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Introduction to Heat Transfer | 6th Edition | ISBN: 9780470501962 | Authors: Theodore L. Bergman
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The end of a cylindrical liquid cryogenic propellant tank

Chapter , Problem 13.6

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QUESTION:

The end of a cylindrical liquid cryogenic propellant tank in free space is to be protected from external (solar) radiation by placing a thin metallic shield in front of the tank. Assume the view factor Fts between the tank and the shield is unity; all surfaces are diffuse and gray, and the surroundings are at 0 K. Find the temperature of the shield Ts and the heat flux (W/m2 ) to the end of the tank

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QUESTION:

The end of a cylindrical liquid cryogenic propellant tank in free space is to be protected from external (solar) radiation by placing a thin metallic shield in front of the tank. Assume the view factor Fts between the tank and the shield is unity; all surfaces are diffuse and gray, and the surroundings are at 0 K. Find the temperature of the shield Ts and the heat flux (W/m2 ) to the end of the tank

ANSWER:
.

Assuming a perfect emitter, the heat radiated outward by the tank is

qout = ??T^4

where ? = emissivity of the tank, T = temperature of the tank, and ? =

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