Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 87814, 14 pages
doi:10.1155/2007/87814
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.