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Solution of the Burger’s Equation for Longitudinal Dispersion Phenomena Occurring in Miscible Phase Flow through Porous Media
Mitesh S. Joshi1, Narendrasinh B. Desai2 & Monika N. Mehta3
1 Department of Mathematics, C.K. Pithawala College of Engineering and Technology, Surat-395 007, India
2 Department of Mathematics, A.D.Patel Institute of Technology,
New V.V.Nagar -388121, India
3Professor Department of Mathematics, S.V. National Institute of
Technology, Surat- 395 007, India
Email: mitesh joshi2003@yahoo.com
Abstract. An approximate solution of longitudinal dispersion phenomena occurring in two phase miscible fluid flow through porous media has been obtained by using the group theoretic approach. The longitudinal dispersion coefficient is assumed to be directly proportional to the concentration of the fluid for a distance x and at any time t > 0. The graphical representation for the concentration of the fluid for a distance x and at time t > 0 has been obtained using Mat lab coding.
Keywords: longitudinal dispersion, Burger’s equation, Riccati equation,
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