Some Exact Solutions of Boundary Layer Flows along a Vertical Plate with Buoyancy Forces Combined with Lorentz Forces under Uniform Suction. (21st October 2008)

• Record Type: Journal Article
• Authors: Pantokratoras, Asterios
• Other Names: Ecker Horst Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2008(2008)
• Publication Date: 2008-10-21
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2008/149272
• Languages: English
• ISSNs: 1024-123X

Abstract

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 of0 C ∘ ≤ T ≤ 8 C ∘, 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.