Mathematical modeling and analysis of Fingero-Imbibition phenomenon in vertical downward cylindrical homogeneous porous matrix

Author

Parikh, A.K. ; Mehta, M.N. ; Pradhan, V.H.

Author_Institution

Dept. of Math. & Humanities, Nirma Univ., Ahmedabad, India

fYear

2013

Firstpage

1

Lastpage

6

Abstract

This paper focuses on the compound phenomenon of Instability and Imbibition called Fingero-Imbibition phenomenon arising in two immiscible phase (oil and water) flow through homogeneous porous media in vertical downward direction. Mathematical formulation leads to non linear partial differential equation. The analytical solution is obtained by using generalised separable method in terms of quadratic polynomial by using appropriate boundary conditions and its physical interpretation is given with numerical tabulated values and graphical presentation.

Keywords

flow instability; flow through porous media; nonlinear differential equations; partial differential equations; two-phase flow; fingero-imbibition phenomenon; generalised separable method; immiscible phase; instability; mathematical modeling; nonlinear partial differential equation; oil-water flow; quadratic polynomials; vertical downward cylindrical homogeneous porous matrix; Equations; Fingers; Fluids; Mathematical model; Media; Partial differential equations; Shape; Fingero-Imbibition; Generalised separable method; Homogeneous porous medium; Imbibition; Immiscible; Instability;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering (NUiCONE), 2013 Nirma University International Conference on

Conference_Location

Ahmedabad

Print_ISBN

978-1-4799-0726-7

Type

conf

DOI

10.1109/NUiCONE.2013.6780207

Filename

6780207