Title :
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
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;
Conference_Titel :
Engineering (NUiCONE), 2013 Nirma University International Conference on
Conference_Location :
Ahmedabad
Print_ISBN :
978-1-4799-0726-7
DOI :
10.1109/NUiCONE.2013.6780207
