Numerical solution of buoyancy MHD flow with magnetic potential

2014-04-01
Pekmen, B.
Tezer, Münevver
In this study, dual reciprocity boundary element method (DRBEM) is applied for solving the unsteady flow of a viscous, incompressible, electrically conducting fluid in channels under the effect of an externally applied magnetic field and buoyancy force. Magnetohydrodynamics (MHD) equations are coupled with the energy equation due to the heat transfer by means of the Boussinessq approximation. Then, the 20 non-dimensional full MHD equations in terms of stream function, temperature, magnetic potential, current density and vorticity are solved by using DRBEM with implicit backward Euler time integration scheme. Numerical results are obtained utilizing linear boundary elements and linear radial basis functions approximation for the inhomogeneities, in a double lid-driven staggered cavity and in a channel with backward facing step. The results are given for several values of problem parameters as Reynolds number (Re), magnetic Reynolds number (Rem), Hartmann number (Ha) and Rayleigh number (Ra). With the increase in Rem, both magnetic potential and current density circulate near the abrupt changes of the walls. The increase in Ha suppresses this perturbation, and forces the magnetic potential lines to be in the direction of the applied magnetic field. The boundary layer formation through the walls emerge in the flow and current density for larger values of Ha.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Suggestions

Numerical solutions of boundary value problems; applications in ferrohydrodynamics and magnetohydrodynamics
Şenel, Pelin; Tezer, Münevver; Department of Mathematics (2017)
In this thesis, steady, laminar, fully developed flows in pipes subjected to a point magnetic source or uniform magnetic field are simulated by the dual reciprocity boundary element method (DRBEM). The Navier-Stokes and energy equations are solved in terms of the velocity, pressure and the temperature of the fluid which are all of the original variables of the problem. The missing pressure equation is derived and pressure boundary conditions are generated by a finite difference approximation and the DRBEM c...
Radial basis function and dual reciprocity boundary element solutions of fluid dynamics problems
Gürbüz, Merve; Tezer Sezgin, Münevver; Department of Mathematics (2017)
In this thesis, the two-dimensional, laminar steady or unsteady flow of a viscous, incompressible, electrically conducting fluid is considered in channels of several geometries under the impact of a uniform magnetic field with different orientations. Magnetohydrodynamic (MHD) flow governed by the hydrodynamic and electromagnetic equations is solved numerically with or without Stokes approximation and with or without magnetic induction due to the large or small values of Reynolds and magnetic Reynolds number...
Theoretical and experimental investigation of bulk glass forming ability in bulk amorphous alloy systems
Ayas, Can; Mekrabov, Amdulla O.; Department of Metallurgical and Materials Engineering (2005)
In this study molecular dynamics simulation program in NVT ensemble using Velocity Verlet integration was written in order to investigate the glass forming ability of two metallic systems. The Zn-Mg system, one of the frontiers of simple metal-metal metallic glasses and Fe-B, inquiring attention due to presence of many bulk glass forming alloy systems evolved from this binary with different alloying element additions. In addition to this, atomistic calculations on the basis of ordering were carried out for ...
Radial motion of highly conducting sphere in magnetic field
Gurcan, OD; Mirnov, VV; Ucer, D (2000-05-01)
Radial motion of a highly conducting sphere in external magnetic field is considered. It both perturbs the external magnetic field and generates an electric field. Exact analytic solution has been obtained previously for a uniformly expanding sphere. In the present paper a new exact solution is derived which is valid not only for expansion but for contraction as well. It allows us to calculate analytically the total electromagnetic energy irradiated by the sphere involved in periodical radial motion with ar...
Practical Realization of Magnetic Resonance Conductivity Tensor Imaging (MRCTI)
DEĞİRMENCİ, EVREN; Eyüboğlu, Behçet Murat (2013-03-01)
Magnetic resonance conductivity tensor imaging (MRCTI) is an emerging modality which reconstructs images of anisotropic conductivity distribution within a volume conductor. Images are reconstructed based on magnetic flux density distribution induced by an externally applied probing current, together with a resultant surface potential value. The induced magnetic flux density distribution is measured using magnetic resonance current density imaging techniques. In this study, MRCTI data acquisition is experime...
Citation Formats
B. Pekmen and M. Tezer, “Numerical solution of buoyancy MHD flow with magnetic potential,” INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, pp. 172–182, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35405.