13.26 A furnace is constructed in three sections, which includeinsulated circular (2) and cylindrical (3) sections, aswell as an intermediate cylindrical section (1) withimbedded electrical resistance heaters. The overalllength and diameter are 200 mm and 100 mm, respec-tively, and the cylindrical sections are of equal length.The surroundings are at 0 K.- A2(a) If all the surfaces are black, determine the elec-trical power, q1, required to maintain the heatedsection at 1000 K.(b) What are the temperatures of the insulated sec-tions, T, and T,?|(c) For D = 100 mm, generate a plot of q, T, andT; as functions of the length-to-diameter ratio,with 1s L/D< 5.

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Answered: 13.26 A furnace is constructed in three…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter11: Heat Transfer By Radiation

Section: Chapter Questions

Problem 11.29P

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11.68 Two infinitely large, black, plane surfaces are 0.3 m apart, and the space between them is filled by an isothermal gas mixture at 811 K and atmospheric pressure. The gas mixture consists of by volume. If one of the surfaces is maintained at 278 K and the other at 1390 K, calculate (a) the effective emissivity of the gas at its temperature, (b) the effective absorptivity of the gas to radiation from the 1390 K surface, (c) the effective absorptivity of the gas to radiation from the 278 K surface, and (d) the net rate of heat transfer to the gas per square meter of surface area.
11.31 A large slab of steel 0.1 m thick contains a 0.1 -m-di- ameter circular hole whose axis is normal to the surface. Considering the sides of the hole to be black, specify the rate of radiative heat loss from the hole. The plate is at 811 K, and the surroundings are at 300 K.
Determine the total average hemispherical emissivity and the emissive power of a surface that has a spectral hemispherical emissivity of 0.8 at wavelengths less than 1.5m, 0.6 at wavelengths from 1.5to2.5m, and 0.4 at wavelengths longer than 2.5m. The surface temperature is 1111 K.
A space satellite in the shape of a sphere is traveling in outer space, where its surface temperature is held at 315.2K. The sphere “sees” only outer space, which can be considered as a black body with a temperature of 2K. The polished surface of the sphere has an emissivity of 0.15. Calculate the heat loss per m2 by radiation.
A flame from a match may be approximated as a blackbody at the effective surface temperature of 1700 K, while moonlight may be approximated as a blackbody at the effective surface temperature of 4000 K, respectively. Determine the peak spectral blackbody emissive power for both lighting sources (match flame and moonlight).

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