Skip to main content
Log in

The turbulent wake of a circular cylinder rotating about the streamwise axis

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

This paper presents measurements in the turbulent wake of a circular cylinder rotating with its axis normal to the free-stream velocity; in other words, the axis of rotation was parallel to the streamwise direction. All three mean velocities and six Reynolds stresses were obtained at three positions downstream of the cylinder, with and without rotation of the free-stream. Most emphasis is given to the latter results because of the better flow quality. The ratio of the circumferential velocity of the cylinder to the free-stream velocity — the swirl number — had a maximum value of 0.6. Measurements for two combinations of the free-stream and angular velocities showed the velocity deficit in the wake to be a multi-valued function of the swirl number, implying that the rotation affected the separation of the cylinder's boundary layer in a complex manner. In the turbulent wake, the rotation did not significantly alter the magnitudes of the normal stresses, but caused large changes to the shape of the profiles of the axial and cross-stream normal stresses. Eventually, the primary (cross-stream) shear stress became almost entirely positive, but there was no corresponding change to the (cross-stream) gradient of the streamwise mean velocity. Despite these alterations to the turbulence, the rotationally-activated generation terms in the Reynolds transport equations never dominated the terms that are common to the wakes of rotating and non-rotating cylinders.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Batchelor GK (1967) An Introduction to Fluid Dynamics, Eq. 3.2.9, C.U.P.

  • Bardina J; Ferziger JH; Rogallo RS (1985) Effect of rotation on isotropic turbulence: computation and modelling. J Fluid Mech 154: 321–336

    Google Scholar 

  • Bidokhti AA; Tritton DJ (1992) The structure of a turbulent free shear layer in a rotating fluid. J Fluid Mech 241: 469–502

    Google Scholar 

  • Cambon C; Jacquin L; Lubrano JL (1992) Toward a new Reynolds stress model for rotating turbulent flows. Phys Fluids A 4: 812–824

    Google Scholar 

  • Cenedese A; Accardo L; Milone R (1988) Phase sampling in the analysis of a propeller wake. Exp Fluids 6: 55–60

    Google Scholar 

  • Clausen PD; Wood DH (1987) Some measurements of swirling flow through an axisymmetric diffuser, 6th Symp. Turbulent Shear Flows, Toulouse, France

  • Clausen PD; Wood DH (1988) An experimental investigation of blade element theory for wind turbines. Part 2: phase-locked average results. J Wind Eng and Ind Aero 31: 305–322

    Google Scholar 

  • Clausen PD; Wood DH (1989) The correction of X-probe results for transverse contamination. J Fluids Eng 111: 226–228

    Google Scholar 

  • Clausen PD; Koh SG; Wood DH (1993) Measurements of a turbulent boundary developing in a conical diffuser. Exptl Thermal Fluid Sci 6: 39–48

    Google Scholar 

  • Cutler AD; Bradshaw P (1991) A crossed hot-wire technique for complex turbulent flows. Exp Fluids 12: 17–22

    Google Scholar 

  • Favier D; Ettaouil A; Maresca C (1989) Numerical and experimental investigation of isolated propeller wakes in axial flight. J Aircraft 26: 837–846

    Google Scholar 

  • Hoffmann PH; Muck KC; Bradshaw P (1985) The effect of concave surface curvature on turbulent boundary layers. J Fluid Mech 161: 371–403

    Google Scholar 

  • Jacquin L; Leuchter O; Cambon C; Mathieu J (1990) Homogeneous turbulence in the presence of rotation. J Fluid Mech 220: 1–52

    Google Scholar 

  • Lakshminarayana B (1986) Turbulence modeling for complex shear flows. A.I.A.A. 24: 1900–1917

    Google Scholar 

  • Mehta RD; Wood DH; Clausen PD (1991) Some effects of swirl on turbulent mixing layer development. Phys Fluids A 3: 2716–2724

    Google Scholar 

  • Nakayama A (1987) Curvature and pressure-gradient effects on a small-deficit wake. J Fluid Mech 175: 215–246

    Google Scholar 

  • Narramore JC; Vermeland R (1992) Navier-Stokes calculations of inboard stall delay due to rotation. J Aircraft 29: 73–78

    Google Scholar 

  • Plesniak MW; Johnston JP (1989) The Effects of Longitudinal Curvature on Turbulent Two-Stream Mixing Layers. Rpt MD-54, Thermosciences Divn, Dept Mechanical Engineering, Stanford University

  • Savill AM (1983) The turbulence structure of a highly curved two-dimensional wake. Proc. IUTAM Symp. on Complex Turbulent Flows, R. Dumas and L. Fulachier (eds.), 185–197, Springer

  • Speziale CG (1989) Turbulence modeling in noninertial frames of reference. Theoret. Comput. Fluid Dynamics 1: 3–19

    Google Scholar 

  • Tritton DJ (1992) Stabilization and destabilization of turbulent shear flow in a rotating fluid. J Fluid Mech 241: 503–523

    Google Scholar 

  • Weygandt JH; Mehta RD (1992) Three-dimensional structure of a curved wake. AIAA Paper 92-0541

  • Witt HT; Joubert PN (1985) Effect of rotation on a turbulent wake, 5th Symp. Turbulent Shear Flows, Cornell

  • Wood DH (1991) A three-dimensional analysis of stall-delay on a horizontal-axis wind turbine. J Wind Eng and Ind Aero 37: 1–14

    Google Scholar 

  • Wood DH; Mehta RD; Koh SG (1992) Structure of a swirling turbulent mixing layer. Exptl Thermal Fluid Sci 5: 196–202

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported by the Australian Research Council. Most of the data acquisition software was written by Mr J. J. Smith.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wood, D.H., Peterson, P.L. & Clausen, P.D. The turbulent wake of a circular cylinder rotating about the streamwise axis. Experiments in Fluids 16, 375–384 (1994). https://doi.org/10.1007/BF00202061

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00202061

Keywords

Navigation