Generalised Separable Solution of Double Phase Flow through Homogeneous Porous Medium in Vertical Downward Direction Due to Difference in Viscosity

Authors

A. K. Parikh, Institute of Technology, Nirma University
M. N. Mehta, S.V. National Institute of Technology
V. H. Pradhan, S.V. National Institute of Technology

Abstract

In this paper the instability (fingering) phenomenon in a double phase immiscible (oil and water) flow through the homogeneous porous medium with mean capillary pressure in the vertical downward direction is discussed. The mathematical formulation of this problem yields a nonlinear partial differential equation and the generalised separable solution is given in the exponential form. The numerical solution and graphical presentation is given using MAT LAB coding.

Recommended Citation

Parikh, A. K.; Mehta, M. N.; and Pradhan, V. H. (2013). Generalised Separable Solution of Double Phase Flow through Homogeneous Porous Medium in Vertical Downward Direction Due to Difference in Viscosity, Applications and Applied Mathematics: An International Journal (AAM), Vol. 8, Iss. 1, Article 18.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/18