Two concentric spheres of diameter Dị = 0.8 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T1 = 400 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 e = 0.5 and e2 = 0.05, in W? 912 (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with e2 0.05, €1 0.5, and DI 0.8 m, in W? %3D 912 (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (e2 = 1.0) and with & = 0.5, D2 and Di = 0.8 m, in W? = 20 m, 912 = i

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Chapter8: Natural Convection
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Problem 8.45P
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Two concentric spheres of diameter Dj = 0.8 mand D2
T1 = 400 K and T2 = 300 K.
= 1.2 m are separated by an air space and have surface temperatures of
(a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W?
912
i
(b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with e = 0.5 and e2 = 0.05, in W?
912
i
w
(c) What is the net rate of radiation exchange if D2 is increased to 20 m, with &2 = 0.05, ɛ 1
= 0.5, and Di = 0.8 m, in W?
912
w
= 1.0) and with ej = 0.5, D2
= 20 m,
(d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (82
and Di = 0.8 m, in W?
912 =
i
W
Transcribed Image Text:Two concentric spheres of diameter Dj = 0.8 mand D2 T1 = 400 K and T2 = 300 K. = 1.2 m are separated by an air space and have surface temperatures of (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 i (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with e = 0.5 and e2 = 0.05, in W? 912 i w (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with &2 = 0.05, ɛ 1 = 0.5, and Di = 0.8 m, in W? 912 w = 1.0) and with ej = 0.5, D2 = 20 m, (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (82 and Di = 0.8 m, in W? 912 = i W
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