4.5 Article

Slip flow due to a stretching cylinder

Journal

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 46, Issue 9, Pages 1191-1194

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2011.05.014

Keywords

Slip flow; Stretching cylinder; Similarity

Categories

Funding

  1. Research Grants Council of the Hong Kong Special Administrative Region, China [HKU 715609E]

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The slip flow due to a stretching cylinder is studied. A similarity transform reduces the Navier-Stokes equations to a set of non-linear ordinary differential equations. Asymptotic solutions for large Reynolds number and small slip show the problem can be related to the existing two-dimensional stretching cases. Due to algebraic decay, the equations are further transformed through a compressed variable, and then integrated numerically. It is found that slip greatly reduces the magnitudes of the velocities and the shear stress. (C) 2011 Elsevier Ltd. All rights reserved.

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