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The flow induced by the torsional oscillations of an elliptic cylinder

Published online by Cambridge University Press:  26 April 2006

N. Riley  and
M. F. Wybrow
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
M. F. Wybrow
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
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Abstract

We consider the fluid motion induced when an elliptic cylinder performs small-amplitude torsional oscillations about an axis parallel to a generator which passes through either the centre or a point on the major or minor axis of the ellipse. In common with other fluid flows dominated by oscillatory motion, a time-independent, or steady streaming flow develops. This steady streaming exhibits several unusual and unexpected features, which are confirmed by experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 290 , 10 May 1995 , pp. 279 - 298
Copyright
© 1995 Cambridge University Press

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References

Banks, W. H. H. & Zaturska, M. B. 1979 The collision of unsteady laminar boundary layers. J. Engng Maths 13, 193–212.Google Scholar
Brown, S. N. & Simpson, C. J. 1982 Collision phenomena in free-convective flow over a sphere. J. Fluid Mech. 124, 123–137.Google Scholar
Davidson, B. J. & Riley, N. 1972 Jets induced by oscillatory motion. J. Fluid Mech. 53, 287–303.Google Scholar
Lighthill, M. J. 1978 Acoustic streaming. J. Sound Vib. 61, 391–418.Google Scholar
Longuet-Higgins, M. S. 1970 Steady currents induced by oscillations round islands. J. Fluid Mech. 42, 701–720.Google Scholar
Riley, N. 1965 Oscillating viscous flows. Mathematika 12, 161–175.Google Scholar
Riley, N. 1967 Oscillatory viscous flows: review and extension. J. Inst. Maths Applics. 3, 419–434.Google Scholar
Riley, N. 1971 Stirring of a viscous fluid. Z. Angew Math. Phys. 22, 645–653.Google Scholar
Riley, N. 1978 Circular oscillations of a cylinder in a viscous fluid. Z. Angew Math. Phys. 29, 439–449.Google Scholar
Riley, N. & Vasantha, R. 1989 An unsteady stagnation-point flow. Q. J. Mech. Appl. Maths 42, 511–521.Google Scholar
Riley, N. & Watson, E. J. 1993 Eccentric oscillations of a circular cylinder in a viscous fluid. Mathematika 40, 187–202.Google Scholar
Stuart, J. T. 1966 Double boundary layers in oscillatory viscous flows. J. Fluid Mech. 24, 673–687.Google Scholar
Taneda, S. 1980 Visualization of steady flows induced by a circular cylinder performing a rotary oscillation about an eccentric axis. J. Phys. Soc. Japan 49, 2038–2041.Google Scholar
Van Dommelen, L. L. & Shen, S. F. 1980 The spontaneous generation of the singularity in a separating laminar boundary layer. J. Comput. Phys. 38, 125–140.Google Scholar
Vasantha, R. & Riley, N. 1988 On the initiation of jets in oscillatory viscous flows. Proc. R. Soc. Land. A 419, 363–378.Google Scholar