Circular Far-Wake Flow behind a Sphere: Solutions to the Second Order
Publication: Journal of Engineering Mechanics
Volume 142, Issue 1
Abstract
The theory of hydrodynamic phenomenon of the axisymmetric circular far-wake flow behind a sphere is revisited in this study by the generalized similarity solution of the governing momentum equations to obtain the solutions to the second order in respect of the inverse distance from the sphere center. In case of a laminar wake, the nonlinear equation is derived from the Navier–Stokes equations; while in case of a turbulent wake, it is obtained from the Reynolds averaged Navier–Stokes (RANS) equations and the eddy viscosity concept. The first-order Oseen-type linearization yields solutions well known in the literature, but the second-order solutions obtained in this study are novel.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 1 • January 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Dec 15, 2014
Accepted: May 19, 2015
Published online: Jun 30, 2015
Discussion open until: Nov 30, 2015
Published in print: Jan 1, 2016
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