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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v38.i3.40
pages 246-258

Effects of Viscous Dissipation and Joule Heating on Thermal Instability of Natural Convection Flow in a Boundary Layer Flow Subjected to Magnetic Field

Chin-Tai Chen
Department of Industrial and Engineering Management, Ta-Hwa Institute of Technology, Taiwan
Ming-Han Lin
Department of Mechatronic Engineering, Ta-Hwa Institute of Technology, Hsinchu 307, Taiwan, ROC

RÉSUMÉ

Effects of viscous dissipation and Joule heating on the thermal instability in natural convection over a heated horizontal plate subjected external magnetic field are studied. The criterion on the position marking on the onset of longitudinal vortices is defined in this paper. The results show that the onset position characterized by the Grashof number depends on the Prandtl number, the wave number, the Eckert number, and the magnetic field parameter. The flow is found more stable as the magnetic field increases. However, the destabilizing effect is found when the Eckert number increases. The results of the present numerical prediction show reasonable agreement with the experimental data in the case of zero magnetic field parameter in the literature.


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