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

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.


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...
Numerical solution of magnetohydrodynamic flow problems using the boundary element method
Tezer, Münevver (2005-03-18)
A boundary element solution is given for a magnetohydrodynamic (MHD) flow problem in a rectangular duct having insulating walls, in terms of velocity and induced magnetic field. The coupled velocity and magnetic field equations are first transformed into decoupled nonhomogeneous convection-diffusion type equations and then finding particular solutions, the homogeneous equations are solved using the boundary element method (BEM). The fundamental solutions of the decoupled homogeneous equations themselves are...
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 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...
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...
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: