Hostname: page-component-745bb68f8f-hvd4g Total loading time: 0 Render date: 2025-01-09T21:43:21.987Z Has data issue: false hasContentIssue false
  • English
  • Français

The flow of a viscous incompressible fluid past a normal flat plate at low and intermediate Reynolds numbers: the wake

Published online by Cambridge University Press:  20 April 2006

J. D. Hudson  and
S. C. R. Dennis
J. D. Hudson
Affiliation:
Department of Applied and Computational Mathematics, University of Sheffield. England
S. C. R. Dennis
Affiliation:
Department of Applied Mathematics, University of Western Ontario. London, Ontario, Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

The Navier-Stokes equations are solved numerically for the steady separated flow past a normal flat plate for Reynolds numbers in the range 0.1 ≤ R ≤ 20. Eddy dimensions together with the position of the vortex centre are presented and compared with the few other estimates and predictions available. Streamlines and equivorticity lines are also given. The main result of interest is the extremely good comparison with experimental results over this range of Reynolds numbers. The method of solution is based on an artificial time-dependent procedure using a distorted time. Results are given only for the steady-state flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 160 , November 1985 , pp. 369 - 383
Copyright
© 1985 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

Acrivos, A., Snowden, D. D., Grove, A. S. & Peterson, E. E. 1965 The steady separated flow past a circular cylinder at large Reynolds numbers. J. Fluid Mech. 21, 737.Google Scholar
Acrivos, A., Leal, L. G., Snowden, D. D. & Pan, F. 1968 Further experiments on steady separated flows past bluff objects. J. Fluid Mech. 34, 25.Google Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Belotserkovskii, O. M., Gushchin, V. A. & Shchennikov, V. V. 1975 Use of the splitting method to solve problems of the dynamics of a viscous fluid. USSR Comp. Maths & Math. Phys. 15, 190.Google Scholar
Dennis, S. C. R. & Hudson, J. D. 1980 Further accurate representations of partial differential equations by finite-difference methods. J. Inst. Maths Applics 26, 369.Google Scholar
Harlow, F. H. & Welch, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182.Google Scholar
Hudson, J. D. 1974 Problems relating to the steady motion of a viscous incompressible fluid past a sphere. Ph.D. Thesis, University of Sheffield.
Imai, I. 1957 Univ. Maryland Inst. Fluid Dyn. Appl. Maths Tech. Note BN-104.
Miyagi, T. 1968 Numerical study of Oseen flow past a perpendicular flat plate. J. Phys. Soc. Japan 24, 204.Google Scholar
Miyagi, T. 1978 Standing vortex pair behind a flat plate normal to uniform flow of a viscous fluid. J. Phys. Soc. Japan 45, 175.Google Scholar
Prandtl, L. & Tietjens, O. G. 1934 Applied Hydro- and Aeromechanics. McGraw-Hill.
Roache, P. J. 1972 Computational Fluid Dynamics. Hermosa.
Slotta, L. S., Elwin, E. H., Mercier, H. T. & Terry, M. D. 1969 Stratified reservoir currents. Bull. 44, Engng Expt Station, Oregon State Univ.
Smith, F. T. 1979 Laminar flow of an incompressible fluid past a bluff body: the separation, reattachment, eddy properties and drag. J. Fluid Mech. 92, 171.Google Scholar
Tameda, K. & Miyagi, T. 1962 Laminar viscous flow past a perpendicular flat plate with special reference to high Reynolds numbers. J. Phys. Soc. Japan 17, 373.Google Scholar
Taneda, S. 1968 Rep. Res. Inst. Appl. Mech. Kyushu Univ. 16, 155.
Tomotika, A. & Aoi, T. 1953 The steady flow of a viscous fluid past an elliptic cylinder and a flat plate at small Reynolds numbers. Q. J. Mech. Appl. Maths 6, 294.Google Scholar