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Unsteady flow and heat transfer past an axisymmetric permeable shrinking sheet with radiation effect
Authors:F M Ali  R Nazar  N M Arifin  I Pop
Institution:1. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, 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 problem of unsteady axisymmetric boundary layer flow and heat transfer induced by a permeable shrinking sheet in the presence of radiation effect is studied. The transformed boundary layer equations are solved numerically by an implicit finite‐difference scheme known as the Keller‐box method. The influence of radiation, unsteadiness and mass suction parameters on the reduced skin friction coefficient f′′(0) and the heat transfer coefficient ?θ′(0), as well as the velocity and temperature profiles are presented and discussed in detail. It is found that dual solutions exist and suction parameter delays the separation of boundary layer. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:unsteady flow  heat transfer  radiation effect  boundary layer  permeable shrinking sheet  numerical solution
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