Browsing by Author "Tezer-Sezgin, Munevver"

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    Numerical Solution of MHD Incompressible Convection Flow in Channels
    (2019) Gurbuz, Merve; Tezer-Sezgin, Munevver
    The purpose of this paper is to study numerically the influence of the magnetic field, buoyancy force and viscous dissipation on the convective flow and temperature of the fluid in a square cavity, lid-driven cavity, and lid-driven cavity with an obstacle at the center. The continuity, momentum and energy equations are coupled including buoyancy and magnetic forces, and energy equation contains Joule heating and viscous dissipation. The equations are solved in terms of stream function, vorticity and temperature by using polynomial radial basis function (RBF) approximation for the inhomogeneity and particular solution. The numerical solutions are obtained for several values of Grashof number (Gr), Hartmann number (M) for fixed Prandtl number Pr = 0:71 and fixed Reynolds number Re = 100 with or without viscous dissipation. It is observed that in the absence of obstacle, viscous dissipation changes the symmetry of the isotherms, and the dominance of buoyancy force increases with an increase in Gr, whereas decreases when the intensity of magnetic field increases. The obstacle in the lid-driven cavity causes a secondary flow on its left part. The effect of moving lid is weakened on the flow and isotherms especially for large Gr when the cavity contains obstacle.
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    Solution of MHD Flow with BEM Using Direct Radial Basis Function Interpolation
    (2019) Gurbuz, M; Tezer-Sezgin, Munevver; https://orcid.org/0000-0002-7746-9005; HLG-7277-2023
    In this study, the two-dimensional steady MHD Stokes and MHD incompressible flows of a viscous and electrically conducting fluid are considered in a lid-driven cavity under the impact of a uniform horizontal magnetic field. The MHD flow equations are solved iteratively in terms of velocity components, stream function, vorticity and pressure by using direct interpolation boundary element method (DIBEM) in which the inhomogeneity in the domain integral is interpolated by using radial basis functions. The boundary is discretized by constant elements and the sufficient number of the interior points are taken. The interpolation points are different from the source points due to the singularities of the fundamental solution. It is found that as Hartmann number increases, the main vortex of the flow shifts through the moving top lid with a decreasing magnitude and secondary flow below it is squeezed through the main flow leaving the rest of the cavity almost stagnant. The increase in M develops side layer near the moving lid, but weakens the effect of Re in the MHD incompressible flow.