GATE ME 2016 Set 1 — Question 53
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Heat Transfer → Radiation → Radiation Exchange
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Question
An infinitely long furnace of cross-section is shown in the figure below. Consider all surfaces of the furnace to be black. The top and bottom walls are maintained at temperature while the side walls are at temperature . The view factor, is . The net radiation heat loss or gain on side 1 is_________ W/m.Stefan-Boltzmann constant 

Correct answer
24528 to 24532
Solution
1.Convert temperatures to Kelvin: , .
2.Use the summation rule for view factors from surface 1: .
3.Since surface 1 is flat, . Given . By symmetry, .
4.Thus, .
5.The net radiation loss from black surface 1 is given by: .
6.Per unit length (): .
7.Since , the term .
8..
9..
10..
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