Some New Parallel Flows in Weakly Conducting Fluids with 
      an Exponentially Decaying Lorentz Force

Pantokratoras, Asterios

doi:https://doi.org/10.1155/2007/87814

Mathematical Problems in Engineering

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Research Article | Open Access

Volume 2007 | Article ID 087814 | https://doi.org/10.1155/2007/87814

Some New Parallel Flows in Weakly Conducting Fluids with an Exponentially Decaying Lorentz Force

Asterios Pantokratoras¹

Academic Editor: Mehrdad Massoudi

Received08 Mar 2007

Revised27 May 2007

Accepted19 Sept 2007

Published25 Dec 2007

Abstract

We investigate the fully developed flow between two parallel plates and the film flow over a plate in an electrically conducting fluid under the action of a parallel Lorentz force. The Lorentz force varies exponentially in the vertical direction due to low-fluid electrical conductivity and the special arrangement of the magnetic and electric fields at the lower plate. Exact analytical solutions are derived for velocity, flow rate, and wall shear stress at the plates. The velocity results are presented in figures. All these flows are new and are presented for the first time in the literature.

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Copyright © 2007 Asterios Pantokratoras. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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