TECHNICAL PAPERS: Radiative Heat Transfer

Apparent Radiative Properties and Radiation Scattering by a Semitransparent Hemispherical Shell

[+] Author and Article Information
Tai-Hsi Fan, Andrei G. Fedorov

Multiscale Integrated Thermofluidics Laboratory, G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Heat Transfer 124(6), 1088-1094 (Dec 03, 2002) (7 pages) doi:10.1115/1.1497357 History: Received July 02, 2001; Revised May 28, 2002; Online December 03, 2002
Copyright © 2002 by ASME
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Laimbock, P. R., 1998, “Foaming of Glass Melts,” Ph.D. dissertation, Technical University of Endhoven, Endhoven, The Netherlands, pp. 1–140.
Fedorov,  A., and Viskanta,  R., 2000, “Radiative Transfer in a Semitransparent Glass Foam Blanket,” Phys. Chem. Glasses, 41, pp. 127–130.
Fedorov,  A., and Viskanta,  R., 2000, “Radiation Characteristics of Glass Foams,” J. Am. Ceram. Soc., 83, pp. 2769–2800.
Fedorov, A., Degertekin, F. L., and Hesketh, P., 2001, “Novel Method for Fabrication of Hollow Perforated Beads,” U.S. patent application, pending.
Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.
Siegel, R., and Howell J. R., 1992, Thermal Radiation Heat Transfer, Taylor & Francis, London.
Fan,  T. H., and Fedorov,  A., 2002, “Radiative Transfer in a Semitransparent Hemispherical Shell,” J. Quant. Spectrosc. Radiat. Transf., 73, pp. 285–296.
Chan,  C. K., and Tien,  C. L., 1974, “Radiative Transfer in Packed Spheres,” ASME J. Heat Transfer, 96, pp. 52–58.


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Schematic of collimated radiation incident on the batch foam: (a) actual arrangement; and (b) idealized arrangement.
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Tracing an energy bundle in the hemispherical semitransparent shell
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Total apparent absorptance and reflectance as functions of the normalized shell thickness (n2=1.5,κ̃=0.1)
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Comparison of the total apparent transmittance of the planar layer and hemispherical shell (n2=1.5,κ̃=0.1)
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Isolines of the normalized volumetric radiant heating rate within the shell (κ̃=0.1,r1/r2=0.8,n2=1.5)
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Normalized scattering phase function and its three components (κ̃=0.1,r1/r2=0.8,n2=1.5)
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Normalized scattering phase function and Henyey-Greenstein approximation (κ̃=0.1,n2=1.5)



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