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Unsteady flow of a fourth-grade fluid due to an oscillating plate

Wang, Yongqi and Wu, Wei :
Unsteady flow of a fourth-grade fluid due to an oscillating plate.
[Online-Edition: http://www.sciencedirect.com/science/article/pii/S0020746207...]
In: International Journal of Non-Linear Mechanics, 42 (3) pp. 432-441. ISSN 0020-7462
[Article] , (2007)

Official URL: http://www.sciencedirect.com/science/article/pii/S0020746207...

Abstract

The governing non-linear high-order, sixth-order in space and third-order in time, differential equation is constructed for the unsteady flow of an incompressible conducting fourth-grade fluid in a semi-infinite domain. The unsteady flow is induced by a periodically oscillating two-dimensional infinite porous plate with suction/blowing, located in a uniform magnetic field. It is shown that by augmenting additional boundary conditions at infinity based on asymptotic structures and transforming the semi-infinite physical space to a bounded computational domain by means of a coordinate transformation, it is possible to obtain numerical solutions of the non-linear magnetohydrodynamic equation. In particular, due to the unsymmetry of the boundary conditions, in numerical simulations non- central difference schemes are constructed and employed to approximate the emerging higher-order spatial derivatives. Effects of material parameters, uniform suction or blowing past the porous plate, exerted magnetic field and oscillation frequency of the plate on the time-dependent flow, especially on the boundary layer structure near the plate, are numerically analysed and discussed. The flow behaviour of the fourth-grade non-Newtonian fluid is also compared with those of the Newtonian fluid.

Item Type: Article
Erschienen: 2007
Creators: Wang, Yongqi and Wu, Wei
Title: Unsteady flow of a fourth-grade fluid due to an oscillating plate
Language: English
Abstract:

The governing non-linear high-order, sixth-order in space and third-order in time, differential equation is constructed for the unsteady flow of an incompressible conducting fourth-grade fluid in a semi-infinite domain. The unsteady flow is induced by a periodically oscillating two-dimensional infinite porous plate with suction/blowing, located in a uniform magnetic field. It is shown that by augmenting additional boundary conditions at infinity based on asymptotic structures and transforming the semi-infinite physical space to a bounded computational domain by means of a coordinate transformation, it is possible to obtain numerical solutions of the non-linear magnetohydrodynamic equation. In particular, due to the unsymmetry of the boundary conditions, in numerical simulations non- central difference schemes are constructed and employed to approximate the emerging higher-order spatial derivatives. Effects of material parameters, uniform suction or blowing past the porous plate, exerted magnetic field and oscillation frequency of the plate on the time-dependent flow, especially on the boundary layer structure near the plate, are numerically analysed and discussed. The flow behaviour of the fourth-grade non-Newtonian fluid is also compared with those of the Newtonian fluid.

Journal or Publication Title: International Journal of Non-Linear Mechanics
Volume: 42
Number: 3
Publisher: Elsevier Science
Uncontrolled Keywords: Fourth-grade fluid; Non-Newtonian fluid; Magnetohydrodynamic fluid; Time-dependent flow
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 24 Aug 2011 17:59
Official URL: http://www.sciencedirect.com/science/article/pii/S0020746207...
Additional Information:

doi:10.1016/j.ijnonlinmec.2007.01.003

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