DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid

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 that fluid flow concentrates through the upper right corner forming boundary layers with the effect of moving lid and increased magnetic field intensity. Electric field behavior is changed accordingly with the insulated and conducting portions of the pipe walls. Fluid moves in the pipe-axis direction with an increasing rate of magnitude when Hartmann number increases. The boundary only nature of DRBEM provides the solution at a low computational expense.

Suggestions

 DRBEM Solution of Incompressible MHD Flow with Magnetic Potential Pekmen, B.; Tezer, Münevver (2013-12-01) 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 numeri...
 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 to MHD flow in ducts with thin slipping side walls and separated by conducting thick Hartmann walls Senel, P.; Tezer-Sezgin, M. (Elsevier BV, 2019-11-01) In this study, the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow is given in a single and two ducts stacked in the direction of external magnetic field. The duct walls perpendicular to the applied magnetic field (Hartmann walls) are conducting, thick and no-slip whereas the horizontal walls (side walls) are insulated, thin and allow the velocity slip. The DRBEM transforms the convection diffusion type MHD equations in the duct and Laplace equation in the thick w...
 DRBEM Solution of MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts Tezer, Münevver; ŞENEL, PELİN (2019-01-01) We present the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow in a single and two parallel ducts which are separated by conducting walls of arbitrary thickness in the direction of external magnetic field. The DRBEM discretized coupled MHD convection-diffusion equations in the ducts and the Laplace equations on the shared walls are solved as a whole by using constant boundary elements with the coupled induced current wall conditions. It is shown that, the conducti...
 DRBEM solution of exterior nonlinear wave problem using FDM and LSM time integrations Meral, Guelnihal; Tezer, Münevver (Elsevier BV, 2010-06-01) The nonlinear wave equation is solved numerically in an exterior region For the discretization of the space derivatives dual reciprocity boundary element method (DRBEM) is applied using the fundamental solution of Laplace equation. The time derivative and the nonlinearity are treated as the nonhomogenity. The boundary integrals coming from the far boundary are eliminated using rational and exponential interpolation functions which have decay properties far away from the region of Interest. The resulting sys...
Citation Formats
M. Tezer and C. Bozkaya, “DRBEM Solution of MHD Flow and Electric Potential in a Rectangular Pipe with a Moving Lid,” 2015, vol. 112, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48277.