A DRBEM solution for MHD pipe flow in a conducting medium

Date

2014-3

Author

Han Aydın, S.
Tezer, Münevver

Metadata

Show full item record

Item Usage Stats

256
views

0
downloads

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 generated by the effect of an external magnetic field, is also solved. The dual reciprocity boundary element method (DRBEM) is applied directly to the whole coupled equations with coupled boundary conditions at the pipe wall. Discretization with constant boundary elements is restricted to only the boundary of the pipe due to the regularity conditions at infinity. This eliminates the need for assuming an artificial boundary far away from the pipe, and then discretizing the region below it. Thus, the computational efficiency of the proposed numerical procedure lies in the solving of small sized systems, as compared to domain discretization methods. Computations are carried out for several values of the Reynolds number Re, the magnetic pressure Rh of the fluid, and the magnetic Reynolds numbers Rm(1) and Rm(2) of the fluid and the outside medium, respectively. Exact solution of the problem of MHD pipe flow in an insulating medium validates the results of the numerical procedure.

Subject Keywords

MHD pipe flow, DRBEM, Conducting exterior medium

URI

https://hdl.handle.net/11511/28121

Journal

Journal of Computational and Applied Mathematics

DOI

https://doi.org/10.1016/j.cam.2013.05.010

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

MHD natural convection flow in a porous cavity Bozkaya, Canan (null; 2018-09-13) A numerical investigation of natural convection flow in a cavity filled with a fluid-saturated porous medium in the presence of uniform magnetic field is performed. The steady, viscous, incompressible flow inside the porous medium is assumed to obey the Darcy law. The fluid physical properties are constant except the density in the body force term which is treated according to Boussinesq approximation. The fluid and porous medium are in thermal equilibrium. The governing equations subject to appropriate bou...
The application of BEM to MHD flow and heat transfer in a rectangular duct with temperature dependent viscosity Ebren Kaya, Elif; Tezer, Münevver ( EC LTD.; 2018-07-11) The steady, laminar, fully developed MHD flow of an incompressible, electrically conducting fluid with temperature dependent viscosity is studied in a rectangular duct together with its heat transfer. Although the induced magnetic field is neglected due to the small Reynolds number, the Hall effect, viscous and Joule dissipations are taken into consideration. The momentum equation for the pipe-axis velocity and the energy equation are solved iteratively. Firstly, the momentum equation is solved by using the...
Stabilized FEM solution of MHD duct flow with conducting cracks in the insulation Tezer, Münevver; AYDIN, SALİM TUTGUN (2023-05-15) In this paper, the numerical solution of the fully developed liquid–metal magnetohydrodynamic (MHD) flow is given in a rectangular duct under an external oblique magnetic field with no-slip and insulated walls containing crack regions. The coupled MHD flow equations are transformed first into decoupled convection–diffusion equations in terms of the velocity and induced magnetic field. Thus, we apply the SUPG stabilization in the finite element method (FEM) solution procedure for high values of Hartmann numb...
BEM solution of MHD flow in a pipe coupled with magnetic induction of exterior region Tezer, Münevver (2013-05-01) 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 bou...
The BEM Solutions of MHD Flow and Heat Transfer in a Rectangular Duct with Temperature Dependent Viscosity Kaya, Elif Ebren; Tezer, Münevver (2019-01-01) The steady, laminar, fully developed magnetohydrodynamic (MHD) flow of an incompressible, electrically conducting fluid with temperature dependent viscosity is studied in a rectangular duct together with its heat transfer. Although the induced magnetic field is neglected due to the small Reynolds number, the Hall effect, viscous and Joule dissipations are taken into consideration. The momentum and the energy equations are solved iteratively. Firstly, the momentum equation is solved by using the boundary ele...

Citation Formats

S. Han Aydın and M. Tezer, “A DRBEM solution for MHD pipe flow in a conducting medium,” Journal of Computational and Applied Mathematics, pp. 720–729, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28121.