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Streaming from a sphere due to a pulsating source

Published online by Cambridge University Press:  26 April 2006

Norsarahaida Amin and
N. Riley
Norsarahaida Amin
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
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Abstract

The steady streaming outside the Stokes shear-wave layer, which forms on the surface of a sphere when placed close to an oscillatory point source, is considered. Particular attention is devoted to the case of high streaming Reynolds-number flow. Thin circular jets, analogous to the plane jets known to occur in two-dimensional flow, are predicted and visualized by means of a simple experiment.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 210 , January 1990, pp. 459 - 473
Copyright
© 1990 Cambridge University Press

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References

Amin, N. 1989 Oscillation-induced mean flows and heat transfer. PhD thesis, University of East Anglia.
Awang, M. A. O. 1984 Improved calculations for the steady flow over a heated sphere at high Grashof number. J. Math. Phys. Sci. 18, 115–125.Google Scholar
Bertelsen, A. F. 1974 An experimental investigation of high Reynolds number steady streaming generated by oscillating cylinders. J. Fluid Mech. 64, 589–597.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
Duck, P. W. & Smith, F. T. 1979 Steady streaming induced between oscillating cylinders. J. Fluid Mech. 91, 93–110.Google Scholar
Haddon, E. W. & Riley, N. 1979 The steady streaming induced between oscillating circular cylinders. Q. J. Mech. Appl. Maths 32, 265–282.Google Scholar
Lighthill, M. J. 1978 Acoustic streaming. J. Sound Vib. 61, 391–418.Google Scholar
Moore, D. W. 1963 The boundary layer on a spherical gas bubble. J. Fluid Mech. 16, 161–176.Google Scholar
Nyborg, W. L. 1953 Acoustic streaming equations: laws of rotational motion for fluid elements. J. Acoust. Soc. Am. 25, 938–944.Google Scholar
Potter, J. M. & Riley, N. 1980 Free convection from a heated sphere at large Grashof number. J. Fluid Mech. 100, 769–783.Google Scholar
Rayleigh, Lord 1884 On the circulation of air observed in Kundt's tubes, and on some allied acoustical problems.. Phil. Trans. R. Soc. A 175, 1–21.Google Scholar
Riley, N. 1966 On a sphere oscillating in a viscous fluid. Q. J. Mech. Appl. Maths 19, 461–472.Google Scholar
Riley, N. 1967 Oscillatory viscous flows: review and extension. J. Inst. Maths Applics 3, 419–434.Google Scholar
Riley, N. 1987 Streaming from a cylinder due to an acoustic source. J. Fluid Mech. 180, 319–326.Google Scholar
Schlichting, H. 1955 Boundary Layer Theory. Pergamon.
Stuart, J. T. 1963 Laminar Boundary Layers, chap. 7. Oxford University Press.
Stuart, J. T. 1966 Double boundary layers in oscillatory viscous flow. J. Fluid Mech. 24, 673–687.Google Scholar
Wang, C.-Y. 1972 Acoustic streaming of a cylinder near an unsteady source. Recent Research on Unsteady Boundary Layers. IUTAM Symposium Quebec 1971, pp. 1653–1678. Quebec, Laval University Press.
Wang, C.-Y. 1982 Acoustic streaming of a sphere near an unsteady source. J. Acoust. Soc. Am. 71, 580–584.Google Scholar
Westervelt, P. J. 1953 The theory of steady rotational flow generated by a sound field. J. Acoust. Soc. Am. 25, 60–67.Google Scholar