A new BEM approach for the slow 2D MHD flow about interacting solid particles

2015-07-06
Antonie, Sellier
Selçuk, Han Aydın
Tezer, Münevver
This work looks at the two-dimensional MagnetoHydrodynamic steady slow flow of a conducting newtonian liquid about two solid insulating particles. It presents a powerful boundary approach to efficiently compute at a reasonable cpu time cost the flow about the particles when the imposed ambient uniform magnetic and the liquid velocity on each particle contour are given. The trick rests on two derived integral representations for the fluid velocity and pressure in the entire liquid domain. The task is thereby reduced to the treatment of four coupled regularized boundary-integral equations governing the Cartesian components of the surface traction on the cluster boundary. The whole proposed numerical implementation is convincingly tested against theoretical exact solutions for a 2-disk cluster.

Suggestions

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...
A Spectral Solenoidal-Galerkin Method for Rotating Thermal Convection between Rigid Plates
Yıldırım, Cihan; Yarımpabuç, Durmuş; Tarman, Hakan I. (Hindawi Limited, 2013)
The problem of thermal convection between rotating rigid plates under the influence of gravity is treated numerically. The approach uses solenoidal basis functions and their duals which are divergence free. The representation in terms of the solenoidal bases provides ease in the implementation by a reduction in the number of dependent variables and equations. A Galerkin procedure onto the dual solenoidal bases is utilized in order to reduce the governing system of partial differential equations to a system ...
A new differential formulation of acoustic scattering by rotationally symmetrical penetrable scatterers
Günalp, Nilgün; TOSUN, H (1994-07-01)
A new differential formulation is presented for acoustic wave scattering from rotationally symmetric penetrable bodies. The numerical implementation of this formulation is fairly simple, and comprises basically the construction of the state-transition matrix of a system of differential equations and the solution of a matrix equation. The validity and the accuracy of the numerical scheme are tested considering objects of known scattering behavior. Other numerical applications are also presented to demonstrat...
A numerical study on magneto-hydrodynamic mixed convection flow
Bozkaya, Canan (2014-01-01)
This paper, describes a study conducted to numerically investigate the two-dimensional, steady, laminar, magneto-hydrodynamic mixed convection flow and heat transfer characteristics in a lid-driven enclosure beneath an externally applied magnetic field. A solid square block is placed inside the cavity. The governing equations in the form of a stream function-vorticity-temperature formulation are solved numerically using the dual reciprocity boundary element method with constant elements. Treatment of nonlin...
A numerical solution of the steady MHD flow through infinite strips with BEM
Bozkaya, Canan; Tezer, Münevver (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 so...
Citation Formats
S. Antonie, H. A. Selçuk, and M. Tezer, “A new BEM approach for the slow 2D MHD flow about interacting solid particles,” Valencia, Spain, 2015, vol. 16, p. 67, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/72164.