Consider two very large metal parallel plates. Thetop

Chapter 13, Problem 13.86

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Consider two very large metal parallel plates. Thetop plate is at a temperature Tt?400 K while the bottom plate is at Tb?300 K. The desired net radiationheat flux between the two plates is q???330 W/m2. (a) If the two surfaces have the same radiative prop-erties, show that the required surface emissivity is??0.5.(b) Metal surfaces at relatively low temperatures tendto have emissivities much less than 0.5 (see TableA.11). An engineer proposes to apply a checkerpattern, similar to that of 12.132, ontoeach of the metal surfaces so that half of each surface is characterized by the low emissivity of the bare metal and the other half is coveredwith the high-emissivity paint. If the average ofthe high and low emissivities is 0.5, will the netradiative heat flux between the surfaces be thedesired value?

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