Mixed Convection Heat Transfer in a Lid-Driven Cavity under the Effect of a Partial Magnetic Field

Abstract

Mixed convection flow in a lid-driven cavity in the presence of a uniform partial magnetic field is investigated utilizing the pseudo spectral method based on polyharmonic spline radial basis functions. The two-dimensional problem is concerned in a unit square cavity designed by adiabatic horizontal walls and vertical walls with constant temperatures. The top wall moves either in the positive x or in the negative x directions. The partial magnetic field is taken into account in the positive y direction. Working fluid is chosen as air. Efficiency of dimensionless Hartmann number and Richardson number on fluid flow and heat transfer is presented as well as the length and the central location of partial magnetic field. Flow is affected in the direction of vertical partial magnetic field, and is propelled to the other parts of the cavity regarding the central location of magnetic field. In case of middle centered partial magnetic field. The increase in the length of the partial magnetic field and the middle centered partial magnetic field as well reduce the convective heat transfer. The negative x directed lid-driven cavity has less influence on convection than the positive x directed lid-driven cavity.

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Notes on contributors

Bengisen Pekmen Geridonmez

Bengisen (Pekmen) Geridonmez is an Associate Professor in the Department of Mathematics, TED University, Ankara. She graduated from Middle East Technical University (METU) in Ankara, Turkey. She finalized B.Sc. from Department of Mathematics, M.Sc. and Ph.D. from Department of Scientific Computing at METU. Her studies are on numerical simulation of different fluid dynamics and heat transfer problems.

Hakan F. Oztop

Hakan F. Oztop is a Professor at the Department of Mechanical Engineering, Technology Faculty, Firat University, Elazig, Turkey. He received his Bachelors degree in Mechanical Engineering from Firat University in 1996 and later on pursued masters and Ph.D. degrees at the same university energy division in 2003. His main research fields are computational fluid dynamics, energy storage, combustion and renewable energy. He had been in University De Montreal, Ecole Polytechnique, Canada in 2002 and Auburn University Department of Mechanical Engineering in 2004 for short time studies. He has more than 300 international journal papers.