Energy transfer and dissipation in forced isotropic turbulence

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)

[thumbnail of McComb-etal-PRE-2015-Energy-transfer-and-dissipation-in-forced-isotropic]
Preview
 Text. Filename: McComb_etal_PRE_2015_Energy_transfer_and_dissipation_in_forced_isotropic.pdf
Accepted Author Manuscript
Download (430kB)| Preview

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.

  • 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:19 Apr 2024 00:15
    URI:https://strathprints.strath.ac.uk/id/eprint/52798
CORE (COnnecting REpositories)