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Modeling and analysis of unsteady axisymmetric squeezing fluid flow through porous medium channel with slip boundary.

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.

SUBMITTER: Qayyum M

PROVIDER: S-EPMC4349699 | biostudies-literature | 2015

REPOSITORIES: biostudies-literature

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Modeling and analysis of unsteady axisymmetric squeezing fluid flow through porous medium channel with slip boundary.

Qayyum Mubashir M Khan Hamid H Rahim M Tariq MT Ullah Inayat I

PloS one 20150304 3

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 ver ...[more]

PMID: 25738864

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Correction: modeling and analysis of unsteady axisymmetric squeezing fluid flow through porous medium channel with slip boundary.

Project description:[This corrects the article DOI: 10.1371/journal.pone.0117368.].

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Project description: Not available

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