A numerical investigation of the liquid flow velocity over an infinity plate which is taking place in a magnetic field

Article type: Research Article

Authors: Bahadir, A.R.^{a; *} | Abbasov, T.^b

Affiliations: [a] İnönü University, Faculty of Arts and Sciences, Department of Mathematics, 44280, Malatya, Turkey | [b] İnönü University, Engineering Faculty, Department of Electrical and Electronics, 44280, Malatya, Turkey

Correspondence: [*] Corresponding author. E-mail: arbahadir@inonu.edu.tr

Abstract: In this paper the change of the magnetohydrodynamic flow velocity of the infinite plate in the non stationary motion of the incompressible viscous liquid has been studied numerically. Outer magnetic field has been directed perpendicular to the plate and assumed moving with the plate. For the different dynamical motion of the plate, the evolution of the velocity has been investigated numerically. The magnetic field induction and the changing of the parameters of the dynamical system on a large range effect to the velocity has been investigated. At a specific point increasing of the magnetic field induction causes decreasing in the velocity. By the increasing the parameters of the manyetohydrodinamic system, the problem becomes more difficult to solve analytically. Therefore, a numerical solution technique is resorted to solve the problem approximately.

Keywords: magnetic liquid, flow velocity, magnetohydrodynamic, finite difference

DOI: 10.3233/JAE-2005-653

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 21, no. 1, pp. 1-10, 2005