Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method
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
Keywords:
MHD fluid, Homotopy Perturbation method, squeezing flowHow to Cite
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Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2008 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.