Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 46, Issue 9, Pages 1191-1194Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2011.05.014
Keywords
Slip flow; Stretching cylinder; Similarity
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Funding
- 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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