A photovoltaic panel of dimension 2 m × 4 m isinstalled on the root of a home. The panel is irradiatedwith a solar flux of G s = 700 W/m 2 , oriented normal Wthe top panel surface. The absorptivity of the panel to thesolar irradiation is α s = 0.83 , and the efficiency of conversion of the absorbed flux to electrical power is η = P / α s G s A = 0.553 − 0.001 K -1 T p where T P is thepanel temperature expressed in kelvins and A is the solarpanel area. Determine the electrical power generated for(a) a still summer day, in which T s u r = T ∞ = 35 ° C . h = 10 W/m 2 ⋅ K , and (b) a breezy winter day,for which T s u r = T ∞ = − 15 ° C , h = 30 W/m 2 ⋅ K . The panel emissivity is ∈ = 0.90 .
A photovoltaic panel of dimension 2 m × 4 m isinstalled on the root of a home. The panel is irradiatedwith a solar flux of G s = 700 W/m 2 , oriented normal Wthe top panel surface. The absorptivity of the panel to thesolar irradiation is α s = 0.83 , and the efficiency of conversion of the absorbed flux to electrical power is η = P / α s G s A = 0.553 − 0.001 K -1 T p where T P is thepanel temperature expressed in kelvins and A is the solarpanel area. Determine the electrical power generated for(a) a still summer day, in which T s u r = T ∞ = 35 ° C . h = 10 W/m 2 ⋅ K , and (b) a breezy winter day,for which T s u r = T ∞ = − 15 ° C , h = 30 W/m 2 ⋅ K . The panel emissivity is ∈ = 0.90 .
Solution Summary: The author explains the electrical power generated for a still summer day and the solar flux of irradiation.
A photovoltaic panel of dimension
2
m
×
4
m
isinstalled on the root of a home. The panel is irradiatedwith a solar flux of
G
s
=
700
W/m
2
, oriented normal Wthe top panel surface. The absorptivity of the panel to thesolar irradiation is
α
s
=
0.83
,
and the efficiency of conversion of the absorbed flux to electrical power is
η
=
P
/
α
s
G
s
A
=
0.553
−
0.001
K
-1
T
p
where
T
P
is thepanel temperature expressed in kelvins and A is the solarpanel area. Determine the electrical power generated for(a) a still summer day, in which
T
s
u
r
=
T
∞
=
35
°
C
.
h
=
10
W/m
2
⋅
K
,
and (b) a breezy winter day,for which
T
s
u
r
=
T
∞
=
−
15
°
C
,
h
=
30
W/m
2
⋅
K
. The panel emissivity is
∈
=
0.90
.
Define the absorption of radiation incident on an opaque surface of absorptivity α.
A small sphere (emissivity =0.503 radius=r1) is located at the center of a spherical abestos shell ( thickness =1.74 cm, outer radius= r2; thermal conductivity of abestos is 0.090 J/ (sm c degrees) The thickness of the shell is small compared to the inner and outer radii of the shell. The temperature of the small sphere is 695 degrees Celsius while the temperature of the inner surface of the shell is 352 degrees Celsius, both temperatures remaining constant. Assuming that r2/r1 =8.75 and ignoring any air inside the shell, find the temperature in degrees Celsius of the outer surface of the shell.
Determine the following:
a. Average emissivity of both surfaces
b. Absorptivity of both surfaces
c. reflectivity of both surfaces
d. which surface is more suitable to serve as a solar absorber?
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