Solitary wave form of reaction rate in graphite diffusive medium using different neutron absorbers

Authors

  • Seyede Nasrin Hosseinimotlagh Department of Physics, Shi.C., Islamic Azad University, Shiraz, Iran.
  • Kavoos Abbasi Department of Physics, College of Sciences, Yasouj University, Yasouj, 75918-74831, Iran.
  • Mohammad Ali. Zarei Department of Physics, Payame Noor University, Tehran, Iran.
  • abuzar shakeri Department of Physics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
  • Vahid Reza Rezaei Department of Physics, Shi.C., Islamic Azad University, Shiraz, Iran.
  • Jahangir Bayat Department of Physics, Shi.C., Islamic Azad University, Shiraz, Iran.
  • Hamid Reza Vanaie Department of Sciences, Bu.C., Islamic Azad University, Bushehr, Iran.

Keywords:

wave, absorber, diffusion, reaction rate, solitary wave, burnup

Abstract

Graphite nuclear properties such as moderating power and absorption cross-section, are not as good as those of heavy water. But its pure form can be prepared. Its structural and thermal properties are good and it has a high thermal conductivity. The thermal neutron in graphite performs an average of 1200 scattering collisions before it is absorbed. This very low absorption cross section makes graphite as an ideal material for applications in nuclear reactors. In the current research, graphite is assumed as a diffusive medium due to its low absorption cross-section (0.0035 barn) and having a low mass close to the neutron mass. In this medium: Boron (10B), Cadmium (113Cd), Samarium (149Sm), Europium (151Eu), Hafnium (177Hf) and Gadolinium (157Gd), separately are also considered as neutron absorbers. The aim of this paper is obtaining the solitary wave form of reaction rate in graphite diffusive medium using these neutron absorbers

References

J S Russell, Report on waves: made to the meetings of the British association in 1842 (2018)

D J Korteweg, G Xli De Vries, Edinburgh Dublin Phil Mag J Sci.39,240, 422 (1895)

N J Zabusky, M D Kruskal, Phys Rev. 15,6 240 (1965)

R Herman, Am Sci.;80, 4 350 (1992)

C S Gardner, J M Greene, M D Kruskal, R M Miura, Phys Rev. 19,19 1095 (1967)

M Wadati, Pramana ,57 5841 (2001)

B Sandstede, In: Handbook of Dynamical Systems. Elsevier, 983 (2002)

J M Curry, Math Rev. 43 (2002)

A Kasman, Current Sci. 115,8 00113891 (2018)

A Bæcklund, D Weston, Royal Institute of Technology; (2010)

W Hereman, arXiv preprint arXiv:1308.5383 (2013)

R Hirota, Cambridge University Press; (2004)

S Manukure, Y Zhou, W X Ma, Comput. Math Appl. 75,7 2414 (2018)

S Turitsyn, A Mikhailov, Elsevier; 1741 (2002)

K Prosimian, V C Kuriakose, Springer Science & Business Media; 613 (2003)

H Kuwayama, S Ishida, Sci Rep. 3,1 1 (2013)

N J Zabusky, M A Porter, Scholarpedia. 5,8 2068 (2010)

S Manukure, Y Zhou, Internat J Modern Phys B. 33,07 1950038 (2019)

W X Ma, Z Qin, X Lu, Nonlinear Dynam. 84,2 923 (2016)

S T Chen, W X Ma, Front Math China. 13,3 (2018)

N J Zabusky and M D Kruskal, Phys. Rev. 15,6 240 (1965)

V I Pavlov, V D Sidorenko, N.E. Pozdnyakov, Atom Energy. 73,6 977 (1992)

W H Bachman, R P Harris, R A Matzie, T Am Nucl Soc. 47 68 (1984)

F J Frank, L R Scherpereel, T Am Nucl Soc. 40 191 (1982)

P K Doshi, W L Orr, D Rombouts, T Am Nucl Soc 40 188 (1982)

G A Sofer, T Am Nucl Soc 40 183 (1982)

F B Skogen, R B Stout, G A Sofer, T Am Nucl Soc 39 401 (1981)

S Kalcheva, G V D Branden, International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Korean Nuclear Society, Jeju, Korea (2017)

N Franck, S Kalcheva, E Koonen, Proceedings of the 13th International Topical Meeting on Research Reactor Fuel Management, Vienna, Austria (2009)

S Kalcheva, G V D Branden, E Koonen, Prague, Czech Republic (2012)

W Chubb, in: U. States (Ed.) CBS Corp, United States (1986)

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Published

2025-08-31

How to Cite

Hosseinimotlagh, S. N., Abbasi, K., Zarei, M. A., shakeri, abuzar, Rezaei, V. R., Bayat, J., & Vanaie, H. R. (2025). Solitary wave form of reaction rate in graphite diffusive medium using different neutron absorbers. Jordan Journal of Physics, 18(3), 399–410. Retrieved from https://jjp.yu.edu.jo/index.php/jjp/article/view/247