The reciprocity relation, the summation rule, and Equations 13.5 to 13.7 can be used to develop view factor relations that allow for applications of Figure 13.4 and/or 13.6 to more complex configurations. Consider the view factor F 1 4 for surfaces 1 and 4 of the following geometry. These surfaces are perpendicular but do not share a common edge. (a) Obtain the following expression for the view factor F14 : F 14 = 1 A 1 [ ( A 1 + A 2 ) F ( 1 , 2 ) ( 3 , 4 ) + A 2 F 23 − ( A 1 + A 2 ) F ( 1 , 2 ) 3 − A 2 F 2 ( 3 , 4 ) ] (b) It L 1 = L 2 = L 4 = ( W / 2 ) and L 3 = W , what is the value of F 1 4 ?
The reciprocity relation, the summation rule, and Equations 13.5 to 13.7 can be used to develop view factor relations that allow for applications of Figure 13.4 and/or 13.6 to more complex configurations. Consider the view factor F 1 4 for surfaces 1 and 4 of the following geometry. These surfaces are perpendicular but do not share a common edge. (a) Obtain the following expression for the view factor F14 : F 14 = 1 A 1 [ ( A 1 + A 2 ) F ( 1 , 2 ) ( 3 , 4 ) + A 2 F 23 − ( A 1 + A 2 ) F ( 1 , 2 ) 3 − A 2 F 2 ( 3 , 4 ) ] (b) It L 1 = L 2 = L 4 = ( W / 2 ) and L 3 = W , what is the value of F 1 4 ?
The reciprocity relation, the summation rule, and Equations 13.5 to 13.7 can be used to develop view factor relations that allow for applications of Figure 13.4 and/or 13.6 to more complex configurations. Consider the view factor F14for surfaces 1 and 4 of the following geometry. These surfaces are perpendicular but do not share a common edge.
(a) Obtain the following expression for the view factor F14:
F
14
=
1
A
1
[
(
A
1
+
A
2
)
F
(
1
,
2
)
(
3
,
4
)
+
A
2
F
23
−
(
A
1
+
A
2
)
F
(
1
,
2
)
3
−
A
2
F
2
(
3
,
4
)
]
(b) It
L
1
=
L
2
=
L
4
=
(
W
/
2
)
and
L
3
=
W
, what is the value of F14?
PARTS ( A-C) Read and solve carefully please write clearly and box the final answer(s) Label Them
A flat, circular silicon wafer is uniformly heated by a flat, circular surface located above it. Thewafer’s back side is perfectly insulated, and the heating occurs in vacuum. The power supplied tothe hemispherical surface is 10 kW. Assume that all surfaces are gray, diffuse, and opaque, and thatsteady state exists. The view factor between the heater and the wafer, F13=0.1716.a) Draw the radiation network for this configuration.b) Determine F12.c) Determine the temperature of the heater surface.d) Determine the temperature of the wafer.
Question 30 of 30
く
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Current Attempt in Progress
Two concentric spheres of diameter D = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of
T = 410 K and T2 = 300 K.
(a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W?
912 =
W
(b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with &j = 0.5 and ɛ2 = 0.05, in W?
912 =
i
W
(c) What is the net rate of radiation exchange if D2 is increased to 20 m, with ɛ2 = 0.05, ɛ = 0.5, and D = 0.8 m, in W?
912 =
W
(d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with &j = 0.5, D2 = 20
m, and D = 0.8 m, in W?
912 =
i
W
Physical Properties Mathematical Functions
II
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Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning