Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-18T17:40:18.339Z Has data issue: false hasContentIssue false
  • English
  • Français

Irrotational flow past bodies close to a plane surface

Published online by Cambridge University Press:  29 March 2006

E. O. Tuck
E. O. Tuck
Affiliation:
Department of Applied Mathematics, University of Adelaide
Get access Rights & Permissions [Opens in a new window]

Abstract

A theroetical analysis is given for potential flow over, around and under a vehicle of general shape moving close to a plane ground surface. Solutions are given both in the form of a small-gap asymptotic expansion and a direct numerical computation, with close agreement between the two for two-dimensional flows with and without circulation. Some results for three-dimensional bodies are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 50 , Issue 3 , 14 December 1971 , pp. 481 - 491
Copyright
© 1971 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

Frank, W. 1967 Oscillation of cylinders in or below the free surface of deep fluids. Naval Ship R. & D. Center, Washington Rep. no. 2375.Google Scholar
Giesing, J. P. & Smith, A. M. O. 1967 Potential flow about two-dimensional hydrofoils. J. Fluid Mech. 28, 113–129.Google Scholar
Havelock, T. H. 1939 Note on the sinkage of a ship at low speeds. Z. angew. Math. Mech. 19, 202–205.Google Scholar
Hess, J. L. & Smith, A. M. O. 1964 Calculation of non-lifting potential flow about arbitrary three-dimensional bodies. J. Ship Res. 8, 22–44.Google Scholar
Marcell, R. P. & Romberg, G. F. 1970 Daytona's wind tunnel proven design is confirmed by race wins. Soc. Auto Engrs J. 78, 52–55.Google Scholar
Milne-Thomson, L. M. 1960 Theoretical hydrodynamics, 4th ed. Macmillan.
Morelli, A. 1964 Theoretical method for determining the lift distribution on a vehicle. Proc. Int. Auto. Tech. Cong. (F.I.S.I.T.A.) Tokyo, 140–151.
Newman, J. N. 1965 The force and moment on a slender body of revolution moving near a wall. Naval Ship R. & D. Center, Washington Rep. no. 2127.Google Scholar
Newman, J. N. 1970 Lateral motion of a slender body between two parallel walls. J. Fluid Mech. 39, 97–115.Google Scholar
Potthoff, J. 1969 Air resistance and lift of modern motor vehicles (in German). First Symp. Road Vehicle Aero. (ed. A. Scibor-Rylski). London: City University.
Taylor, P. J. 1971 Ph.D. thesis, University of Adelaide.
Tetens, T. A. 1966 Development of a body ventilation system. Gen. Motors Eng. J. 3 (1), 32–37.Google Scholar
Tuck, E. O. 1966 Shallow-water flows past slender bodies. J. Fluid Mech. 26, 81–95.Google Scholar
Tuck, E. O. & Taylor, P. J. 1970 Shallow water problems in ship hydrodynamics. Proc. Eighth Symp. on Naval Hydro., Pasadena. Washington: Office of Naval Research.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Widnall, S. E. & Barrows, T. M. 1970 An analytic solution for two- and three-dimensional wings in ground effect. J. Fluid Mech. 41, 769–792.Google Scholar