Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-22T07:18:45.107Z Has data issue: false hasContentIssue false
  • English
  • Français

A contribution to an inviscid vortex-shedding model for an inclined flat plate in uniform flow

Published online by Cambridge University Press:  12 April 2006

Masaru Kiya  and
Mikio Arie
Masaru Kiya
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

Unsteady separated flow behind an inclined flat plate is numerically studied through the use of the discrete-vortex approximation, in which the shear layers emanating from the edges of the plate are represented by an array of discrete vortices introduced into the flow field at appropriate time intervals at some fixed points near the edges of the plate. The strengths of the nascent vortices are chosen so as to satisfy the Kutta condition at the edges of the plate. Numerical calculations are performed for a plate at 60° incidence impulsively started from rest in an otherwise stationary incompressible fluid, by systematically changing the distance between the location of the nascent vortices and the edges of the plate. The temporal changes in the drag force, the rate of vorticity transport at both edges of the plate and the velocity of the separated shear layers are given together with the flow patterns behind the plate on the basis of this model. The results of the computation show that the vortex street behind the plate inclines as a whole towards the direction of the time-averaged lift force exerted on the plate. It is also predicted from the calculations that the vortex shedding at one edge of the plate will not occur at the mid-interval of the successive vortex shedding at the other edge. The predicted flow patterns are not inconsistent with a few experimental observations based on the flow-visualization technique.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 82 , Issue 2 , 7 September 1977 , pp. 223 - 240
Copyright
© 1977 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 flat plate. J. Basic Engng, Trans. A.S.M.E. D 84, 380.Google Scholar
Chaplin, J. R. 1973 Computer model of vortex shedding from a cylinder. J. Hydraul. Div., Proc. A.S.C.E. HY 1, 155.
Chorin, A. J. 1973 Numerical study of slightly viscous fluid. J. Fluid Mech. 57, 785.Google Scholar
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. 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
Gerrard, J. H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25, 401.Google Scholar
Gerrard, J. H. 1967 Numerical computation of the magnitude and frequency of the lift on a circular cylinder. Phil. Trans. Roy. Soc. A 211, 137.Google Scholar
Gerrard, J. H. 1967 Numerical computation of the magnitude and frequency of the lift on a circular cylinder. Phil. Trans. Roy. Soc. A 261, 137.Google Scholar
Goldstein, S. 1965 Modern Developments in Fluid Dynamics, vol. 2. Dover.
Kuwahara, K. 1973 Numerical study of flow past an inclined flat plate by an inviscid model. J. Phys. Soc. Japan 35, 1545.Google Scholar
Lugt, H. J. & Haussling, H. J. 1974 Laminar flow past an abruptly accelerated elliptic cylinder at 45 incidence. J. Fluid Mech. 65, 711.Google Scholar
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
Takahashi, T. 1976 Vortex shedding behind two-dimensional bluff bodies in dilute polymer solutions (in Japanese). Graduation thesis, Faculty of Engineering, Hokkaido University.