Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-18T16:30:53.939Z Has data issue: false hasContentIssue false
  • English
  • Français

An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate

Published online by Cambridge University Press:  29 March 2006

Turgut Sarpkaya
Turgut Sarpkaya
Affiliation:
Department of Mechanical Engineering, Naval Postgraduate School, Monterey, California 93940
Get access Rights & Permissions [Opens in a new window]

Abstract

A potential flow model of two-dimensional vortex shedding behind an inclined plate is developed. The free shear layers which emanate from the sides of the plate are represented by discrete vortices through the use of the appropriate complex-velocity potential, the Kutta condition and the Joukowsky transformation between a circle and the plate cross-section. The analysis is then applied to predict the kinematic and dynamic characteristics of the flow for various angles of attack. The results compare favourably with the available experimental data as far as the form of vortex shedding and the Strouhal number are concerned. The calculated normal-force coefficients are 20−25% yo larger than those measured by Fage & Johansen (1927).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 68 , Issue 1 , 11 March 1975 , pp. 109 - 128
Copyright
© 1975 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

Abernathy, F. H. 1962 Flow over an inclined plate. J. Basic Engng, Trans. A.S.M.E. D 84, 380.Google Scholar
Birkhoff, G. 1955 Hydrodynamics, Study in Logic, Fact, and Similitude, p. 18. Dover.
Chaplin, J. R. 1973 Computer model of vortex shedding from a cylinder. Proc. A.S.C.E. Hyd. Div. 99, 155.Google Scholar
Chorin, A. J. & Bernard, P. S. 1972 Discretization of a vortex sheet with an example of roll-up. College of Engng, University of California, Berkeley, Rep. FM-72-5.
Clements, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321.Google Scholar
Clements, R. R. & Maull, D. J. 1975 The representation of sheets of vorticity by discrete vortices. Prog. Aero. Sci. 16 (to appear).Google Scholar
Fage, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. Roy. Soc. A 116, 170.Google Scholar
Fage, A. & Johansen, F. C. 1928 The structure of the vortex sheet. Phil. Mag. 7 (7), 417.Google Scholar
Flachsbart, O. 1932 Messungen an ebenen und gewolbten Platten. Ergebn. Aerodyn. Versuclzsanstalt Göttingen, 4, 96.Google Scholar
Gerrard, J. H. 1967 Numerical computation of the magnitude and frequency of the lift on a circular cylinder. Phil. Trans. A 261, 137.Google Scholar
Kronauer, R. E. 1964 I.U.T.A.M. Conf. on Concentrated Vortex Motions.
Kuwahara, K. 1973 Numerical study of flow past an inclined flat plate by an inviscid model. J. Phys. SOC. Japan, 35, 1545.Google Scholar
Lamb, H. 1945 Hydrodynamics, 6th edn. Dover.
Mair, W. A. & Maull, D. J. 1971 Bluff bodies and vortex shedding - a report on Euromech 17. J. Fluid Mech. 45, 209.Google Scholar
Moore, D. W. 1971 The discrete vortex approximation of a finite vortex sheet. Calif. Inst. Tech. Sci. Rep. Afosr-TR-72-0034.Google Scholar
Moore, D. W. 1974 A numerical study of the roll-up of a finite vortex sheet. J. Fluid Mech. 63, 225.Google Scholar
Rosenhead, L. 1931 The formation of vortices from a surface of discontinuity. Proc. Roy. Soc. A 134, 170.Google Scholar
Sadler, L. H. 1973 Flow about an oscillating cylinder and frequency synchronization. M.S. thesis, Naval Postgraduate School, Monterey.
Saks, A. H., Lundberg, R. E. & Hansen, C. W. 1967 A theoretical investigation of the aerodynamics of slender wing-body combinations exhibiting leading-edge separation. N.A.S.A. Current Rep. no. 719.Google Scholar
Sarpkaya, T. 1967 Separated unsteady flow about a rotating plate. In Developments in Mechanics (ed. J. E. Cermak & J. R. Goodman), vol. 4, p. 1485. Colorado State University.
Sarpkaya, T. 1968 An analytical study of separated flow about circular cylinders. J. Basic Engng, Trans. A.8.M.E. D 90, 511.Google Scholar
Sarpkaya, T. Garrison, C. J. 1963 Vortex formation and resistance in unsteady flow. J. Appl. Mech., Trans. A.S.M.E. 30, 16.Google Scholar
Schaefer, J. W. Eskinazi, S. 1959 An analysis of the vortex street generated in a viscous fluid. J. Fluid Mech. 6, 241.Google Scholar
Schubauer, G. B. Dryden, H. L. 1935 The effect of turbulence on the drag of flat plates. Nat. Bur. Stand. Rep. no. 546, p. 129.Google Scholar
Wedemeyer, E. 1961 Ausbildung eines Wirbelpaares an den Kanten einer Platte. Ing. Arch. 30, 187.Google Scholar
Wu, T. Y. 1962 A wake model for free-streamline flow theory. Part 1. Fully and partially developed wake flows and cavity flows past an oblique flat plate. J. Fluid Mech. 13, 161.Google Scholar