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TECHNICAL PAPERS: Radiative Heat Transfer

Calculation of Direct Exchange Areas for Nonuniform Zones Using a Reduced Integration Scheme

[+] Author and Article Information
Weixue Tian, Wilson K. S. Chiu

Department of Mechanical Engineering, University of Connecticut, Storrs, CT 06269-3139

J. Heat Transfer 125(5), 839-844 (Sep 23, 2003) (6 pages) doi:10.1115/1.1599368 History: Received January 10, 2003; Revised May 16, 2003; Online September 23, 2003
Copyright © 2003 by ASME
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References

Hottel,  H. C., and Cohen,  E. S., 1958, “Radiant Heat Exchange in a Gas-Filled Enclosure: Allowance for Nonuniformity of Gas Temperature,” AIChE J., 4, pp. 3–14.
Modest, M. F., 2003, Radiative Heat Transfer, 2nd ed., Academic Press, San Diego, CA.
Hottel, H. C., and Sarofim, A. F., 1967, Radiative Transfer, McGraw-Hill Inc., New York.
Goyhénéche,  J. M., and Sacadura,  J. F., 2002, “The Zonal Method: A New Explicit Matrix Relation to Calculate the Total Exchange Areas in Anisotropically Scattering Medium Bounded by Anisotropically Reflecting Walls,” ASME J. Heat Transfer, 124, pp. 696–703.
Stroud, A. H., 1971, Approximate Calculation of Multiple Integrals, Prentice-Hall, Englewood Cliffs, NJ.
Siddall, R. G., 1986, “Accurate Evaluation of Radiative Direct-Exchange Areas for Rectangular Geometries,” in Proceedings of the Eighth International Heat Transfer Conference, Hemisphere Publishing Corp., Washington, DC, pp. 751–756.
Tucker,  R. J., 1986, “Direct Exchange Areas for Calculating Radiation Transfer in Rectangular Furnaces,” ASME J. Heat Transfer, 108, pp. 707–710.
Erkku, H., 1959, “Radiant Heat Exchange in Gas-Filled Slabs and Cylinders,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.
Larsen,  M. E., and Howell,  J. R., 1986, “Least-Squares Smoothing of Direct Exchange Areas in Zonal Analysis,” ASME J. Heat Transfer, 108, pp. 239–242.
Sika,  J., 1991, “Evaluation of Direct-Exchange Areas for a Cylindrical Enclosure,” ASME J. Heat Transfer, 113, pp. 1040–1044.
Murty,  C. V. S., 1993, “Evaluation of Radiation Reception Factors in a Rotory Kiln Using a Modified Monte-Carlo Scheme,” Int. J. Heat Mass Transfer, 36, pp. 119–133.
Tian, W., and Chiu, W. K. S., 2002, “Numerical Modeling of CO2 Laser-Heated Moving Glass Rods,” in Proceedings of ASME International Mechanical Engineering Congress and Exposition, CD-ROM, 1 , ASME, New York, Paper No. IMECE-33082.
Walton, G., 2002, “Calculation of Obstructed View Factors by Adaptive Integration,” Tech. Rep. NISTIR 6925, NIST.
Siegel, R., and Howell, J., 2002, Thermal Radiation Heat Transfer, 4th ed., Taylor & Francis, London.
Azad,  F. H., and Modest,  M. F., 1981, “Evaluation of the Radiative Heat Flux in Absorbing, Emitting and Linear-Anisotropically Scattering Cylindrical Media,” ASME J. Heat Transfer, 103, pp. 350–356.

Figures

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z−y plane of the integral
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Schematic of volume-volume zones
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Comparison of volume-volume DEA with Erkku 8. The curves, from top to bottom, represent DEA of zones at the centerline, midpoint, and surface of the cylinder, respectively.
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Percentage of difference of current results and the data by Erkku 8
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Comparison of nondimensionalized surface heat flux of an isothermal cylinder using uniform zones with analytical solution 2
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Comparison of nondimensionalized surface heat flux of a nonisothermal cylindrical enclosure by uniform and non-uniform zones with analytical solution 2

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