Journal
JOURNAL OF PHYSICS D-APPLIED PHYSICS
Volume 48, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0022-3727/48/8/085501
Keywords
electromagnetohydrodynamic (EMHD); corrugated walls; Jeffrey fluid; microchannel
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Funding
- National Natural Science Foundation of China [11472140, 11062005, 11202092]
- Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region [NJYT-13-A02]
- Opening fund of State Key Laboratory of Nonlinear Mechanics
- Research Program of science and technology at Universities of Inner Mongolia Autonomous Region [NJZY14109]
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By employing the perturbation method, the approximate analytical solutions of velocity and volume flow rate are presented for electromagnetohydrodynamic (EMHD) flow of an electrically conducting, incompressible and viscous Jeffrey fluid between two slit microparallel plates with corrugated walls. The corrugations of the two walls are described as periodic sinusoidal waves with small amplitude either in phase or half-period out of phase. The effects of the corrugations on the EMHD flow velocity are analyzed by using numerical computation. The variations of velocity profiles and mean velocity parameter and their dependences on the Reynolds number Re, Hartmann number Ha, dimensionless wave number lambda of the wall perturbation, the dimensionless relaxation time lambda(1)omega and retardation time lambda(2)omega are explained graphically.
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