GATE ME 2014 Set 3 — Question 57
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Heat Transfer → Radiation → View Factors
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Question
A solid sphere of radius is placed concentrically inside a hollow sphere of radius as shown in the figure.
The view factor for radiation heat transfer is
Correct answer
(B) (4)/(9)
Solution
For the inner sphere (surface 1) and outer sphere (surface 2):
Substituting the values:
.
1. (convex surface cannot see itself).
2. (all radiation from surface 1 hits surface 2).
Using the reciprocity theorem:Substituting the values:
.
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