Modeling and analysis of unsteady axisymmetric squeezing fluid flow through porous medium channel with slip boundary.
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.
Department of Mathematics, National University of Computer & Emerging Sciences - FAST Peshawar Campus, Peshawar, 25000, Pakistan.
Mubashir
M
Qayyum
Department of Mathematics, National University of Computer & Emerging Sciences - FAST Peshawar Campus, Peshawar, 25000, Pakistan.
Hamid
H
Khan
Department of Mathematics, National University of Computer & Emerging Sciences - FAST Peshawar Campus, Peshawar, 25000, Pakistan.
M Tariq
MT
Rahim
Department of Mathematics, National University of Computer & Emerging Sciences - FAST Peshawar Campus, Peshawar, 25000, Pakistan.
Inayat
I
Ullah
D057446:Hydrodynamics; D008962:Models, Theoretical; D016062:Porosity