An electrically heated sample is maintained at a sur-face

Chapter 13, Problem 13.34

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An electrically heated sample is maintained at a sur-face temperature of Ts?500 K. The sample coating isdiffuse but spectrally selective, with the spectral emis-sivity distribution shown schematically. The sample isirradiated by a furnace located coaxially at a distanceof Lsf?750 mm. The furnace has isothermal wallswith an emissivity of ?f?0.7 and a uniform tempera-ture of Tf?3000 K. A radiation detector of areaAd?8?10?5m2is positioned at a distance ofLsd?1.0 m from the sample along a direction that is45?from the sample normal. The detector is sensitiveto spectral radiant power only in the spectral regionfrom 3 to 5m. The sample surface experiences con-vection with a gas for which T??300 K andh?20 W/m2?K. The surroundings of the samplemount are large and at a uniform temperature ofTsur?300 K.(a) Determine the electrical power, Pe, required tomaintain the sample at Ts?500 K. (b) Considering both emission and reflected irradia-tion from the sample, determine the radiant powerthat is incident on the detector within the spectralregion from 3 to 5m

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