the incident intensity
I
i
as a function of the zenith angle
θ
, where
θ
is measured from the nor- mal to the plate.
A typical car's exterior consists of a thin layer of silica (SiO2) over an opaque painted metal panel.
Silica is transparent in the visible wavelengths but offers high reflectance in the near- to mid-
infrared wavelengths. The plot on the next page depicts the diffuse spectral reflectivity (pa) of the
car's surface:
Spectral reflectivity, P₂
0.8
0.6
0.4
ལ
0.2
0
0.1
1
1
10
Wavelength, λ(μm)
100
If the car's exterior temperature is T₁ = 77°C, determine both the total absorptivity (a) and the total
emissivity (a) of the silica-covered panel. Assume that the Sun's temperature is Tsun = 5800 K.
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).
The last portion asks you for "net radiant heat flux to the surface", meaning that positive net radiative heat flux means in and negative net radiative heat flux means out. This is opposite the typical sign convention - be aware of this
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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