Two concentric spheres of diameter D = 0.7 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 400 K and T, = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with & = 0.5 and ɛz = 0.05, in W? 912 = W (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with &2 = 0.05, €1 = 0.5, and D1 = 0.7 m, in W? 912 = W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (82 = 1.0) and with & = 0.5, D2 = 20 m, and D = 0.7 m, in W? 912 = W

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
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Problem 8.45P
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Two concentric spheres of diameter D = 0.7 m and D2 = 1.2 m are separated by an air space and have surface temperatures of
T = 400 K and T, = 300 K.
(a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W?
912 =
(b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with & = 0.5 and &2 = 0.05, in W?
912 =
W
(c) What is the net rate of radiation exchange if D2 is increased to 20 m, with &2 = 0.05, €1 = 0.5, and D1 = 0.7 m, in W?
912 =
W
(d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (82 = 1.0) and with &1 = 0.5, D2 = 20 m,
and D = 0.7 m, in W?
912 =
W
Transcribed Image Text:Two concentric spheres of diameter D = 0.7 m and D2 = 1.2 m are separated by an air space and have surface temperatures of T = 400 K and T, = 300 K. (a) If the surfaces are black, what is the net rate of radiation exchange between the spheres, in W? 912 = (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with & = 0.5 and &2 = 0.05, in W? 912 = W (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with &2 = 0.05, €1 = 0.5, and D1 = 0.7 m, in W? 912 = W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (82 = 1.0) and with &1 = 0.5, D2 = 20 m, and D = 0.7 m, in W? 912 = W
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