37
Views
0
CrossRef citations to date
0
Altmetric
Article

Study of Forward and Backward Scattering in Two-Region Milne Problem for Non-absorbing Medium Using a Synthetic Kernel

, , &

References

  • Abdel Krim, M. S., and A. R. Degheidy. 1998. Variational approach to the milne problem with a specular and diffuse reflecting boundary. Ann. Nucl. Energy 25 (4–5):317–25. doi:10.1016/S0306-4549(97)00032-7
  • Bell, G. I., and S. Glasstone. 1972. Nuclear reactor theory. New York: Van Nostrand Reinhold.
  • Case, K. M., and P. F. Zweifel. 1967. Linear transport theory. Addison-Wesley Reading, Mass.
  • El-Depsy, A., D. A. Gharbiea, and M. S. Abdel Krim. 2005. Albedo problem in anisotropic semi-infinite medium. JQSRT 94 (3–4):491–506. doi:10.1016/j.jqsrt.2004.09.021
  • El-Wakil, S. A., A. R. Degheidy, H. M. Machali, and A. El-Depsy. 2001. Radiative transfer in a spherical medium. JQSRT 69 (1):49–59. doi:10.1016/S0022-4073(00)00061-3
  • Ersoy, A., G. Türeci, M. Şenyiğit, and M. Ç. Güleçyüz. 2019. Modified FN solution of the neutron transport equation for the Milne problem with FBIS kernel. Indian J. Phys. 93 (9):1195–201. doi:10.1007/s12648-019-01374-1
  • Francis, N. C, et al. 1958. Variational solutions of the transport equation. In: Proceedings of the Conference Peaceful Uses of Atomic Energy, IAEA, Geneva, 15/P/627
  • Ganapol, B. D., and G. C. Pomraning. 1996. The two-region Milne problem. Nucl. Sci. Eng 123 (1):110–20. doi:10.13182/NSE96-A24216
  • Haggag, M. H., and H. F. Machali. 2014. A semi-analytical solution to milne problem in the case of multiple synthetic scattering. Iosrjap. 6 (6):11–6. doi:10.9790/4861-06631116
  • Haggag, M. H., and H. F. Mashali. 2013. A high accuracy approximation for half - space problems with anisotropic scattering. Iosr-Jap. 4 (1):37–41. doi:10.9790/4861-0413741
  • Hussein, A., and M. M. Selim. 2010. App. Math. and Com. Phys 216:10.
  • Inonü, E. 1973. Transp. Theory Stat. Phys 3:137–47.
  • Milne, E. A. 1921. Radiative equilibrium in the outer layers of a star. Month. Notices Roy Astronom Soc 81 (5):361–75. doi:10.1093/mnras/81.5.361
  • Placzek, G., and W. Seidel. 1947. Milne’s problem in transport theory. Phys. Rev. 72 (7):550–5. doi:10.1103/PhysRev.72.550
  • RaziNaqvi, K. 1993. J. Quant. Spectrosc. Radiat. Transf 50:59.
  • Shure, F., and M. Nateson. (1975) 1975. Ann. Phys 26:27.
  • Siewert, C. E., and C. Devaux. 1978. The effect of forward and backward scattering on the law of darkening for the Milne problem and the spherical albedo. JQSRT 20 (1):29–33. doi:10.1016/0022-4073(78)90003-1
  • Slama, H., N. A. El-Bedwhey, A. El-Depsy, and M. M. Selim. 2017. The Europ. Phys J Plus 132:505.
  • Tureci, R. G. 2020. Half-space albedo problem for İnönü, linear and quadratic anisotropic scattering. Nucl. Eng. and Tech 52 (4):700–7. doi:10.1016/j.net.2019.10.008
  • Williams, M. M. R. 1965. Neutron flux perturbations due to infinite plane absorbers I. Spatially constant source. Proc. Phys. Soc. 85 (3):413–33. doi:10.1088/0370-1328/85/3/303
  • Williams, M. M. R. 1975. Atom. Kern. Energie 25:19.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.