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Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface

Abbas, Z. and Wang, Yongqi and Hayat, Tasawar and Oberlack, Martin (2008):
Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface.
In: International Journal of Non-Linear Mechanics, Elsevier Science, pp. 783-793, 43, (8), ISSN 0020-7462, [Online-Edition: http://www.sciencedirect.com/science/article/pii/S0020746208...],
[Article]

Abstract

An analysis is carried out to study the unsteady magnetohydrodynamic (MHD) two-dimensional boundary layer flow of a second grade viscoelastic fluid over an oscillatory stretching surface. The flow is induced due to an infinite elastic sheet which is stretched back and forth in its own plane. For the investigated problem, the governing equations are reduced to a non-linear partial differential equation by means of similarity transformations. This equation is solved both by a newly developed analytic technique, namely homotopy analysis method (HAM) and by a numerical method employing the finite difference scheme, in which a coordinate transformation is employed to transform the semi-infinite physical space to a bounded computational domain. The results obtained by means of both methods are then compared and show an excellent agreement. The effects of various parameters like visco-elastic parameter, the Hartman number and the relative frequency amplitude of the oscillatory sheet to the stretching rate on the velocity field are graphically illustrated and analysed. The values of wall shear stress for these parameters are also tabulated and discussed.

Item Type: Article
Erschienen: 2008
Creators: Abbas, Z. and Wang, Yongqi and Hayat, Tasawar and Oberlack, Martin
Title: Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface
Language: English
Abstract:

An analysis is carried out to study the unsteady magnetohydrodynamic (MHD) two-dimensional boundary layer flow of a second grade viscoelastic fluid over an oscillatory stretching surface. The flow is induced due to an infinite elastic sheet which is stretched back and forth in its own plane. For the investigated problem, the governing equations are reduced to a non-linear partial differential equation by means of similarity transformations. This equation is solved both by a newly developed analytic technique, namely homotopy analysis method (HAM) and by a numerical method employing the finite difference scheme, in which a coordinate transformation is employed to transform the semi-infinite physical space to a bounded computational domain. The results obtained by means of both methods are then compared and show an excellent agreement. The effects of various parameters like visco-elastic parameter, the Hartman number and the relative frequency amplitude of the oscillatory sheet to the stretching rate on the velocity field are graphically illustrated and analysed. The values of wall shear stress for these parameters are also tabulated and discussed.

Journal or Publication Title: International Journal of Non-Linear Mechanics
Volume: 43
Number: 8
Publisher: Elsevier Science
Uncontrolled Keywords: Visco-elastic fluid; Electrically conducting fluid; Oscillatory stretching sheet; HAM solution; Numerical solution
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 18:11
Official URL: http://www.sciencedirect.com/science/article/pii/S0020746208...
Additional Information:

doi:10.1016/j.ijnonlinmec.2008.04.009

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