GATE ME 2019 Set 2 — Question 55
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Heat Transfer → Radiation → View Factors
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Question
Three sets of parallel plates LM, NR and PQ are given in Figures 1, 2 and 3. The view factor is defined as the fraction of radiation leaving plate that is intercepted by plate . Assume that the values of and are and , respectively. The value of (round off to one decimal place) is ______.
Correct answer
0.6 to 0.6
Solution
Using the view factor summation rule and symmetry:
(offset case calculated above)
1.From Figure 2, the view factor between two aligned plates separated by is .
2.From Figure 1, plate (width ) can be divided into three segments: (left), (center), and (right). Plate is directly above .
Since and are aligned like and , . By symmetry, .3.In Figure 3, plate (width ) consists of two segments: (directly below ) and (offset to the right).
(aligned case)(offset case calculated above)
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