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

A. M. Siddiqui, S. Irum, A. R. Ansari

Research output: Contribution to journalArticlepeer-review

93 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)565-576
Number of pages12
JournalMathematical Modelling and Analysis
Volume13
Issue number4
DOIs
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Analysis
  • Modeling and Simulation

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