MHD Stokes flow in lid-driven cavity and backward-facing step channel

Gurbuz, Merve
Tezer, Münevver
The 2D Magnetohydrodynamics Stokes flow equations are solved in a lid-driven cavity and backward-facing step channel in the presence of a uniform magnetic field with different orientations. The hydrodynamic and electromagnetic equations are solved simultaneously using Stokes approximation in terms of velocity, pressure, stream function and vorticity with an iterative procedure. The radial basis function approximations are used to terms other than diffusion satisfying the boundary conditions at the same time, and obtaining not only the particular solution but the solution itself. It is found that as the strength of the applied magnetic field increases, boundary layers are formed close to the moving lid and in the separation region of main and secondary flows in the lid-driven cavity. In the step flow, an increase in Hartmann number causes the enlargement of recirculation flow in front of the step and the fully developed flow after the step when magnetic field applies horizontally, whereas y-direction magnetic field helps to diminish this recirculation. Pressure increases in the channel with increasing magnetic effect. The solution is obtained easily in a considerably low-computational cost through the use of radial basis function approximation.


Thermal convection in the presence of a vertical magnetic field
Guray, E.; Tarman, H. I. (Springer Science and Business Media LLC, 2007-11-01)
The interaction between thermal convection and an external uniform magnetic field in the vertical is numerically simulated within a computational domain of a horizontally periodic convective box between upper and lower rigid plates. The numerical technique is based on a spectral element method developed earlier to simulate natural thermal convection. In this work, it is extended to a magnetoconvection problem. Its main features are the use of rescaled Legendre-Lagrangian polynomial interpolants in expanding...
Fully Coupled Smoothed Particle Hydrodynamics-Finite Element Method Approach for Fluid-Structure Interaction Problems With Large Deflections
Dincer, A. Ersin; Demir, Abdullah; Bozkuş, Zafer; Tijsseling, Arris S. (ASME International, 2019-08-01)
In this study, a combination of the smoothed particle hydrodynamics (SPH) and finite element method (FEM) solving the complex problem of interaction between fluid with free surface and an elastic structure is studied. A brief description of SPH and FEM is presented. Contact mechanics is used for the coupling between fluid and structure, which are simulated with SPH and FEM, respectively. In the proposed method, to couple meshfree and mesh-based methods, fluid and structure are solved together by a complete ...
FEM solution of natural convection flow in square enclosures under magnetic field
Turk, O.; Tezer, Münevver (Emerald, 2013-01-01)
Purpose - The purpose of the paper is to obtain finite element method (FEM) solution of steady, laminar, natural convection flow in inclined enclosures in the presence of an oblique magnetic field. The momentum equations include the magnetic effect, and the induced magnetic field due to the motion of the electrically conducting fluid is neglected. Quadratic triangular elements are used to ensure accurate approximation for second order derivatives of stream function appearing in the vorticity equation.
Tezer, Münevver (Wiley, 1988-06-01)
In Sezgin1,2 the problems considered are the magnetohydrodynamic (MHD) flows in an electrodynamically conducting infinite channel and in a rectangular duct respectively, in the presence of an applied magnetic field. In the present paper we extend the solution procedure of these papers to two rectangular channels connected by a barrier which is partially conductor and partially insulator. The problem has been reduced to the solution of a pair of dual series equations and then to the solution of a Fredholm's ...
Tezer, Münevver (Wiley, 1994-05-30)
The magnetohydrodynamic (MHD) flow of an incompressible, viscous, electrically conducting fluid in a rectangular duct with an external magnetic field applied transverse to the flow has been investigated. The walls parallel to the applied magnetic field are conducting while the other two walls which are perpendicular to the field are insulators. The boundary element method (BEM) with constant elements has been used to cast the problem into the form of an integral equation over the boundary and to obtain a sy...
Citation Formats
M. Gurbuz and M. Tezer, “MHD Stokes flow in lid-driven cavity and backward-facing step channel,” EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, pp. 279–301, 2015, Accessed: 00, 2020. [Online]. Available: