Open AccessUNSTEADY SQUEEZING FLOW OF A VISCOUS MHD FLUID BETWEEN PARALLEL PLATES, A SOLUTION USING THE HOMOTOPY PERTURBATION METHOD
Author(s) -
A. M. Siddiqui,
Shamaila Irum,
Ali Ansari
Publication year - 2008
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/1392-6292.2008.13.565-576
Subject(s) - homotopy analysis method , magnetohydrodynamics , mathematics , matrix similarity , partial differential equation , reynolds number , perturbation (astronomy) , viscous liquid , flow (mathematics) , mathematical analysis , mechanics , magnetic reynolds number , magnetic field , classical mechanics , homotopy , physics , geometry , turbulence , quantum mechanics , pure mathematics
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.