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.
Parikh, A. K.; Mehta, M. N.; and Pradhan, V. H.
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,
1, Article 18.
Available at: https://digitalcommons.pvamu.edu/aam/vol8/iss1/18