Flow Characteristics of Fluid Flow Through Multilayer Porous Media Using the Homotopy Analysis Method
Multi-layer flows through multi-layer porous media can be found in several applications in science and
engineering. Examples of these flows are the flow of ground water and oil. The problem has received a great deal of research
in the past few years. In this work, we present a new method to solve the multi-layer boundary value problem associated
with this flow phenomena.
We will consider the flow through four channels with finite depth. The method to be used is the homotopy analysis method.
The flow is assumed to be modeled by DLB model. We will assume that these layers have different permeability. The
results obtained suggest that the method is reliable and very efficient.
Keywords- Multi-layer flows, Porous Media, Homotopy Analysis Method, Boundary Value Problems.