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A Problem Arising in Viscous Fingering Phenomenon in Two Phase Immiscible Flow with Singular Perturbation Technique

Author(s):

Shailesh S. Patel , S. V. M. Institute Of Technology, Bharuch (Gujarat), India

Keywords:

perturbation, fingering, immiscible, instability

Abstract

This paper discusses a well-known phenomenon of fingering which occurs in multi immiscible phase flow through homogeneous porous media. Many experiments shows that the instabilities depend on the mobility ratio and are more likely to occur if the mobility ratio is higher than 1. In fact injected fluids, that are more mobile than native fluid can cause harmful instabilities. The governing law of Darcy, governing equation of continuity and certain basic assumptions yields a nonlinear partial differential equation for motion of saturation of injecting fluid. The analytical solution is obtained by using perturbation technique.

Other Details

Paper ID: IJSRDV1I4055
Published in: Volume : 1, Issue : 4
Publication Date: 01/07/2013
Page(s): 1040-1042

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