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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 6/2015

01-06-2015 | Original

Slip flow along an impulsively started cylinder

Authors: L. J. Crane, A. G. McVeigh

Published in: Archive of Applied Mechanics | Issue 6/2015

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Abstract

This paper reports on the time-dependent axisymmetric flow of a viscous, incompressible fluid along a moving circular cylinder having infinite extent. A mathematical account is given to unsteady motion, in which the governing non-dimensional equations are obtained in the presence of a velocity-slip boundary condition near the cylinder wall. In the case where the cylinder is started impulsively from rest in (initially) still air, the Bingham number is obtained by means of Laplace transform techniques with particular emphasis regarding the cylinder in motion with uniform velocity and acceleration. The effects of the momentum slip length parameter on the shear stress are determined and presented.
previous article The analytical solutions for the stress distributions within elastic hollow spheres under the diametrical point loads

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Metadata
Title
Slip flow along an impulsively started cylinder
Authors
L. J. Crane
A. G. McVeigh
Publication date
01-06-2015
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 6/2015
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-015-0994-7

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