Cylindrical pillars similar to those of Problem 4.22 are positioned between the glass sheets with a pillar-to-pillar spacing of W . The inside surface of one glass sheet is treated with a low-emissivity coating characterized by ε 1 = 0.05 . The second inner surface has an emissivity of ε 2 = 0.95 . Determine the ratio of conduction to radiation heat transfer through a square unit area of dimension W × W for W = 10 , 20 , and 30 mm. The stainless steel pillar is located at the center of the unit area and has a length of L = 0.4 mm and diameter of D = 0.15 mm . The contact resistances and glass temperatures are the same as in Problem 4.22.
Cylindrical pillars similar to those of Problem 4.22 are positioned between the glass sheets with a pillar-to-pillar spacing of W . The inside surface of one glass sheet is treated with a low-emissivity coating characterized by ε 1 = 0.05 . The second inner surface has an emissivity of ε 2 = 0.95 . Determine the ratio of conduction to radiation heat transfer through a square unit area of dimension W × W for W = 10 , 20 , and 30 mm. The stainless steel pillar is located at the center of the unit area and has a length of L = 0.4 mm and diameter of D = 0.15 mm . The contact resistances and glass temperatures are the same as in Problem 4.22.
Solution Summary: The author explains the ratio of conduction to radiation heat transfer through a square unit area of dimension Wtimes W.
Cylindrical pillars similar to those of Problem 4.22 are positioned between the glass sheets with a pillar-to-pillar spacing of W. The inside surface of one glass sheet is treated with a low-emissivity coating characterized by
ε
1
=
0.05
. The second inner surface has an emissivity of
ε
2
=
0.95
. Determine the ratio of conduction to radiation heat transfer through a square unit area of dimension
W
×
W
for
W
=
10
,
20
, and 30 mm. The stainless steel pillar is located at the center of the unit area and has a length of
L
=
0.4
mm
and diameter of
D
=
0.15
mm
. The contact resistances and glass temperatures are the same as in Problem 4.22.
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.
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
Define the absorption of radiation incident on an opaque surface of absorptivity α.
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