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TECHNICAL NOTES

Wavelets and the Discrete Ordinate Method for Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With a Nongray Medium

[+] Author and Article Information
Ye Wang, Yildiz Bayazitoglu

Department of Mechanical Engineering and Materials Science, Rice University, Houston, TX 77005

J. Heat Transfer 124(5), 971-975 (Sep 11, 2002) (5 pages) doi:10.1115/1.1392989 History: Received February 05, 1999; Revised April 16, 2001; Online September 11, 2002

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References

Modest,  M. F., 1975, “Radiative Equilibrium of a Gray Medium in a Rectangular Enclosure Bounded by Gray Walls,” J. Quant. Spectrosc. Radiat. Transf., 15, p. 445.
Yuen,  W. W., and Wong,  L. W., 1984, “Analysis of Radiative Equilibrium in a Rectangular Enclosure With Gray Medium,” ASME J. Heat Transfer, 106, p. 433.
Yuen,  W. W., and Ho,  C. F., 1985, “Analysis of Two-Dimensional Radiative Heat Transfer in a Gray Medium With Internal Heat Generation,” Int. J. Heat Mass Transf., 28, p. 17.
Ratzel, A. G., 1981, “P-N Differential Approximation for Solution of One- and Two-Dimensional Radiation and Conduction Energy Transfer in Gray Participating Media,” Ph.D. dissertation, Department of Mechanical Engineering, University of Texas, Austin.
Yuen,  W. W., and Takara,  E. E., 1988, “Analysis of Combined Conductive-Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With a Gray Medium,” ASME J. Heat Transfer, 110, p. 468.
Kim,  T. Y., and Baek,  S. W., 1991, “Analysis of Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure Using the Discrete Ordinates Method,” Int. J. Heat Mass Transf., 34, pp. 2265.
Modest,  M. F., and Sikka,  K. K., 1992, “The Stepwise Gray P-1 Approximation for Multi-Dimensional Radiative Transfer in Molecular- Gas-Particulate Mixtures,” J. Quant. Spectrosc. Radiat. Transf., 48, pp. 159.
Modest,  M. F., 1991, “The Weighted-Sum-of-Gray-Gases Model for Arbitrary Solution Methods in Radiative Transfer,” ASME J. Heat Transfer, 113, pp. 650.
Bayazitoglu, Y., and Wang, B. Y., 1996, “Wavelets in the Solution of Nongray Radiative Heat Transfer Equation,” HTD-Vol. 332, Proceeding of the ASME Heat Transfer Division, 1 , pp. 129.
Wang, Y., and Bayazitoglu, Y., 1998, “Wavelets and Discrete Ordinates Method in Solving One-Dimensional Nongray Radiation Problem,” Int. J. Heat Mass Transf., in press.
Newland, D. E., 1993, An Introduction to Random Vibrations, Spectral and Wavelet Analysis, John Wiley & Sons Inc., New York.
Truelove,  J. S., 1987, “Discrete-Ordinate Solutions of the Radiation Transport Equation,” ASME J. Heat Transfer, 109, p. 1048.
Fiveland,  W. A., 1984, “Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures,” ASME J. Heat Transfer, 106, p. 699.
Miele,  A., and Iyer,  R. R., 1970, “General Technique for Solving Nonlinear Two-Point Boundary-Value Problems via the Method of Particular Solutions,” Optimization Theory and Applications,5, p. 382.
Edwards,  D. K., 1976, “Molecular Gas Band Radiation,” Advances in Heat Transfer, 12, Academic Press, New York p.115.

Figures

Grahic Jump Location
Nondimensional temperature distribution at centerline in two-dimensional rectangular enclosure filled with nongray medium CO2 for various aspect ratios (Case 2)
Grahic Jump Location
Nondimensional temperature distribution at centerline in two-dimensional rectangular enclosure filled with nongray medium CO2 for various aspect ratios (Case 1)
Grahic Jump Location
Geometry and coordinate system of two-dimensional rectangular enclosure

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