Two concentric spheres of diameter D1 0.8 m and D2 1.2 m

Chapter , Problem 13.55

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QUESTION:

Two concentric spheres of diameter D1 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? (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with 1 0.5 and 2 0.05? (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 0.8 m? What error would be introduced by assuming blackbody behavior for the outer surface (2 1), with all other conditions remaining the same? (d) For D2 1.2 m and emissivities of 1 0.1, 0.5, and 1.0, compute and plot the net rate of radiation exchange as a function of 2 for 0.05 2 1.0. 13.56 Dete

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QUESTION:

Two concentric spheres of diameter D1 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? (b) What is the net rate of radiation exchange between the surfaces if they are diffuse and gray with 1 0.5 and 2 0.05? (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 0.8 m? What error would be introduced by assuming blackbody behavior for the outer surface (2 1), with all other conditions remaining the same? (d) For D2 1.2 m and emissivities of 1 0.1, 0.5, and 1.0, compute and plot the net rate of radiation exchange as a function of 2 for 0.05 2 1.0. 13.56 Dete

ANSWER:


(a) The net rate of radiation exchange between the spheres is 673 W.

(b) The net rate of radiation exchange between the surfaces if they are diffuse and gray with 1 0.5 and 2 0.05 is 344 W.

(c) The net rate of

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