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Unsteady three‐dimensional boundary layer flow due to a stretching surface in a micropolar fluid
Authors:K Ahmad  R Nazar  A Ishak  I Pop
Institution:1. Centre for Foundation Studies, International Islamic University Malaysia, 46700 Petaling Jaya, Selangor, Malaysia;2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;3. Faculty of Mathematics, University of Cluj, R‐3400 Cluj, CP 253, Romania
Abstract:In this paper, the unsteady three‐dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite‐difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady‐state flow to final steady‐state flow in the whole spatial region. The equations for the initial unsteady‐state flow are also solved analytically. It is found that there is a smooth transition from the small‐time solution to the large‐time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:boundary layer  micropolar fluid  numerical solution  stretching surface  unsteady three‐dimensional flow
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