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An inviscid numerical simulation of vortex shedding from an inclined flat plate in shear flow

Published online by Cambridge University Press:  12 April 2006

Masaru Kiya  and
Mikio Arie
Masaru Kiya
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, Japan
Mikio Arie
Affiliation:
Faculty of Engineering, Hokkaido University, Sapporo, Japan
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Abstract

Two-dimensional vortex shedding behind an inclined flat plate in uniform shear flow is numerically investigated by means of an inviscid discrete-vortex approximation. The points of appearance of the vortices are fixed in the plane of the plate at a short distance downstream of the edges of the plate. The strengths of the vortices are determined from the Kutta condition. On the assumption that the steadily periodic flow patterns are independent of initial conditions, the numerical calculations are performed for an inclined flat plate immersed in an incompressible fluid which is set in motion impulsively from rest with the velocity profile of uniform shear flow. The results of analysis show that the Strouhal number of vortex shedding and the time-averaged values of other hydrodynamic characteristics of the flow such as the outer-edge velocity of the separated shear layers, the convective velocity of the shear layers and the drag force exerted on the plate vary closely linearly with the shear parameter of the approaching shear flow. A linear relation between the Strouhal number and the shear parameter is confirmed by an air-tunnel experiment. The effects of the shear parameter on the calculated vortex patterns in the wake are also presented.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 82 , Issue 2 , 7 September 1977 , pp. 241 - 253
Copyright
© 1977 Cambridge University Press

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References

Abe, T. 1976 Vortex shedding from two-dimensional bluff bodies in shear flow (in Japanese). Graduation thesis, Faculty of Engineering, Hokkaido University.
Berger, E. & Wille, R. 1972 Periodic flow phenomena. Ann. Rev. Fluid Mech. 4, 313.Google Scholar
Chen, C. F. & Mangione, B. J. 1969 Vortex shedding from circular cylinders in sheared flow. A.I.A.A. J. 7, 1211.Google Scholar
Clements, R. R. & Maull, D. J. 1975 The representation of sheets of vorticity by discrete vortices. Prog. Aerospace Sci. 16, 129.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
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.Google Scholar
Kuwahara, K. 1973 Numerical study of flow past an inclined flat plate by an inviscid model. J. Phys. Soc. Japan 35, 1545.Google Scholar
Maull, D. J. & Young, R. A. 1973 Vortex shedding from bluff bodies in a shear flow. J. Fluid Mech. 60, 401.Google Scholar
Morkovin, M. V. 1964 Flow around circular cylinder — a kaleidoscope of challenging fluid phenomena. A.S.M.E. Symp. Fully-Separated Flows, Philadelphia, p. 102.
Sarpkaya, T. 1975 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined flat plate. J. Fluid Mech. 68, 109.Google Scholar
Stansby, P. K. 1976 The locking-on of vortex shedding due to the cross-stream vibration of circular cylinders in uniform and shear flows. J. Fluid Mech. 74, 641.Google Scholar