The spectral reflectivity distribution for white paint (Figure 12.22) can be approximated by the following stair-step function A small flat plate coated with this paint is suspended inside a large enclosure, and its temperature is maintained at 400K. The surface of the enclosure is maintained at 3000 K and the spectral distribution of its emissivity has the following characteristics: (a) Determine the total emissivity, ε , of the enclosure surface. (b) Determine the total emissivity, ε , and absorptivity, α , of the plate.
The spectral reflectivity distribution for white paint (Figure 12.22) can be approximated by the following stair-step function A small flat plate coated with this paint is suspended inside a large enclosure, and its temperature is maintained at 400K. The surface of the enclosure is maintained at 3000 K and the spectral distribution of its emissivity has the following characteristics: (a) Determine the total emissivity, ε , of the enclosure surface. (b) Determine the total emissivity, ε , and absorptivity, α , of the plate.
Solution Summary: The author concludes that the total emissivity of the enclosure surface is e,s=0.383.
The spectral reflectivity distribution for white paint (Figure 12.22) can be approximated by the following stair-step function
A small flat plate coated with this paint is suspended inside a large enclosure, and its temperature is maintained at 400K. The surface of the enclosure is maintained at
3000
K
and the spectral distribution of its emissivity has the following characteristics:
(a) Determine the total emissivity,
ε
, of the enclosure surface.
(b) Determine the total emissivity,
ε
, and absorptivity,
α
, of 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
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