BEM solution of MHD flow in a pipe coupled with magnetic induction of exterior region

Date

2013-05-01

Author

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

205
views

0
downloads

In this paper, numerical solutions are presented for the MHD flow in a pipe surrounded by an electrically conducting medium, and under the influence of a transverse magnetic field. The boundary element method is used which discretizes only the pipe wall and is suitable for the infinite exterior region. Coupled MHD equations for the velocity and induced magnetic field inside the pipe, and the induced magnetic field equation for the outside medium are solved simultaneously taking into account also coupled boundary conditions on the pipe wall for exterior and interior magnetic fields. The boundary integral equation in the exterior region is restricted to the boundary of the pipe due to the regularity condition at infinity. Numerical results indicate that the coupling of BEM approaches for inside and outside regions has the ability to produce satisfactory results even the ratio of fluid magnetic Reynolds number to external medium magnetic Reynolds number reaches to 500. Computations are also carried out for different Reynolds numbers and values of magnetic pressure of the fluid in the pipe.

Subject Keywords

MHD pipe flow, BEM, BOUNDARY-ELEMENT METHOD, MAGNETOHYDRODYNAMIC FLOW, RECTANGULAR DUCT, FIELD

URI

https://hdl.handle.net/11511/40802

Journal

COMPUTING

DOI

https://doi.org/10.1007/s00607-012-0270-4

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

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...
Numerical Solution and Stability Analysis of Transient MHD Duct Flow Tezer, Münevver (2018-11-01) This paper simulates the 2D transient magnetohydrodynamic (MHD) flow in a rectangular duct in terms of the velocity of the fluid and the induced magnetic field by using the radial basis function (RBF) approximation. The inhomogeneities in the Poisson’s type MHD equations are approximated using the polynomial functions (1+r) and the particular solution is found satisfying both the equations and the boundary conditions (no-slip and insulated walls). The Euler scheme is used for advancing the solution to ste...
BEM SOLUTIONS OF MAGNETOHYDRODYNAMIC FLOW EQUATIONS UNDER THE TIME AND AXIAL-DEPENDENT MAGNETIC FIELD Ebren Kaya, Elif; Tezer, Münevver; Department of Mathematics (2021-9-6) In the thesis, four different MHD duct flow problems are solved by using the Dual Reciprocity Boundary Element Method (DRBEM) with the suitable boundary conditions according to the physics of the problem. The two-dimensional, steady or unsteady, fully-developed MHD flow of a viscous, incompressible and electrically conducting fluid is considered in a long pipe of rectangular cross-section (duct) under the effect of an externally applied magnetic field which is either uniform or time-dependent or axially ch...
Magnetohydrodynamic Flow in a Rectangular Duct Bozkaya, Canan (2018-12-02) The magnetohydrodynamic (MHD) flow of an incompressible, viscous and electrically conducting fluid in a rectangular duct with insulated and perfectly conducting walls is investigated numerically in the presence of hydrodynamic slip. The flow is fully developed and driven by a constant pressure gradient in the axial direction under the effect of an externally applied uniform and inclined magnetic field. A direct boundary element method (BEM) using a fundamental solution which enables to treat the governing M...
Magnetohydrodynamic Flow in a Rectangular Duct Bozkaya, Canan (2017-08-25) The magnetohydrodynamic (MHD) flow of an incompressible, viscous and electrically conducting fluid in a rectangular duct with insulated and perfectly conducting walls is investigated numerically in the presence of hydrodynamic slip. The flow is fully developed and driven by a constant pressure gradient in the axial direction under the effect of an externally applied uniform and inclined magnetic field. A direct boundary element method (BEM) using a fundamental solution which enables to treat the governing M...

Citation Formats

M. Tezer, “BEM solution of MHD flow in a pipe coupled with magnetic induction of exterior region,” COMPUTING, pp. 0–0, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40802.