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Question

For two concentric spheres with inner diameter d1 and outer diameter d2, the view factor of inner surface of outer sphere, to itself is given by

A
1d1d2
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B
1(d1d2)2
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C
0
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D
1
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Solution

The correct option is B 1(d1d2)2
F12=1 (from the geometry)
Using Reciprocity theorem

A1F12=A2F12

A1×1=A2F21

F21=A1A2

F21=4πr214πr22

F21=d21d22

Using Summation rule,

F21+F22=1

F22=1F21

F22=1d21d22

F22=1(d1d2)2



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