Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-19T18:16:52.040Z Has data issue: false hasContentIssue false

On vortex formation from a cylinder. Part 2. Control by splitter-plate interference

Published online by Cambridge University Press:  21 April 2006

M. F. Unal
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA
D. Rockwell
Affiliation:
Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015, USA

Abstract

Control of vortex formation from a circular cylinder by a long plate in its wake is examined over the Reynolds number range 140 < Re < 3600. There are two basic flow regimes: a pre-vortex formation regime, in which the plate precludes formation of a large-scale vortex upstream of the tip of the plate; and a post-vortex formation regime in which one or more large-scale vortices are formed upstream of the edge. The unsteady pressure loading at the tip of the plate increases by over an order of magnitude during transition from the pre- to post-vortex formation regime. If the plate is located near the cylinder, it is possible to more than double the vortex formation length, relative to the case of the free wake. Moreover, these observations suggest that: there is a minimum streamwise lengthscale for development of the absolute instability of the near wake and thereby the large-scale vortex; and the vortex formation length may also be influenced by the downstream vorticity dynamics. When the plate is located downstream of the initially formed vortex, effective control is possible when the near-wake fluctuation level and mean base pressure of the corresponding free (non-impinging) wake are sufficiently small. This occurs in the low and moderate subcritical regimes; the substantial control by the wake-plate interaction in this range of Reynolds number implies low strength of the absolute instability of the near wake. However, in the pure von Kármán regime, selfcontrol of the near wake dominates that imposed by the wake-edge interaction, suggesting a strong absolute instability of the near wake.

Type
Research Article
Copyright
© 1988 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

Bloor, M. S. 1964 The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290304.Google Scholar
Gerrard, J. H. 1978 The wakes of cylindrical bluff bodies at low Reynolds number. Phil. Trans. R. Soc. Lond. A 288, 351382.Google Scholar
Ho, C. M. & Huang L. S. 1982 Subharmonics and vortex merging in mixing layers. J. Fluid Mech., 119, 443473.Google Scholar
Johnson, C. O. & Loehrke, R. I. 1984 An experimental investigation of wake edge tones. AIAA J. 22, 9, 12491253Google Scholar
Kaykayoglu, R. & Rockwell, D. 1985 Planar Jet-edge interactions: Flow mechanisms and instantaneous pressure fields. J. Fluid Mech. 156, 439461.Google Scholar
Koch, W. 1985 Local instability characteristics and frequency determination of self-excited wake flows. J. Sound Vib. 99, 5383.Google Scholar
Miksad, R. W. 1972 Experiments in the nonlinear stages of free shear layer transition. J. Fluid Mech. 56, 695719.Google Scholar
Monkewitz, P. & Nguyen, L. N. 1986 Absolute instability in the near-wake of two-dimensional bluff bodies. J. Fluids Struct. 1, 165184.Google Scholar
Morkovin, M. 1964 Flow around circular cylinders - a kaleidoscope of challenging fluid phenomenon. ASME Symposium on Fully Separated Flows, pp. 102118.
Powell, A. 1961 On the edgetone. J. Acoust. Soc. Am. 33, 395409.Google Scholar
Rockwell, D. 1983 Oscillations of impinging shear layers. AIAA J. 21, 645664.Google Scholar
Rockwell, D. & Naudascher, E. 1979. Self-sustained oscillations of impinging shear layers. Ann. Rev. Fluid Mech. 11, 6794.Google Scholar
Roshko, A. 1954 On the drag and shedding frequency of two-dimensional bluff bodies. NACA Tech Note 3169.
Roshko, A. & Fiszdon, W. 1969 On the persistence of transition in the near-wake. SIAM J. 607616.Google Scholar
Smith, C. A. & Karamcheti, K. 1978 Some features of a wake tone flow field. AIAA J. 72238.Google Scholar
Unal, M. F. 1985 Vortex formation from bluff and thin trailing-edges. PhD dissertation, Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015.
Unal, M. F. & Rockwell, D. 1988 On vortex formation from a cylinder. Part 1. The initial instability. J. Fluid Mech. 190, 491512Google Scholar
Wei, T. & Smith, C. R. 1986 Secondary vortices in the wake of circular cylinders. J. Fluid Mech., 169, 513533.Google Scholar
Zdravkovich, M. M. 1987 Flow Past Cylinders Springer (in press).