Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-19T13:31:51.397Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow along a horizontal plate near a free surface

Published online by Cambridge University Press:  26 April 2006

Milan Hofman
Milan Hofman
Affiliation:
Faculty of Mechanical Engineering, University of Belgrade, 27 marta 80, 11000 Belgrade, Yugoslavia
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of flow along a horizontal semi-infinite flat plate moving in its own plane through a viscous liquid just below the free surface is considered. The method of matched asymptotic expansions is used to analyse the interaction between the free surface and the boundary layer formed on the plate. It is found that, due to viscosity, small-amplitude gravity waves on the free surface can be formed. The formulae for the resistance of the plate containing the free-surface effect and for the lift, appearing as a new phenomenon, are derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 252 , July 1993 , pp. 399 - 418
Copyright
© 1993 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

Blasius, H. 1908 Z. Math. Phys. 56, 1–37.
Froude, W. 1877 Trans. Inst. Nav. Arch. 17.
Havelock, T. H. 1935 Proc. R, Soc. Lond. A 149, 417–436.
Hofman, M. 1986 PhD thesis, University of Belgrade (in Serbo-Croatian).
Imai, I. 1957 J. Aeronaut. Sci. 24, 155–156.
Inui, T. 1957 Soc. Nav. Arch. Japan, 60th Anniv. Series 2, 173–355.
Lewis., E. V (ed.) 1988 Principles of Naval Architecture, vol. 2. SNAME.
Lighthill, M. J. 1958 In Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press.
Lighthill, J. 1978 Waves in Fluids. Cambridge University Press.
Maruo, H. 1976 Intl Seminar on Wave Resistance, vol. 5, pp. 217–238.
Mori, K. 1979 Mem. Fac. of Engng, Hiroshima 7, 9–19.
Paterson, A. R. 1983 Fluid Dynamics. Cambridge University Press.
Sretenski, L. N. 1977 Theory of Wave Motion of Liquids. Nauka (in Russian).
Stern, F. 1986 J. Ship Res. 30, 256–274.
Vanden-Broeck, J.-M. & Dias, F. 1991 Phys. Fluids A 3, 2995–3000.
Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics. Parabolic.
Wehausen, J. W. & Laitone, E. V. 1960 Handbuck der Physik IX Springer.
Wigley, W. C. S. 1963 Intl Seminar on Theoretical Wave Resistance, vol. 3, p. 1294.
Wu, T. Y. 1963 Intl Seminar on Theoretical Wave Resistance, vol. 3, pp. 1262–1287.