2 results
Search Results
Now showing 1 - 2 of 2
Article Citation - WoS: 3Citation - Scopus: 3Drbem Solution of Mhd Flow With Magnetic Induction and Heat Transfer(Tech Science Press, 2015) Pekmen, B.; Tezer-Sezgin, M.; MathematicsThis study proposes the dual reciprocity boundary element (DRBEM) solution for full magnetohydrodynamics (MHD) equations in a lid-driven square cavity. MHD equations are coupled with the heat transfer equation by means of the Boussinesq approximation. Induced magnetic field is also taken into consideration. The governing equations in terms of stream function, temperature, induced magnetic field components, and vorticity are solved employing DRBEM in space together with the implicit backward Euler formula for the time derivatives. The use of DRBEM with linear boundary elements which is a boundary discretization method enables one to obtain small sized linear systems. This makes the whole procedure computationally efficient and cheap. The results are depicted with respect to varying physical parameters such as Prandt1 (0.005 <= Pr <= 1), Reynolds (100 <= Re <= 2500), magnetic Reynolds (1 <= Rein <= 100), Hartmann (10 <= Ha <= 100) and Rayleigh (10 <= Ra <= 10(6)) numbers for discussing the effect of each parameter on the flow and temperature behaviors of the fluid. It is found that an increase in Ha slows down the fluid motion and heat transfer becomes conductive. Centered square blockage causes secondary flows on its left and light even for small Re. Strong temperature gradients occur around the blockage and near the moving lid for increasing values of Ra.Article Citation - WoS: 4Citation - Scopus: 5Drbem Solution of Incompressible Mhd Flow With Magnetic Potential(Tech Science Press, 2013) Pekmen, B.; Tezer-Sezgin, M.; MathematicsThe 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 numerical results are visualized for several values of Reynolds (Re), Hartmann (Ha) and magnetic Reynolds number (Rem) in a lid-driven cavity, and in a channel with a square cylinder. The well-known characteristics of the fluid flow and MHD flow are exhibited. These are the shift of the core region of the flow and the development of the main vortex in the vorticity through the center of the cavity as Re increases. An increase in Ha causes Hartmann layers for the flow at the bottom and top walls. Higher values of Rem result in circulation of the magnetic potential at the center of the cavity. An increase in Re causes symmetric vortices behind the cylinder to elongate through the channel, and an increase in Hartmann number suppresses this elongation.
