Existence and Uniqueness Theorem for the Flow of two Immiscible Fluids Through Porous Media with Decreasing Exponential Saturation

Authors

  • Pandya Parth M  Research Scholar, Pacific University, Udaipur, Rajasthan, India
  • Dr. Gajendra Purohit  Director, 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:

Physical Phenomenon, Linear Partial Differential Equation

Abstract

We are able to find a wide variety of physical phenomenon from the domain of natural sciences in which exponential decays occurs. In the present paper, we have considered the decreasing exponential saturation function for the flow of two immiscible fluids through porous media. The partial differential equation arises for the flow of two immiscible fluids through porous medium with decreasing exponential saturation yields a non-linear partial differential equation of parabolic nature. Such equations are very difficult to solve analytically. The present paper describes the existence and uniqueness of similarity of this type of equations.

References

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International Journal of Scientific Research in Science and Technology

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Published

2020-12-30

Issue

Volume 7, Issue 6, November-December-2020

Section

Research Articles

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How to Cite

[1]
Pandya Parth M, Dr. Gajendra Purohit, Dr. P. H. Bhathawala "Existence and Uniqueness Theorem for the Flow of two Immiscible Fluids Through Porous Media with Decreasing Exponential Saturation" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 7, Issue 6, pp.472-482, November-December-2020.