Abstract
The aim of this article is to model and analyze an unsteady axisymmetric flow of non-conducting, Newtonian fluid squeezed between two circular plates passing through porous medium channel with slip boundary condition. A single fourth order nonlinear ordinary differential equation is obtained using similarity transformation. The resulting boundary value problem is solved using Homotopy Perturbation Method (HPM) and fourth order Explicit Runge Kutta Method (RK4). Convergence of HPM solution is verified by obtaining various order approximate solutions along with absolute residuals. Validity of HPM solution is confirmed by comparing analytical and numerical solutions. Furthermore, the effects of various dimensionless parameters on the longitudinal and normal velocity profiles are studied graphically.
Highlights
The interest in behavior of fluid flow through porous media began in the early days of oil and gas production, where the focus was on estimating and optimizing production
We considered an unsteady axisymmetric squeezing flow of incompressible Newtonian fluid passing through porous medium with slip boundary condition
We check the validity of Homotopy Perturbation Method (HPM) solutions by comparing analytical and numerical solutions
Summary
The interest in behavior of fluid flow through porous media began in the early days of oil and gas production, where the focus was on estimating and optimizing production. Another important application is the simulation of ground water pollution, mostly occurring due to leakage of chemicals from tanks and oil pipelines. Some practical applications in these fields include chemical reactors, filtration, geothermal reservoirs, ground water hydrology, drainage and recovery of crude oil from pores of reservoir rocks [2,3,4,5,6,7]. Practical applications of squeezing flows in these fields are polymer processing, PLOS ONE | DOI:10.1371/journal.pone.0117368 March 4, 2015
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
