A spherical satellite in near-earth orbit is exposed to

Chapter , Problem 12.132

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QUESTION:

A spherical satellite in near-earth orbit is exposed to solar irradiation of 1368 W/m2 . To maintain a desired operating temperature, the thermal control engineer intends to use a checker pattern for which a fraction F of the satellite surface is coated with an evaporated aluminum film ( 0.03, S 0.09), and the fraction (1F) is coated with a white, zinc-oxide paint ( 0.85, S 0.22). Assume the satellite is isothermal and has no internal power dissipation. Determine the fraction F of the checker pattern required to maintain the satellite at 300 K. 12

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QUESTION:

A spherical satellite in near-earth orbit is exposed to solar irradiation of 1368 W/m2 . To maintain a desired operating temperature, the thermal control engineer intends to use a checker pattern for which a fraction F of the satellite surface is coated with an evaporated aluminum film ( 0.03, S 0.09), and the fraction (1F) is coated with a white, zinc-oxide paint ( 0.85, S 0.22). Assume the satellite is isothermal and has no internal power dissipation. Determine the fraction F of the checker pattern required to maintain the satellite at 300 K. 12

ANSWER:
.3

Given:

-Solar irradiation = 1368 W/m2
-Operating temperature = 300K
-???????????????????? of aluminum film = 0.03
-????????????????????S of aluminum film = 0.09
-???????????????????? of zinc oxide paint = 0.85
-????????????????????S of zinc oxide paint = 0.22

To determine the

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