Mathematical Problems in Engineering 
Volume 2008 (2008), Article ID 149272, 18 pages
doi:10.1155/2008/149272
Research Article

Some Exact Solutions of Boundary Layer Flows along a Vertical Plate with Buoyancy Forces Combined with Lorentz Forces under Uniform Suction

Asterios Pantokratoras

 Department of Civil Engineering, School of Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
Received 19 September 2007; Revised 2 May 2008; Accepted 7 August 2008

Recommended by Horst Ecker

Abstract

Exact analytical solutions of boundary layer flows along a vertical porous plate with uniform suction are derived and presented in this paper. The solutions concern the Blasius, Sakiadis, and Blasius-Sakiadis flows with buoyancy forces combined with either MHD Lorentz or EMHD Lorentz forces. In addition, some exact solutions are presented specifically for water in the temperature range of 0C∘≤T≤8C∘, where water density is nearly parabolic. Except for their use as benchmarking means for testing the numerical solution of the Navier-Stokes equations, the presented exact solutions with EMHD forces have use in flow separation control in aeronautics and hydronautics, whereas the MHD results have applications in process metallurgy and fusion technology. These analytical solutions are valid for flows with strong suction.