Application of Continuous Group Transforming to Fingero-Imbibition Phenomenon in Porous Media

Authors

  • Patel Dharmendra G  Research Scholar, Pacific University, Udaipur, Rajasthan, India
  • Dr. Ritu Khanna  Professor, Pacific College of Basic & Applied Sciences, Pacific University, Udaipur , Rajasthan, India
  • Dr. P. H. Bhathawala  Professor, Department of Mathematics, V.N.S.G. University, Surat, Gujarat, India

Keywords:

Finger-Imbibition, Transcendental Functions, Homogeneous Porous Medium

Abstract

The non-linear partial differential equation of a parabolic type governing the phenomenon of finger-imbibition in polyphase fluid flow through a homogeneous porous medium with capillary pressure has been discussed using the one parameter continuous group transformation. An analytical solution for average cross sectional area occupied by fingers has been obtained in terms of transcendental functions.

References

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International Journal of Scientific Research in Science and Technology

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Published

2020-02-25

Issue

Volume 7, Issue 1, January-February-2020

Section

Research Articles

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How to Cite

[1]
Patel Dharmendra G, Dr. Ritu Khanna, Dr. P. H. Bhathawala, " Application of Continuous Group Transforming to Fingero-Imbibition Phenomenon in Porous Media, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 7, Issue 1, pp.300-305, January-February-2020.