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Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid.

Hayat, Tasawar and Wang, Yongqi and Hutter, Kolumban (2004):
Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid.
In: International Journal of Non-Linear Mechanics, Elsevier Science, pp. 1027-1037, 39, (6), ISSN 0020-7462, DOI: 10.1016/S0020-7462(03)00094-5, [Online-Edition: http://www.sciencedirect.com/science/article/pii/S0020746203...],
[Article]

Abstract

An exact solution of an oscillatory flow is constructed in a rotating fluid under the influence of an uniform transverse magnetic field. The fluid is considered as second-grade (non-Newtonian). The influence of Hall currents and material parameters of the second-grade fluid is investigated. The hydromagnetic flow is generated in the uniformly rotating fluid bounded between two rigid non-conducting parallel plates by small amplitude oscillations of the upper plate. The exact solutions of the steady and unsteady velocity fields are constructed. It is found that the steady solution depends on the Hall parameter but is independent of the material parameter of the fluid. The unsteady part of the solution depends upon both (Hall and material) parameters. Attention is focused upon the physical nature of the solution, and the structure of the various kinds of boundary layers is examined. Several results of physical interest have been deduced in limiting cases.

Item Type: Article
Erschienen: 2004
Creators: Hayat, Tasawar and Wang, Yongqi and Hutter, Kolumban
Title: Hall effects on the unsteady hydromagnetic oscillatory flow of a second-grade fluid.
Language: English
Abstract:

An exact solution of an oscillatory flow is constructed in a rotating fluid under the influence of an uniform transverse magnetic field. The fluid is considered as second-grade (non-Newtonian). The influence of Hall currents and material parameters of the second-grade fluid is investigated. The hydromagnetic flow is generated in the uniformly rotating fluid bounded between two rigid non-conducting parallel plates by small amplitude oscillations of the upper plate. The exact solutions of the steady and unsteady velocity fields are constructed. It is found that the steady solution depends on the Hall parameter but is independent of the material parameter of the fluid. The unsteady part of the solution depends upon both (Hall and material) parameters. Attention is focused upon the physical nature of the solution, and the structure of the various kinds of boundary layers is examined. Several results of physical interest have been deduced in limiting cases.

Journal or Publication Title: International Journal of Non-Linear Mechanics
Volume: 39
Number: 6
Publisher: Elsevier Science
Uncontrolled Keywords: Hall effect; Non-Newtonian fluid; Hydromagnetic flow
Divisions: Study Areas
16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Study Areas > Study Area Mechanic
Date Deposited: 02 Sep 2011 13:12
DOI: 10.1016/S0020-7462(03)00094-5
Official URL: http://www.sciencedirect.com/science/article/pii/S0020746203...
Additional Information:

DOI: 10.1016/S0020-7462(03)00094-5

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