An electrically heated sample is maintained at a surface temperature of T s = 500 K. The
Question:
An electrically heated sample is maintained at a surface temperature of Ts = 500 K. The sample coating is diffuse but spectrally selective, with the spectral emissivity distribution shown schematically. The sample is irradiated by a furnace located coaxially at a distance of Lsf = 750 mm. The furnace has isothermal walls with an emissivity of ?? = 0.7 and a uniform temperature of T? = 3000 K. A radiation detector of area Ad = 8 X 10-5 m2 is positioned at a distance of Lsd = 1.0 m from the sample along a direction that is 45? from the sample normal. The detector is sensitive to spectral radiant power only in the spectral region from 3 to 5?m. The sample surface experiences convection with a gas for which T? = 300 K and h = 20 W/m2. K. The surroundings of the sample mount are large and at a uniform temperature of Tsur = 300 K.
(a) Determine the electrical power, Pe, required to maintain the sample at Ts = 500 K.
(b) Considering both emission and reflected irradiation from the sample, determine the radiant power that is incident on the detector within the spectral region from 3 to 5?m.
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Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine