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Wake-Shear Layer Interaction and the Onset of Turbulence Behind a Circular Cylinder

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Turbulent Shear Flows 5

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Abstract

The formation zone of the large regular vortices of the wake of a circular cylinder (0 < X/D < 3) in the subcriticai regime (2,400 < Re D < 60,000) is studied with and without the introduction of a splitter plate. Spectral properties are used to describe the different stages of the interaction between shear layer vortices and alternating ones. Some physical properties of this interaction, emerging from a numerical simulation using a pressure-velocity formulation, are examined separately. Both unexcited and excited 2D-plane mixing layers are studied using streakline maps and time traces of the dynamical properties.

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Abbreviations

b):

Shear layer width (distance 0.95 U 1 and 1.05 U 2)

b 0):

Numerical reference length

D):

Diameter of the cylinder

f):

Frequency

fs):

Vortex shedding frequency

ft):

Shear layer frequency

ff):

Forcing frequency

df):

Frequency resolution (sampling frequency/number of points)

Puu(f)):

Discrete power spectrum of velocity

P0):

Total power of the signal \( \mathop{\smallint }\limits_{{ - \infty }}^{{ + \infty }} {P_{{uu}}}\left( f \right)df \)

R):

=(U1 - U2)/(U1 + U2): velocity ratio

Re D ):

=(U0*D)/v: wake Reynolds number

Re b ):

=U1*b0/v: shear layer Reynolds number

St D ):

=f s *D/U 0 : wake Strouhal number

T):

Numerical time value

U 0):

External uniform velocity

Um):

=(U1+U2)/2: shear layer reference velocity

U 1):

(resp. U 2 ) External higher (lower) velocity

X, Y):

Geometrical position

α):

Non integer coefficient

v):

Kinematic viscosity

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Author information

Authors and Affiliations

  1. Institut de Mecanique des Fluides de l’Institut National Polytechnique de Toulouse, Departement de Recherche de l’Enseeiht, Laboratoire Associe au CNRS LA-04005, 2 rue Charles Camichel, 31071, Toulouse, France

    A. Kourta, H. C. Boisson, M. Braza, P. Chassaing & H. Ha Minh

Authors
  1. A. Kourta
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  2. H. C. Boisson
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  3. M. Braza
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  4. P. Chassaing
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  5. H. Ha Minh
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Strömungsmechanik, Technische Fakultät, Friedrich-Alexander-Universität, Egerlandstraße 13, D-8520, Erlangen, Fed. Rep. of Germany

    Franz Durst

  2. Department of Mechanical Engineering, Institute of Science and Technology, University of Manchester, PO Box 88, Manchester, M60 1QD, England

    Brian E. Launder

  3. Sibley School of Mechanical Aero Engineering, Cornell University, 238 Upson Hall, Ithaca, NY, 14853, USA

    John L. Lumley

  4. Mechanical Engineering Department, The Pennsylvania State University, University Park, PA, 16802, USA

    Frank W. Schmidt

  5. Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, London, SW7 2BX, England

    James H. Whitelaw

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© 1987 Springer-Verlag Berlin Heidelberg

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Kourta, A., Boisson, H.C., Braza, M., Chassaing, P., Minh, H.H. (1987). Wake-Shear Layer Interaction and the Onset of Turbulence Behind a Circular Cylinder. In: Durst, F., Launder, B.E., Lumley, J.L., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71435-1_9

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  • DOI: https://doi.org/10.1007/978-3-642-71435-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71437-5

  • Online ISBN: 978-3-642-71435-1

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