Energy transfer and dissipation in forced isotropic turbulence

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McComb, W. D. and Berera, A. and Yoffe, S. R. and Linkmann, M. F. (2015) Energy transfer and dissipation in forced isotropic turbulence. Physical Review E, 91 (4). 043013. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.91.043013)

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Abstract

A model for the Reynolds number dependence of the dimensionless dissipation rate Cε was derived from the dimensionless Kármán-Howarth equation, resulting in Cε = Cε,∞ +C/RL + O(1/RL ), where RL is the integral scale Reynolds number. The coefficients C and Cε,∞ arise from asymptotic expansions of the dimensionless second- and third-order structure functions. This theoretical work was supplemented by direct numerical simulations (DNS) of forced isotropic turbulence for integral scale Reynolds numbers up to RL = 5875 (Rλ = 435), which were used to establish that the decay of dimensionless dissipation with increasing Reynolds number took the form of a power law RLn with exponent value n = −1.000 ± 0.009, and that this decay of Cε was actually due to the increase in the Taylor surrogate U3/L. The model equation was fitted to data from the DNS which resulted in the value C = 18.9 ± 1.3 and in an asymptotic value for Cε in the infinite Reynolds number limit of Cε,∞ = 0.468 ± 0.006.

ORCID iDs

McComb, W. D., Berera, A., Yoffe, S. R. ORCID logoORCID: https://orcid.org/0000-0002-6723-4990 and Linkmann, M. F.;
  • Item type:Article
    ID code:52798
    Dates:
    Date
    Event
    21 April 2015
    Published
    7 April 2015
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:22 Apr 2015 13:15
    Last modified:16 Nov 2024 01:08
    URI:https://strathprints.strath.ac.uk/id/eprint/52798
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