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A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder

Published online by Cambridge University Press:  26 April 2006

D. A. Lyn
Affiliation:
School of Civil Engineering, Purdue University, W. Lafayette, IN 47907, USA
S. Einav
Affiliation:
Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
W. Rodi
Affiliation:
Institute for Hydromechanics, Universität. Karlsruhe, D-7500 Karlsruhe, Germany
J.-H. Park
Affiliation:
Chungnam National University, Taejon, Korea

Abstract

Ensemble-averaged statistics at constant phase of the turbulent near-wake flow (Reynolds number ≈ 21400 around a square cylinder have been obtained from two-component laser-Doppler measurements. Phase was defined with reference to a signal taken from a pressure sensor located at the midpoint of a cylinder sidewall. The distinction is drawn between the near wake where the shed vortices are ‘mature’ and distinct and a base region where the vortices grow to maturity and are then shed. Differences in length and velocity scales and vortex celerities between the flow around a square cylinder and the more frequently studied flow around a circular cylinder are discussed. Scaling arguments based on the circulation discharged into the near wake are proposed to explain the differences. The relationship between flow topology and turbulence is also considered with vorticity saddles and streamline saddles being distinguished. While general agreement with previous studies of flow around a circular cylinder is found with regard to essential flow features in the near wake, some previously overlooked details are highlighted, e.g. the possibility of high Reynolds shear stresses in regions of peak vorticity, or asymmetries near the streamline saddle. The base region is examined in more detail than in previous studies, and vorticity saddles, zero-vorticity points, and streamline saddles are observed to differ in importance at different stages of the shedding process.

Type
Research Article
Copyright
© 1995 Cambridge University Press

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References

Bearman, P. W. 1967 On vortex street wakes. J. Fluid Mech. 28, 625641.Google Scholar
Bearman, P. W. 1969 On vortex shedding from a circular cylinder in the critical Reynolds number regime. J. Fluid Mech. 37, 577585.Google Scholar
Bearman, P. W. & Obasaju, E. D. 1982 An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders J. Fluid Mech. 119, 297321.Google Scholar
Bearman, P. W. & Trueman, D. M. 1972 An investigation of the flow around rectangular cylinders. Aero. Q. 23, 229237.Google Scholar
Cantwell, B. J. & Coles, D. 1983 An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 135, 321374 (referred to herein as CC).Google Scholar
Courchesne, J. & Lanemlle, A. 1982 An experimental evaluation of drag coefficient for rectangular cylinders exposed to grid turbulence. Trans ASME I: J. Fluids Engng 104, 523527.Google Scholar
Durao, D. F. G., Heitor, M. V. & Pereira, J. C. F. 1986 A laser anemometry study of separated flow around a squared obstacel. In Laser Anemometry in Fluid Mechanics III (ed. R. J. Adrian, et al.). LADOAN-IST, Lisbon, Portugal.
Durao, D. F. G., Heitor, M. V. & Pereira, J. C. F. 1988 Measurements of turbulent and periodic flows around a square cross-section cylinder. Exps. Fluids 6, 298304.Google Scholar
Page, A. & Johansen, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. R. Soc. Land. A 116, 170197.Google Scholar
Face, A. & Johansen, F. C. 1928 The structure of vortex sheets. Phil. Mag. (7) 5, 417441.Google Scholar
Gerrard, J. H. 1966 The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25, 401413.Google Scholar
Hussain, A. K. M. F. 1983 Coherent structures - reality and myth. Phys. Fluids 26, 28162850.Google Scholar
Hussain, A. K. M. F. 1986 Coherent structures and turbulence. J. Fluid Mech. 173, 303356.Google Scholar
Hussain, A. K. M. F. & Hayakawa, M. 1987 Eduction of large-scale organized structures in a turbulent plane wake. J. Fluid Mech. 180, 193229 (referred to herein as HH).Google Scholar
Hussain, A. K. M. F. & Reynolds, W. 1970 The mechanics of an organized wave in turbulent shear flow. J. Fluid Mech. 41, 241258.Google Scholar
Kármán, T. von 1912 Über den Mechanismus des Widerstandes, den ein bewegter Körper in einer Flüßigkeit erfährt. Göttingen Nachr., Math.-Phys. Klasse, pp. 547556.
Kiya, M. & Matsumura, M. 1988 Incoherent turbulence structure in the near wake of a normal plate. J. Fluid Mech. 190, 343356.Google Scholar
Lyn, D. A. 1992 Ensemble-averaged measurements in the turbulent near wake of a square cylinder: a guide to the data. Rep. CE-HSE-92-6. School of Civil Engng, Purdue University.
Lyn, D. A. & Rodi, W. 1994 The flapping separated shear layer formed by flow separation from the forward corner of a square cylinder. J. Fluid Mech. 267, 353376.Google Scholar
McKiLLOP, A. A. & Durst, F. 1986 A laser anemometry study of separated flow behind a circular cylinder. In Laser Anemometry in Fluid Mechanics II (ed. R. J. Adrian, et al.) LADOAN-IST, Lisbon, Portugal.
Nakamura, Y. 1993 Bluff-body aerodynamics and turbulence. J. Wind Engng Ind. Aero. 49, 6578.Google Scholar
Norberg, C. 1993 Flow around rectangular cylinders: Pressure forces and wake frequencies. J. Wind Engng Ind. Aero. 49, 187196.Google Scholar
Oshima, H. & Ramaprian, B. R. 1991 The use of particle image velocimetry to study vortex shedding behind a cylinder. Trans. ASME I: J. Fluids Engng 108, 1520.Google Scholar
Ottino, J. M. 1989 The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press.
Owen, F. K. & Johnson, D. A. 1980 Measurements of unsteady vortex flowfields. AIAA J. 18, 11731179.Google Scholar
Perry, A. E., Chong, M. S. & Lim, T. T. 1982 The vortex shedding process behing two-dimensional bodies J. Fluid Mech. 116, 7790.Google Scholar
Perry, A. E. & Fairlie, B. D. 1974 Critical points in flow patterns. Adv. Geophys. B 18, 299315.Google Scholar
Perry, A. E. & Steiner, T. R. 1987 Large-scale vortex structures in turbulent wakes behind blufT bodies. Part 1. Vortex formation processes. J. Fluid Mech. 174, 233270.Google Scholar
Roshko, A. 1954 On the drag and shedding frequency of two-dimensional bluff bodies. NACA TN 3169.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Triantafyllou, G. S., Triantafyllou, M. S. & Chryssostomidis, C. 1986 On the formation of vortex streets behind stationary cylinders. J. Fluid Mech. 170, 461477.Google Scholar
West, G. S. & Apelt, C. J. 1982 The effects of tunnel blockage and aspect ratio on the mean flow past a circular cylinder with Reynolds number between 104 and 105. J. Fluid Mech. 114, 361377.Google Scholar
Zhou, Y. & Antonia, R. A. 1994 Critical points in a turbulent near wake. J. Fluid Mech. 275, 5982.Google Scholar