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International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

Institutional price:	$1811.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2007, Volume34

107 pages

DOI: 10.1615/InterJFluidMechRes.v34.i6

Issue price - $335.00

Transient Rotating Hydromagnetic Partially-Ionized Heat-Generating Gas Dynamic Flow with Hall/Ion-Slip Current Effects: Finite Element Analysis

H. Naroua
Département de Mathématiques et Informatique, Université Abdou Moumouni B. P. 10662, Niamey, Niger, Africa

Harmindar S. Takhar
Engineering Department, Manchester Metropolitan University, Oxford Rd., Manchester, M15GD, UK

P. C. Ram
Department of Mathematics and Computer Science, The Catholic University of Eastern Africa, P. O. Box 62157, Nairobi, Kenya

Tasveer A. Beg
Earthquake Engineering Consultant, 18 Milton Grove, Manchester, M16OBP, England, UK

Osman Anwar Beg
Hydrodynamics Consultant and Researcher & Director of Fire Safety Program, Leeds College of Building/Leeds Metropolitan University North Street, Leeds, UK; Aerosciences Program, King Faisal Air Academy, Riyadh, Kingdom of Saudi Arabia

R. Bhargava
Department of Mathematics, Indian Institute of Technology, Roorkee-247667, India

ABSTRACT

A mathematical model is presented for the unsteady magnetohydrodynamic heat-generating free convection flow of a partially-ionized gas past an infinite vertical porous plate in a rotating frame of reference. Hall and ion-slip current effects are incorporated in the model. A finite element solution to the coupled non-linear differential equations is presented under physically realistic boundary conditions. The effects of Hall current parameter, ion-slip current parameter, Prandtl number, heat generation parameter, rotational parameter, Grashof (buoyancy) parameter and also time on the velocity and temperature fields are presented graphically. Primary velocity profile (u) decreases due to an increase in the Hall parameter and the ionslip parameter; however it is boosted with time for positive Grashof numbers (cooling of the plate by free convection currents) and decreases with time for negative Grashof numbers (heating of the plate by free convection currents). Secondary velocity profile (v) is also reduced with rising Hall parameter and ionslip parameter but boosted with time and stronger rotation. The temperature profile (θ) is enhanced with a rise in the heat generating parameter and also increases with time. The flow regime has important applications in MHD energy systems, plasma aerodynamics and induction flow meter technologies.