Heat TransferHard

Question

Three very large plates of same area are kept parallel and close to each other. They are considered as idealblack surfaces and have very high thermal conductivity. The first and third plates are maintained attemperatures 2T and 3T respectively. The temperature of the middle (i.e. second) plate under steady statecondition is

Options

A.
B.
C.
D.(97)1/4 T

Solution


                 
σA (2T)4 + σA (3T)4 = σ 2A(T′)4
16T4 + 81T4 = 2(T′)4
97T4 = 2(T′)4
(T′)4 =
∴ T′ =

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