GATE ME 2016 Set 2 — Question 26
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Heat Transfer → Radiation → View Factors
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Question
Consider the radiation heat exchange inside an annulus between two very long concentric cylinders. The radius of the outer cylinder is and that of the inner cylinder is . The radiation view factor of the outer cylinder onto itself is
Correct answer
(D) 1 - (Rᵢ)/(Rₒ)
Solution
Let the inner cylinder be surface 1 and the outer cylinder be surface 2.
.
1.Summation Rule for Surface 1: . Since surface 1 is convex, it cannot see itself, so . Thus, .
2.Reciprocity Theorem: .
The surface areas are and ..
3.Summation Rule for Surface 2: .
The radiation view factor of the outer cylinder onto itself is .Therefore, the correct option is (D).Continue learning with Success Tracker
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