Two large black plane surfaces are maintained at constant temperature T 1 and T 2 ( T 1 T 2 ) . Two thin black plates are placed between the two surfaces and in parallel to these. After some

Question

Two large black plane surfaces are maintained at constant temperature $T_{1}$ and $T_{2} (T_{1} > T_{2})$ . Two thin black plates are placed between the two surfaces and in parallel to these. After some time, steady conditions are obtained. What is the ratio of heat transfer rate between plate-1 & plate-3 to the ratio of original (when plate-3 & plate-4 was not present) heat tranfer rate between plate-1 & plate-2 $(η)$ in steady state?

TestHub · Accepted Answer

Q = σ ( T 1 4 ​ − T 3 4 ​ ) W / m 2 ​ = σ ( T 3 4 ​ − T 4 4 ​ ) W / m 2 = σ ( T 4 4 ​ − T 2 4 ​ ) W / m 2 3 Q = σ ( T 1 4 ​ − T 2 4 ​ ) = Q 0 ​ W / m 2 η = Q 0 ​ Q ​ = 3 1 ​ ​

Physics - Heat & Thermo Question with Solution | TestHub

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