Characteristics of the turbulent energy dissipation rate in a cylinder wake

J. G. Chen, Y. Zhou, R. A. Antonia, T. M. Zhou

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    This work aims to improve our understanding of the turbulent energy dissipation rate in the wake of a circular cylinder. Ten of the twelve velocity derivative terms which make up the energy dissipation rate are simultaneously obtained with a probe composed of four X-wires. Measurements are made in the plane of mean shear at, 20 and 40, where is the streamwise distance from the cylinder axis and is the cylinder diameter, at a Reynolds number of based on and free-stream velocity. Both statistical and topological features of the velocity derivatives as well as the energy dissipation rate, approximated by a surrogate based on the assumption of homogeneity in the transverse plane, are examined. The spectra of the velocity derivatives indicate that local axisymmetry is first satisfied at higher wavenumbers while the departure at lower wavenumbers is caused by the Kármán vortex street. The spectral method proposed by Djenidi & Antonia (Exp. Fluids, vol. 53, 2012, pp. 1005-1013) based on the universality of the dissipation range of the longitudinal velocity spectrum normalized by the Kolmogorov scales also applies in the present flow despite the strong perturbation from the Kármán vortex street and violation of local isotropy at small. The appropriateness of the spectral chart method is consistent with Antonia et al.'s (Phys. Fluids, vol. 26, 2014, 45105) observation that the two major assumptions in Kolmogorov's first similarity hypothesis, i.e. very large Taylor microscale Reynolds number and local isotropy, can be significantly relaxed. The data also indicate that vorticity spectra are more sensitive, when testing the first similarity hypothesis, than velocity spectra. They also reveal that the velocity derivatives and play an important role in the interaction between large and small scales in the present flow. The phase-averaged data indicate that the energy dissipation is concentrated mostly within the coherent spanwise vortex rollers, in contrast with the model of Hussain (J. Fluid Mech., vol. 173, 1986, pp. 303-356) and Hussain & Hayakawa (J. Fluid Mech., vol. 180, 1987, p. 193), who conjectured that it resides mainly in regions of strong turbulent mixing.

    Original languageEnglish
    Pages (from-to)271-300
    Number of pages30
    JournalJournal of Fluid Mechanics
    Volume835
    DOIs
    Publication statusPublished - 25 Jan 2018

    Fingerprint

    wakes
    Energy dissipation
    energy dissipation
    vortex streets
    Derivatives
    Vortex flow
    Fluids
    fluids
    isotropy
    Reynolds number
    turbulent mixing
    rollers
    spectral methods
    free flow
    circular cylinders
    charts
    Circular cylinders
    Vorticity
    microbalances
    vorticity

    Cite this

    Chen, J. G. ; Zhou, Y. ; Antonia, R. A. ; Zhou, T. M. / Characteristics of the turbulent energy dissipation rate in a cylinder wake. In: Journal of Fluid Mechanics. 2018 ; Vol. 835. pp. 271-300.
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    abstract = "This work aims to improve our understanding of the turbulent energy dissipation rate in the wake of a circular cylinder. Ten of the twelve velocity derivative terms which make up the energy dissipation rate are simultaneously obtained with a probe composed of four X-wires. Measurements are made in the plane of mean shear at, 20 and 40, where is the streamwise distance from the cylinder axis and is the cylinder diameter, at a Reynolds number of based on and free-stream velocity. Both statistical and topological features of the velocity derivatives as well as the energy dissipation rate, approximated by a surrogate based on the assumption of homogeneity in the transverse plane, are examined. The spectra of the velocity derivatives indicate that local axisymmetry is first satisfied at higher wavenumbers while the departure at lower wavenumbers is caused by the K{\'a}rm{\'a}n vortex street. The spectral method proposed by Djenidi & Antonia (Exp. Fluids, vol. 53, 2012, pp. 1005-1013) based on the universality of the dissipation range of the longitudinal velocity spectrum normalized by the Kolmogorov scales also applies in the present flow despite the strong perturbation from the K{\'a}rm{\'a}n vortex street and violation of local isotropy at small. The appropriateness of the spectral chart method is consistent with Antonia et al.'s (Phys. Fluids, vol. 26, 2014, 45105) observation that the two major assumptions in Kolmogorov's first similarity hypothesis, i.e. very large Taylor microscale Reynolds number and local isotropy, can be significantly relaxed. The data also indicate that vorticity spectra are more sensitive, when testing the first similarity hypothesis, than velocity spectra. They also reveal that the velocity derivatives and play an important role in the interaction between large and small scales in the present flow. The phase-averaged data indicate that the energy dissipation is concentrated mostly within the coherent spanwise vortex rollers, in contrast with the model of Hussain (J. Fluid Mech., vol. 173, 1986, pp. 303-356) and Hussain & Hayakawa (J. Fluid Mech., vol. 180, 1987, p. 193), who conjectured that it resides mainly in regions of strong turbulent mixing.",
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    Characteristics of the turbulent energy dissipation rate in a cylinder wake. / Chen, J. G.; Zhou, Y.; Antonia, R. A.; Zhou, T. M.

    In: Journal of Fluid Mechanics, Vol. 835, 25.01.2018, p. 271-300.

    Research output: Contribution to journalArticle

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    AB - This work aims to improve our understanding of the turbulent energy dissipation rate in the wake of a circular cylinder. Ten of the twelve velocity derivative terms which make up the energy dissipation rate are simultaneously obtained with a probe composed of four X-wires. Measurements are made in the plane of mean shear at, 20 and 40, where is the streamwise distance from the cylinder axis and is the cylinder diameter, at a Reynolds number of based on and free-stream velocity. Both statistical and topological features of the velocity derivatives as well as the energy dissipation rate, approximated by a surrogate based on the assumption of homogeneity in the transverse plane, are examined. The spectra of the velocity derivatives indicate that local axisymmetry is first satisfied at higher wavenumbers while the departure at lower wavenumbers is caused by the Kármán vortex street. The spectral method proposed by Djenidi & Antonia (Exp. Fluids, vol. 53, 2012, pp. 1005-1013) based on the universality of the dissipation range of the longitudinal velocity spectrum normalized by the Kolmogorov scales also applies in the present flow despite the strong perturbation from the Kármán vortex street and violation of local isotropy at small. The appropriateness of the spectral chart method is consistent with Antonia et al.'s (Phys. Fluids, vol. 26, 2014, 45105) observation that the two major assumptions in Kolmogorov's first similarity hypothesis, i.e. very large Taylor microscale Reynolds number and local isotropy, can be significantly relaxed. The data also indicate that vorticity spectra are more sensitive, when testing the first similarity hypothesis, than velocity spectra. They also reveal that the velocity derivatives and play an important role in the interaction between large and small scales in the present flow. The phase-averaged data indicate that the energy dissipation is concentrated mostly within the coherent spanwise vortex rollers, in contrast with the model of Hussain (J. Fluid Mech., vol. 173, 1986, pp. 303-356) and Hussain & Hayakawa (J. Fluid Mech., vol. 180, 1987, p. 193), who conjectured that it resides mainly in regions of strong turbulent mixing.

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