Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-09T06:13:12.503Z Has data issue: false hasContentIssue false
  • English
  • Français

Double boundary layers in standing interfacial waves

Published online by Cambridge University Press:  11 April 2006

B. D. Dore
B. D. Dore
Affiliation:
Department of Mathematics, University of Reading, Berkshire, England
Get access Rights & Permissions [Opens in a new window]

Abstract

The double-boundary-layer theory of Stuart (1963, 1966) and Riley (1965, 1967) is employed to investigate the mass transport velocity due to two-dimensional standing waves in a system comprising two homogeneous fluids of different densities and viscosities. The most important double-boundary-layer structure occurs in the neighbourhood of the oscillating interface, and the possible existence of jet-like motions is envisaged at nodal positions, owing to the nature of the mean flows in the layers. In practice, the magnitude of the mass transport velocity can be a significant fraction of that of the primary, oscillatory velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 4 , 25 August 1976 , pp. 819 - 828
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Dore, B. D. 1970 Mass transport in layered fluid systems. J. Fluid Mech 40, 113–126.Google Scholar
Dore, B. D. 1973 On mass transport induced by interfacial oscillations at a single frequency. Proc. Camb. Phil. Soc 74, 333–347.Google Scholar
Dore, B. D. 1976 Double boundary layers in standing surface waves. Pure Appl. Geophys. (to be published).Google Scholar
Longuet-Higgins, M. S. 1953 Mass transport in water waves. Phil. Trans. A 245, 535–581.Google Scholar
Mei, C. C., Liu, P. L.-F. & Carter, T. G. 1972 Mass transport in water waves. Ralph M. Parsons Lab. Water Resources Hydrodyn. M.I.T. Rep. no. 146.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. Math. Appl 3, 419–434.Google Scholar
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