The present paper deals with the approximate solution of the fingering phenomenon occurring when water is pushed into oil in homogeneous porous media with capillary mean pressure. The phenomenon is formulated mathematically as a water-oil double phase flow problem. The solution of the nonlinear partial differential equation of fingering phenomenon has been discussed in terms of the power series using appropriate boundary conditions for any timeT>0 . The solution is in ascending power series which represents saturation of injected fluid in fingering phenomenon & its graphical and numerical presentation is given in MATLAB coding.
Patel, Kinjal; Mehta, M. N.; and Patel, Twinkle R.
The Power Series Solution of Fingering Phenomenon Arising in Fluid Flow through Homogeneous Porous Media,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
2, Article 7.
Available at: https://digitalcommons.pvamu.edu/aam/vol6/iss2/7