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TECHNICAL NOTES

Approximate Solution of a Class of Radiative Heat Transfer Problems

[+] Author and Article Information
H. Qiao

Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong e-mail: mehong@cityu.edu.hk

Y. Ren

Fujitsu Parallel Computing Research Centre, Imperial College, 180 Queen’s Gage, London SW7 2BZ, UK e-mail: yr@ic.ac.uk

B. Zhang

School of Mathematical and Information Sciences, Coventry University, Coventry CV1 5FB, UK e-mail: b.zhang@coventry.ac.uk

J. Heat Transfer 122(3), 606-612 (Mar 30, 2000) (7 pages) doi:10.1115/1.1286672 History: Received June 24, 1999; Revised March 30, 2000
Copyright © 2000 by ASME
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References

Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd Ed., Hemisphere, Washington, DC.
Sparrow, E. I., and Cess, R. D., 1970, Radiation Heat Transfer Rev. Ed., Wadsworth, Belmont, CA.
Atkinson, K. E., 1997, The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, Cambridge, UK.
Krishnan,  K. S., and Sundaram,  R., 1960, “The Distribution of Temperature Along Electrically Heated Tubes and Coils, I. Theoretical,” Proc. R. Soc. London, Ser. A, 257, pp. 302–315.
Perlmutter,  M., and Siegel,  R., 1963, “Effect of Specularly Reflecting Gray Surface on Thermal Radiation Through a Tube and From Its Heated Wall,” ASME J. Heat Transfer, 85, No. 1, pp. 55–62.
Choi,  B. C., and Churchill,  S. W., 1985, “A Technique for Obtaining Approximate Solutions for a Class of Integral Equations Arising in Radiative Heat Transfer,” Int. J. Heat Fluid Flow, 6, No. 1, pp. 42–48.
Worth,  D. J., Spence,  A., Crumpton,  P. I., and Kolaczkowski,  S. T., 1996, “Radiative Exchange Between Square Parallel Channels in a Concentric Monolith Structure,” Int. J. Heat Mass Transf., 39, No. 7, pp. 1463–1474.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1994, Numerical Recipes in FORTRAN, 2nd Ed., Cambridge University Press, Cambridge, UK.

Figures

Grahic Jump Location
Model for radiative transfer between a gray cylindrical tube
Grahic Jump Location
Comparison of approximations and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=L=0.1
Grahic Jump Location
Comparison of approximations and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=0.5 and L=1
Grahic Jump Location
Comparison of approximations and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=0.5 and L=5
Grahic Jump Location
Comparison of approximations and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=0.5 and L=30
Grahic Jump Location
Comparison of approximation and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=0.1 and L=30
Grahic Jump Location
Comparison of approximations and numerical solution for dimensionless radiosity on inside surface of a cylinder with ε=0.1 and L=0.1

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