Share:


Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method

    Abdul M. Siddiqui Affiliation
    ; Sania Irum Affiliation
    ; Ali R. Ansari Affiliation

Abstract

The present paper analyses the unsteady 2‐dimensional flow of a viscous MHD fluid between two parallel infinite plates. The two infinite plates are considered to be approaching each other symmetrically, causing the squeezing flow. A similarity transformation is used to reduce the partial differential equations modeling the flow, to a single fourth‐order non‐linear differential equation containing the Reynolds number and the magnetic field strength as parameters. The velocity functions are obtained for a range of values of both parameters by using the homotopy perturbation method. The total resistance to the upper plate is presented.


First Published Online: 14 Oct 2010

Keyword : MHD fluid, Homotopy Perturbation method, squeezing flow

How to Cite
Siddiqui, A., Irum, S., & Ansari, A. (2008). Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method. Mathematical Modelling and Analysis, 13(4), 565-576. https://doi.org/10.3846/1392-6292.2008.13.565-576
Published in Issue
Dec 31, 2008
Abstract Views
54
PDF Downloads
40