Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-05-01T12:37:47.685Z Has data issue: false hasContentIssue false
  • English
  • Français

Discrete-vortex simulation of a turbulent separation bubble

Published online by Cambridge University Press:  20 April 2006

Masaru Kiya ,
Kyuro Sasaki  and
Mikio Arie
Masaru Kiya
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, 060, Japan
Kyuro Sasaki
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, 060, Japan
Mikio Arie
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, 060, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The discrete-vortex model is applied to simulate the separation bubble over a two- dimensional blunt flat plate with finite thickness and right-angled corners, which is aligned parallel to a uniform approaching stream. This flow situation is chosen because, unlike most previous applications of the model, the separation bubble is supposed to be strongly affected by a nearby solid surface. The major objective of this paper is to examine to what extent the discrete-vortex model is effective for such a flow. A simple procedure is employed to represent the effect of viscosity near the solid surface; in particular, the no-slip condition on the solid surface. A reduction in the circulation of elemental vortices is introduced as a function of their ages in order to represent the three-dimensional deformation of vortex filaments, An experiment was also performed for comparison purposes.

The calculation yielded reasonable predictions of the time-mean and r.m.s. values of the velocity and the surface-pressure fluctuations, together with correlations between their fluctuating components, over most of the separation bubble. The interrelation between instantaneous spatial variations of the surface-pressure and velocity fluctuations were also obtained. A comparison between the calculated and measured results suggests that, in the real flow, the three-dimensional deformation of vortex filaments will become more and more dominant as the reattachment point is approached.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 120 , July 1982 , pp. 219 - 244
Copyright
© 1982 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

Acton, E. 1980 A modelling of large eddies in an axisymmetric jet. J. Fluid Mech. 98, 1–31.Google Scholar
Aref, H. & Siggia, E. D. 1980 Vortex dynamics of the two-dimensional turbulent shear layer. J. Fluid Mech. 100, 705–737.Google Scholar
Ashurst, W. T. 1979a Calculation of plane sudden expansion flow via vortex dynamics. Sandia Lab. Rep. SAND 79–8679.Google Scholar
Ashurst, W. T. 1979b Numerical simulation of turbulent mixing layers via vortex dynamics. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 402–413. Springer.
Ashurst, W. T., Durst, F. & Tropea, C. 1980 Two-dimensional separated flows: Experiment and discrete vortex dynamics simulation. Sandia Labs Energy Rep. SAND 79–8830.Google Scholar
Bradbury, L. J. S. 1976 Measurements with a pulsed-wire and a hot-wire anemometer in the highly turbulent wake of a normal flat plate. J. Fluid Mech. 77, 473–497.Google Scholar
Chorin, A. J. 1973 Numerical study of slightly viscous flow. J. Fluid Mech. 57, 785–796.Google Scholar
Clark, J. A. & Kit, L. 1980 Shear layer transition and the sharp-edged orifice. Trans. A.S.M.E. I, J. Fluids Engng 102, 219–225.Google Scholar
Clements, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321–336.Google Scholar
Clements, R. R. & Maull, D. J. 1975 The representation of sheets of vorticity by discrete vortices. Prog. Aerospace Sci. 16, 129–146.Google Scholar
Evans, R. A. & Bloor, M. I. G. 1977 The starting mechanism of wave-induced flow through a sharp-edged orifice. J. Fluid Mech. 82, 115–128.Google Scholar
Hillier, R. & Cherry, N. J. 1981 The effects of stream turbulence on separation bubbles. J. Wing Engng Ind. Aerodyn. 8, 49–58.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Kiya, M. & Arie, M. 1977 A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow. J. Fluid Mech. 82, 223–240.Google Scholar
Kiya, M. & Arie, M. 1980 Discrete-vortex simulation of unsteady separated flow behind a nearly normal plate. Bull. Japan Soc. Mech. Engrs 23, 1451–1458.Google Scholar
Komatsu, S. & Kobayashi, H. 1980 Vortex-induced oscillation of bluff cylinders. J. Wind Engng Ind. Aerodyn. 6, 335–362.Google Scholar
Leonard, A. 1980 Vortex methods for flow simulation. J. Comp. Phys. 37, 289–335.Google Scholar
Nagano, S., Naito, M. & Takata, H. 1981 Analysis of the flow past rectangular cylinders by the discrete-vortex method. Trans. Japan Soc. Mech. Engrs 47, 32–43.Google Scholar
Ota, T. & Itasaka, M. 1976 A separated and reattached flow on a blunt flat plate. Trans. A.S.M.E. I, J. Fluids Engng 98, 79–86.Google Scholar
Ota, T. & Kon, N. 1974 Heat transfer in the separated and reattached flow on a blunt flat plate. Trans. A.S.M.E. C, J. Heat Transfer 96, 459–462.Google Scholar
Ota, T. & Narita, M. 1978 Turbulence measurements in a separated and reattached flow over a blunt flat plate. Trans. A.S.M.E. I, J. Fluids Engng 100, 224–228.Google Scholar
Sarpkaya, T. & Shoaf, R. L. 1979 Inviscid model of two-dimensional vortex shedding by a circular cylinder. A.I.A.A. J. 17, 1193–1200.Google Scholar
Tani, I., Iuchi, M. & Kodoma, H. 1961 Experimental investigation of flow separation associated with a step or a groove. Aeronautical Res. Inst., University of Tokyo, Rep. no. 364.Google Scholar
Wedding, J. B., Robertson, J. M., Peterka, J. A. & Akins, R. E. 1978 Spectral and probability—density nature of square-prism separation—reattachment wall pressures. Trans. A.S.M.E. I, J. Fluids Engng 100, 485–492.Google Scholar