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Question

Consider two concentric spheres with diameter 12cm and 18cm forming an enclosure. The view factor, from the inner surface of the outer sphere to its own , is

A
49
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B
1
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C
59
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D
0
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Solution

The correct option is C 59


d1=12cm,
d2=18cm,

F12=1

Using reciprocity theorem

A1F12=A2F21

4πr21×1=4πr22×F21
F21=(r1r2)2=(1218)2=(23)2=49

Using summation rule.

F21+F22=1

49+F22=1

F22=149=59

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