Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 87814, 14 pages
doi:10.1155/2007/87814
Research Article
Some New Parallel Flows in Weakly Conducting Fluids with
an Exponentially Decaying Lorentz Force
School of Engineering, Democritus University of Thrace, Xanthi 67100, Greece
Received 8 March 2007; Revised 27 May 2007; Accepted 19 September 2007
Academic Editor: Mehrdad Massoudi
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.
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.