A numerical solution of the steady MHD flow through infinite strips with BEM

2012-04-01
The magnetohydrodynamic (MHD) flow of an incompressible, viscous, electrically conducting fluid in infinite channels in the presence of a magnetic field is investigated. The fluid is driven either by a pressure gradient or by the currents produced by electrodes placed parallel in the middle of the walls. The applied magnetic field is perpendicular to the infinite walls which are combined from conducting and insulated parts. A boundary element method (BEM) solution has been obtained by using a fundamental solution which enables to threat the convection-diffusion type equations in coupled form with general wall conductivities. Constant elements are used for the discretization of the walls by keeping them as finite since the boundary integrals are restricted to these boundaries due to the regularity conditions as x,y -> +/- infinity. The solutions are presented in terms of equivelocity and induced magnetic field contours for several values of Hartmann number and conducting lengths. The effect of the parameters on the solution is visualized.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Suggestions

A Numerical approach for the solutions of fluid dynamics problems in the presence of magnetic field
Oğlakkaya, Fatma Sidre; Bozkaya, Canan; Department of Mathematics (2018)
This thesis is conducted to investigate numerically the two-dimensional steady or unsteady, laminar flow of viscous, incompressible and electrically conducting fluids in complex geometries subject to either uniform inclined magnetic field or nodal magnetic sources. Specifically, the hydromagnetic natural/mixed convection of either conventional fluid or water-based nanofluid flow and the heat transfer are considered in irregular enclosures with wavy walls. The equations governing the steady magnetohydrodynam...
A DRBEM solution for MHD pipe flow in a conducting medium
Han Aydın, S.; Tezer, Münevver (Elsevier BV, 2014-3)
Numerical solutions are given for magnetohydrodynamic (MHD) pipe flow under the influence of a transverse magnetic field when the outside medium is also electrically conducting. Convection-diffusion-type MHD equations for inside the pipe are coupled with the Laplace equation defined in the exterior region, and the continuity requirements for the induced magnetic fields are also coupled on the pipe wall. The most general problem of a conducting pipe wall with thickness, which also has magnetic induction gene...
A direct BEM solution to MHD flow in electrodynamically coupled rectangular channels
Bozkaya, Canan; Tezer, Münevver (2012-08-15)
Magnetohydrodynamic flows in coupled rectangular channels are numerically investigated under an external, horizontally applied magnetic field. The flows are driven by constant pressure gradients in the channels, which are separated with a thin partly insulating and partly conducting barrier. A direct boundary element formulation is utilized to solve these two-dimensional steady, convection-diffusion type coupled partial differential equations in terms of velocity and induced magnetic fields. The resulting s...
BEM solution to magnetohydrodynamic flow in a semi-infinite?duct
Bozkaya, Canan; Tezer, Münevver (2012-09-30)
We consider the magnetohydrodynamic flow that is laminar and steady of a viscous, incompressible, and electrically conducting fluid in a semi-infinite duct under an externally applied magnetic field. The flow is driven by the current produced by a pressure gradient. The applied magnetic field is perpendicular to the semi-infinite walls that are kept at the same magnetic field value in magnitude but opposite in sign. The wall that connects the two semi-infinite walls is partly non-conducting and partly condu...
Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow
Sellier, A.; AYDIN, SELÇUK HAN; Tezer, Münevver (2014-12-01)
The fundamental free-space 2D steady creeping MHD flow produced by a concentrated point force of strength g located at a so-called source point x(0) in an unbounded conducting Newtonian liquid with uniform viscosity mu and conductivity sigma > 0 subject to a prescribed uniform ambient magnetic field B = Be-1 is analytically obtained. More precisely, not only the produced flow pressure p and velocity u but also the resulting stress tensor field sigma are expressed at any observation point x not equal x(0) in...
Citation Formats
C. Bozkaya and M. Tezer, “A numerical solution of the steady MHD flow through infinite strips with BEM,” ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, pp. 591–599, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40427.