Approximate Analysis of MHD Squeeze Flow between Two Parallel Disks with Suction or Injection by Homotopy Perturbation Method

By G. Domairry, Abdul Aziz. 2009

217 citations recorded by the source corpus.

An analysis has been performed to study magneto-hydrodynamic (MHD) squeeze flow between two parallel infinite disks where one disk is impermeable and the other is porous with either suction or injection of the fluid. We investigate the combined effect of inertia, electromagnetic forces, and suction or injection. With the introduction of a similarity transformation, the continuity and momentum equations governing the squeeze flow are reduced to a single, nonlinear, ordinary differential equation. An approximate solution of the equation subject to the appropriate boundary conditions is derived using the homotopy perturbation method (HPM) and compared with the direct numerical solution (NS). Results showing the effect of squeeze Reynolds number, Hartmann number and the suction/injection parameter on the axial and radial velocity distributions are presented and discussed. The approximate solution is found to be highly accurate for the ranges of parameters investigated. Because of its simplicity, versatility and high accuracy, the method can be applied to study linear and nonlinear boundary value problems arising in other engineering applications.

Subfields: Biomedical Engineering, Mechanical Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/7ad2b2f6a786fd432fe3fcb7390ebe0fb8ffa68a

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In Biomedical Engineering

In Mechanical Engineering

In Modeling and Simulation

Citations in the corpus

On heat and mass transfer in the unsteady squeezing flow between parallel plates (2012, methodology): “Magnetohydrodynamic squeezing flow of a viscous fluid between parallel disks was analyzed by Domairry and Aziz [2].”