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research-article

Free convection in a wavy walled cavity with a magnetic source using radial basis functions

[+] Author and Article Information
Bengisen Pekmen Geridonmez

Department of Mathematics, TED University, Ankara, Turkey
bengisenpekmen@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4042782 History: Received June 20, 2018; Revised January 08, 2019

Abstract

In this study, free convection in a cavity with differentially heated wavy walls is numerically investigated in presence of a magnetic source. Polyharmonic spline radial basis function is utilized to discretize the governing dimensionless equations formulated by stream function-vorticity. The effects of dimensionless numbers Hartmann number, the number of undulations, amplitude of wave and the location of magnetic source are visualised in streamlines and isotherms as well as calculating average Nusselt number through the heated wall. Results show that primary vortex in streamlines is altered with the impact of magnetic source. The augmentation of undulations and amplitude causes convective heat transfer to decrease if $Ra=10^5$. The impact of location of magnetic source is noted close to the top wall.

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