Article Details

Equilibrium-State for Constant Concentration at Inlet Boundary in Porous Media Having Viscosity-Contrast | Original Article

Ashok Kumar, Anoop Kumar*, in Journal of Advances and Scholarly Researches in Allied Education | Multidisciplinary Academic Research

ABSTRACT:

In porous media, displacement flows where two fluids are different in viscosity is much important for industry and biological applications. Due to viscosity-contrast between the fluids, instability is developed at the interface which is known as viscous fingering instability. In this work, we discussed about the equilibrium solution of the viscous-fingering instability problem. Advection-diffusion equation is obtained in equilibrium state. Hence, advection-diffusion is discussed in this paper which is fundamental in understanding of in- stability problem. Our result shows that in the early time, solution is not symmetric about the fluid-fluid interface. Our finding suggest that equilibrium state is time-dependent.