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. All plates are long in the direction perpendicular to the page, and in each figure the two plates are parallel and apart.
- Figure 1: plate L is wide and plate M is wide; L is centred over M, so M extends beyond each edge of L.
- Figure 2: plates N and R are each wide and directly opposite each other.
- Figure 3: plate P is wide and plate Q is wide; their left edges are aligned, so Q extends beyond one edge of P.
Correct answer
0.6 to 0.6
Solution
Split the wider plates into strips.Figure 1. M consists of (left strip), (the strip directly under L) and (right strip): and are identical opposite strips, the same geometry as Figure 2, so . By symmetry :Figure 3. Q consists of (directly under P) and (the adjacent strip):
- (directly opposite strips)
- (strip offset by one width)
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