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GATE ME 2018 Set 2 — Question 51

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NAT+2 / -0Medium1D Steady ConductionConductionHeat TransferRadiation ExchangeRadiation

Heat Transfer → Conduction → 1D Steady Conduction

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Question

A 0.2 m0.2\text{ m} thick infinite black plate having a thermal conductivity of 3.96 W/m-K3.96\text{ W/m-K} is exposed to two infinite black surfaces at 300 K300\text{ K} and 400 K400\text{ K} as shown in the figure. At steady state, the surface temperature of the plate facing the cold side is 350 K350\text{ K}. The value of Stefan-Boltzmann constant, σ\sigma, is 5.67×10−8 W/m2 K45.67 \times 10^{-8}\text{ W/m}^2\text{ K}^4. Assuming 1-D heat conduction, the magnitude of heat flux through the plate (in W/m2\text{W/m}^2) is ________ (correct to two decimal places).
A 0.2 m thick plate between two infinite surfaces. Left surface is at 300 K, right surface is at 400 K. There is vacuum between the surfaces and the plate.
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