Astrophysics and Space Science

, Volume 196, Issue 1, pp 143–152 | Cite as

A fourier transform solution of radiation transfer in a spherical-inhomogeneous medium

  • M. A. Madkour
  • A. M. Elabsy
Article

Abstract

The radiative heat flux at the boundary of a sphere containing an internal energy source and subject to general boundary conditions (problem 1) is obtained in terms of the albedo of the corresponding source-free problem with isotropic boundary condition (problem 2). The solution of problem 2 is performed on the basis of the integral Fourier transforms method. Numerical results for the partial heat flux and emissivity for a given internal energy source and inhomogeneous medium, isotropic scattering are obtained.

Keywords

Radiation Boundary Condition Fourier Fourier Transform Heat Flux 

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References

  1. Boffi, V. C. and Molinari, V. G.: 1970,Mecanica 5, 177.Google Scholar
  2. El-Wakil, S. A.: 1980,J. Phys. D13, 339.Google Scholar
  3. El-Wakil, S. A. and Saad, E. A.: 1987,Astrophys. Space Sci. 129, 247.Google Scholar
  4. El-Wakil, S. A., Haggag, M. H., Attia, M. T., and Saad, E. A.: 1988,J. Quant. Spectr. Rad. Trans. 40, 71.Google Scholar
  5. Kolesov, A. K.: 1984,Soviet Astrophys. 22, 177.Google Scholar
  6. Mordant, M.: 1973, CEN-N1658.Google Scholar
  7. Siewert, C. E. and Thomas, J. R.: 1983,J. Nucl. Sci. Engng 81, 285.Google Scholar
  8. Siewert, C. F. and Thomas, J. R.: 1985,J. Quant. Spectr. Rad. Trans. 34, 59.Google Scholar
  9. Sobolev, V. V.: 1983,Soviet Phys. Dokl. 28, 908.Google Scholar
  10. Thynell, S. T. and Özisik, M. N.: 1985,J. Heat Trans. 107, 732.Google Scholar
  11. Tsai, J. R., Özisik, M. N., and Santarelli, F.: 1989,J. Quant. Spectr. Rad. Trans. 42, 187.Google Scholar
  12. Ueno, S., Kaziwedo, H., and Kalaba, R.: 1970,J. Math. Phys. 12, 1279.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • M. A. Madkour
    • 1
  • A. M. Elabsy
    • 1
  1. 1.Physics Department, Faculty of ScienceMansoura UniversityMansouraEgypt

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