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Unsteady boundary layer flow induced by accelerating motion near the rear stagnation point in a micropolar fluid

Lok, Y. Y. and Amin, Norsarahaida and Pop, Ioan (2009) Unsteady boundary layer flow induced by accelerating motion near the rear stagnation point in a micropolar fluid. International Journal of Fluid Mechanics Research, 36 (1). pp. 30-42. ISSN 1064-2277

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Official URL: http://dx.doi.org/10.1615/InterJFluidMechRes.v36.i...

Abstract

The unsteady boundary layer flow of a micropolar fluid induced by a two-dimensional body, which is started impulsively from rest, is studied in this paper. The variation with time t of the external stream V(t) is assumed to be of the form V(t) 1 - exp(-atm), where a = 0 means a coefficient of acceleration and m is an arbitrary integral value. The problem is formulated for the flow at the rear stagnation point on an infinite plane wall. Numerical solutions of the unsteady boundary layer equations are obtained using an implicit finite-difference scheme known as the Keller's box method. Results are given for the velocity and microrotation profiles, as well as for the dimensionless time elapsed before the boundary layer begins to separate from the wall. It is found that the dimensionless time elapsed before separation takes place is lower for a micropolar fluid (K 0) than for a Newtonian fluid (K 0), where K denotes the micropolar or material parameter.

Item Type:Article
Uncontrolled Keywords:a coefficients, finite-difference schemes, infinite planes, integral values, material parameters, micropolar, micropolar fluids, microrotation, newtonian fluids, numerical solutions, rear stagnation points, two-dimensional bodies, unsteady boundary layers
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:13176
Deposited By: Mrs Liza Porijo
Deposited On:20 Jul 2011 09:01
Last Modified:20 Jul 2011 09:01

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