Passive Scalar and Velocity Fields in a Turbulent Cylinder Near Wake

  • J. G. Chen
  • H. L. Cao
  • T. M. Zhou
  • R. A. Antonia
  • Y. ZhouEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


This work aims to provide an exploration of the spectral analogy between the enstrophy and the scalar dissipation rate, as well as between the passive scalar and the velocity vector fluctuations, especially in the context of the highly organized aspects that exist in the near wake. Measurements were taken in the wake of a heated circular cylinder at x/d = 10–40, with a Reynolds number of 2540. The resutls indicate that there is a reasonable analogy between the spectra corresponding to enstrophy and passive scalar dissipation rate, the small departures being caused by coherent motions. The spectral analogy between the streamwise velocity fluctuation u and the passive scalar θ is better than that between the velocity fluctuation vector q and θ. This is also closely related to the highly organised lateral velocity fluctuation v in this flow.


Passive scalar dissipation rate Enstrophy Spectral analogy Turbulent wake 



YZ wishes to acknowledge support given to him from Research Grants Council of Shenzhen Government through grants JCYJ20120613144508935 and JCYJ20130402100505796. RAA acknowledges the support of the Australian Research Council.


  1. Antonia RA, Abe H, Kawamura H (2009) Analogy between velocity and scalar fields in a turbulent channel flow. J Fluid Mech 628:241–268CrossRefzbMATHGoogle Scholar
  2. Fulachier L, Antonia RA (1984) Spectral analogy between temperature and velocity fluctuations in several turbulent flows. Int J Heat Mass Trans 27:987–997CrossRefGoogle Scholar
  3. Zhou T, Antonia RA, Chua L (2002a) Performance of a probe for measuring turbulent energy and temperature dissipation rates. Exp Fluids 33:334–345CrossRefGoogle Scholar
  4. Zhou T, Cao HL, Zhou Y, et al (2012) Phase-average analysis of three-dimensional vorticity and temperature dissipation rate in the near field of a heated circular cylinder wake. In: Proceedings of 18th Australasian fluid mechanics conference. Launceston, TasmaniaGoogle Scholar
  5. Zhou T, Zhou Y, Yiu MW et al (2003) Three-dimensional vorticity in a turbulent cylinder wake. Exp Fluids 35:459–471CrossRefGoogle Scholar
  6. Zhou Y, Zhang HJ, Yiu MW (2002b) The turbulent wake of two side-by-side circular cylinders. J Fluid Mech 458:303–332CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • J. G. Chen
    • 1
  • H. L. Cao
    • 1
  • T. M. Zhou
    • 2
  • R. A. Antonia
    • 3
  • Y. Zhou
    • 1
    Email author
  1. 1.Shenzhen Graduate SchoolHarbin Institute of TechnologyShenzhenChina
  2. 2.School of Civil, Environmental and Mining EngineeringThe University of Western AustraliaCrawleyAustralia
  3. 3.School of EngineeringUniversity of NewcastleCallaghanAustralia

Personalised recommendations