Two concentric spheres of diameter D1 = 0.9 mand D2 = 1.2 mare separated by an air space and have surface temperatures of T1 = 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 = i W (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with & = 0.5 and ɛ2 = 0.05, in W? 912 = W (c) What is the net rate of radiation exchange if D2 is increased to 20 m, with ɛ2 = 0.05, ɛj = 0.5, and Dj = 0.9 m, in W? 912 = i W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with & = 0.5, D2 = 20 m, and D = 0.9 m, in W? 912 = i 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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Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.30P
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Two concentric spheres of diameter D1 = 0.9 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 =
i
W
(b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with ɛj = 0.5 and ɛz = 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, ɛ1
0.5, and D1 = 0.9 m, in W?
912 =
i
W
(d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with ɛ = 0.5, D2 = 20 m,
and D = 0.9 m, in W?
912 =
W
Transcribed Image Text:Two concentric spheres of diameter D1 = 0.9 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 = i W (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with ɛj = 0.5 and ɛz = 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, ɛ1 0.5, and D1 = 0.9 m, in W? 912 = i W (d) What is the net rate of radiation exchange if the larger sphere behaves as a black body (ɛ2 = 1.0) and with ɛ = 0.5, D2 = 20 m, and D = 0.9 m, in W? 912 = W
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