DRBEM Solution of Incompressible MHD Flow with Magnetic Potential

Date

2013-12-01

Author

Pekmen, B.
Tezer, Münevver

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

174
views

0
downloads

The dual reciprocity boundary element method (DRBEM) formulation is presented for solving incompressible magnetohydrodynamic (MHD) flow equations. The combination of Navier-Stokes equations of fluid dynamics and Maxwell's equations of electromagnetics through Ohm's law is considered in terms of stream function, vorticity and magnetic potential in 2D. The velocity field and the induced magnetic field can be determined through the relations with stream function and magnetic potential, respectively. The numerical results are visualized for several values of Reynolds (Re), Hartmann (Ha) and magnetic Reynolds number (Rem) in a lid-driven cavity, and in a channel with a square cylinder. The well-known characteristics of the fluid flow and MHD flow are exhibited. These are the shift of the core region of the flow and the development of the main vortex in the vorticity through the center of the cavity as Re increases. An increase in Ha causes Hartmann layers for the flow at the bottom and top walls. Higher values of Rem result in circulation of the magnetic potential at the center of the cavity. An increase in Re causes symmetric vortices behind the cylinder to elongate through the channel, and an increase in Hartmann number suppresses this elongation.

Subject Keywords

Fow over a cylinder, Lid-driven cavity, DRBEM, MHD

URI

https://hdl.handle.net/11511/53457

Journal

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

DRBEM applications in fluid dynamics problems and DQM solutions of hyperbolic equations Pekmen, Bengisen; Tezer Sezgin, Münevver; Department of Scientific Computing (2014) In this thesis, problems of fluid dynamics defined by the two-dimensional convection-diffusion type partial differential equations (PDEs) are solved using the dual reciprocity boundary element method (DRBEM). The terms other than the Laplacian are treated as inhomogeneous terms in the DRBEM application. Once the both sides are multiplied by the fundamental solution of Laplace equation, and then integrated over the domain, all the domain integrals are transformed to boundary integrals using the Green's ident...
DRBEM simulation on mixed convection with hydromagnetic effect Bozkaya, Canan (2014-09-25) The steady and laminar mixed convection flow of a viscous, incompressible, and electrically conducting fluid under the effect of an inclined magnetic field is numerically investigated. Specifically, the two-dimensional flow in a lid-driven cavity with a linearly heated wall is considered. The dual reciprocity boundary element method is used for solving the coupled nonlinear differential equations in terms of stream function, vorticity, and temperature. The study focuses on the effects of the physical parame...
DRBEM Solution of MHD Flow with Magnetic Induction and Heat Transfer Pekmen, B.; Tezer, Münevver (2015-03-01) This study proposes the dual reciprocity boundary element (DRBEM) solution for full magnetohydrodynamics (MHD) equations in a lid-driven square cavity. MHD equations are coupled with the heat transfer equation by means of the Boussinesq approximation. Induced magnetic field is also taken into consideration. The governing equations in terms of stream function, temperature, induced magnetic field components, and vorticity are solved employing DRBEM in space together with the implicit backward Euler formula fo...
DRBEM solutions of Stokes and Navier-Stokes equations in cavities under point source magnetic field Senel, P.; Tezer, Münevver (2016-03-01) This paper describes an iterative dual reciprocity boundary element method (DRBEM) for the solutions of Stokes and Navier-Stokes equations in cavities under the effect of an external point source magnetic field placed very close to the bottom. The fluid is viscous, incompressible and electrically non-conducting but magnetizable, and the flow is steady, laminar and fully developed. Both the Stokes and Navier-Stokes equations are solved in terms of velocity and pressure of the fluid by using DRBEM. Pressure b...
DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid Tezer, Münevver; Bozkaya, Canan (2015-09-18) We present the dual reciprocity boundary element method (DRBEM) solution of the system of equations which model magnetohydrodynamic (MHD) flow in a pipe with moving lid at low magnetic Reynolds number. The external magnetic field acts in the pipe-axis direction generating the electric potential. The solution is obtained in terms of stream function, vorticity and electric potential in the cross-section of the pipe, and the pipe axis velocity is also computed under a constant pressure gradient. It is found th...

Citation Formats

B. Pekmen and M. Tezer, “DRBEM Solution of Incompressible MHD Flow with Magnetic Potential,” CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, pp. 275–292, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53457.