Lee, S. H. and Leal, L. G. (1986) Low-Reynolds-number flow past cylindrical bodies of arbitrary cross-sectional shape. Journal of Fluid Mechanics, 164 . pp. 401-427. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120627-100920779
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A numerical implementation of the method of matched asymptotic expansions is proposed to analyse two-dimensional uniform streaming flow at low Reynolds number past a straight cylinder (or cylinders) of arbitrary cross-sectional shape. General solutions for both the Stokes and Oseen equations in two dimensions are expressed in terms of a boundary distribution of fundamental single- and double-layer singularities. These general solutions are then converted to integral equations for the unknown distributions of singularity strengths by application of boundary conditions at the cylinder surface, and matching conditions between the Stokes and Oseen solutions. By solving these integral equations, using collocation methods familiar from three-dimensional application of ‘boundary integral’ methods for solutions of Stokes equation, we generate a uniformly valid approximation to the solution for the whole domain. We demonstrate the method by considering, as numerical examples, uniform flow past an elliptic cylinder, uniform flow past a cylinder of rectangular cross-section, and uniform flow past two parallel cylinders which may be either equal in radius, or of different sizes.
|Additional Information:||© 1986 Cambridge University Press. Received 1 May 1985 and in revised form 8 October 1985. Published online: 21 April 2006.|
|Official Citation:||S. H. Lee and L. G. Leal (1986). Low-Reynolds-number flow past cylindrical bodies of arbitrary cross-sectional shape. Journal of Fluid Mechanics, 164 , pp 401-427 doi:10.1017/S0022112086002616|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||27 Jun 2012 17:20|
|Last Modified:||26 Dec 2012 15:24|
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