In this study, free convection in a cavity with differentially heated wavy walls is numerically investigated in the presence of a magnetic source. Polyharmonic spline radial basis function (RBF) is utilized to discretize the governing dimensionless equations formulated by stream function-vorticity. The effects of dimensionless Hartmann number, Rayleigh number, the number of undulations, amplitude of wave, and the location of magnetic source are visualized 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 = 105. The impact of location of magnetic source is noted close to the top wall.
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Free Convection in a Wavy Walled Cavity With a Magnetic Source Using Radial Basis Functions
Bengisen Pekmen Geridonmez
Bengisen Pekmen Geridonmez
Department of Mathematics,
TED University,
Ziya Gokalp Caddesi, No. 47-48,
Kolej-Cankaya,
Ankara 06420, Turkey
e-mail: bengisenpekmen@gmail.com
TED University,
Ziya Gokalp Caddesi, No. 47-48,
Kolej-Cankaya,
Ankara 06420, Turkey
e-mail: bengisenpekmen@gmail.com
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Bengisen Pekmen Geridonmez
Department of Mathematics,
TED University,
Ziya Gokalp Caddesi, No. 47-48,
Kolej-Cankaya,
Ankara 06420, Turkey
e-mail: bengisenpekmen@gmail.com
TED University,
Ziya Gokalp Caddesi, No. 47-48,
Kolej-Cankaya,
Ankara 06420, Turkey
e-mail: bengisenpekmen@gmail.com
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 20, 2018; final manuscript received January 8, 2019; published online February 25, 2019. Assoc. Editor: Antonio Barletta.
J. Heat Transfer. Apr 2019, 141(4): 042501 (9 pages)
Published Online: February 25, 2019
Article history
Received:
June 20, 2018
Revised:
January 8, 2019
Citation
Pekmen Geridonmez, B. (February 25, 2019). "Free Convection in a Wavy Walled Cavity With a Magnetic Source Using Radial Basis Functions." ASME. J. Heat Transfer. April 2019; 141(4): 042501. https://doi.org/10.1115/1.4042782
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