A flat-plate solar collector, consisting of an absorber plate and single cover plate, is inclined at an angle of τ = 60 ° relative to the horizontal. Consider conditions for which the incident solar radiation is collimated at an angle of 60° relative to the horizontal and the solar flux is 900 W/m 2 . The cover plate is perfectly transparent to solar radiation ( λ ≤ 3 μ m ) and is opaque to radiation of larger wave lengths. The cover and absorber plates are diffuse surfaces having the spectral absorptivities shown. The length and width of the absorber and cover plates are much larger than the plate spacing L . What is the rate at which solar radiation is absorbed per unit area of the absorber plate? With the absorber plate well insulated from below and absorber and cover plate temperatures T a and T c of 70°C and 27°C, respectively, what is the heat loss per unit area of the absorber plate?
A flat-plate solar collector, consisting of an absorber plate and single cover plate, is inclined at an angle of τ = 60 ° relative to the horizontal. Consider conditions for which the incident solar radiation is collimated at an angle of 60° relative to the horizontal and the solar flux is 900 W/m 2 . The cover plate is perfectly transparent to solar radiation ( λ ≤ 3 μ m ) and is opaque to radiation of larger wave lengths. The cover and absorber plates are diffuse surfaces having the spectral absorptivities shown. The length and width of the absorber and cover plates are much larger than the plate spacing L . What is the rate at which solar radiation is absorbed per unit area of the absorber plate? With the absorber plate well insulated from below and absorber and cover plate temperatures T a and T c of 70°C and 27°C, respectively, what is the heat loss per unit area of the absorber plate?
Solution Summary: The author explains the absorbed solar radiation and heat loss per unit area of the plate and the cover plate. The kinematic viscosity of air is given by t_a=70°
A flat-plate solar collector, consisting of an absorber plate and single cover plate, is inclined at an angle of
τ
=
60
°
relative to the horizontal.
Consider conditions for which the incident solar radiation is collimated at an angle of 60° relative to the horizontal and the solar flux is
900
W/m
2
. The cover plate is perfectly transparent to solar radiation
(
λ
≤
3
μ
m
)
and is opaque to radiation of larger wave lengths. The cover and absorber plates are diffuse surfaces having the spectral absorptivities shown.
The length and width of the absorber and cover plates are much larger than the plate spacing L. What is the rate at which solar radiation is absorbed per unit area of the absorber plate? With the absorber plate well insulated from below and absorber and cover plate temperatures Taand Tcof 70°C and 27°C, respectively, what is the heat loss per unit area of the absorber plate?
A composite wall is comprised of two large plates separated by sheets of refractory insulation. In the
installation process, the sheets of thickness L = 50 mm and thermal conductivity k = 0.05 W/mK are separated at
1-m intervals by gaps of width w = 10 mm. The hot and cold plates have temperatures and emissivities of T1 =
400 deg C, emissivity1 = 0.85 and T2 = 35 deg C, emissivity2 = 0.5, respectively. Assume that the plates and
insulation are diffuse-gray surfaces.
%3D
Determine the heat loss by radiation through the gap per unit length of the composite wall (normal
to the page).
Recognizing that the gaps are located on a 1-m spacing, determine what fraction of the total heat
loss through the composite wall is due to transfer by radiation through the insulation gap.
Hot side
Gap
w = 10 mm
A. 47 W/m, 9.2%
T1
= 400°C
B. 47 W/m, 10.2%
L = 50 mm
C. 37 W/m, 10.2%
D. 37 W/m, 9.2%
T2 = 35°C
Cold side
1 m
Insulation, k = 0.05 W/m-K
Asap
Consider a silicon wafer positioned in a furnace that is zone-heated on the top section and cooled on the lower section. The wafer is
placed such that the top and bottom surfaces of the wafer exchange radiation with the hot and cold zones respectively of the furnace.
The zone temperatures are Tsur.h = 900 K and Tsur.c = 330 K. The emissivity and thickness of the wafer are ɛ = 0.65 and d = 0.78
mm, respectively. With the ambient gas at T, = 700 K, convection heat transfer coefficients at the upper and lower surfaces of the
wafer are 8 and 4 W/m2-K. Find the steady-state temperature of the wafer, in K.
Tw
i
K
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