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Journal Articles Journal of Fluid Mechanics Year : 2016

The dissipation tensor in wall turbulence


The paper investigates the dissipation tensor $\unicode[STIX]{x1D700}_{ij}$ in wall turbulence. Available direct numerical simulation (DNS) data are examined to illustrate the differences in the anisotropy of the dissipation tensor $\unicode[STIX]{x1D700}_{ij}$ with respect to the anisotropy of the Reynolds stresses $\unicode[STIX]{x1D633}_{ij}$ . The budgets of the transport equations of the dissipation tensor $\unicode[STIX]{x1D700}_{ij}$ are studied using novel DNS data of low Reynolds number turbulent plane channel flow with spatial resolution sufficiently fine to accurately determine the correlations of products of two-derivatives of fluctuating velocities $u_{i}^{\prime }$ and pressure $p^{\prime }$ which appear in various terms. Finally, the influence of the Reynolds number on the diagonal components of $\unicode[STIX]{x1D700}_{ij}$ ( $\unicode[STIX]{x1D700}_{xx}$ , $\unicode[STIX]{x1D700}_{yy}$ , $\unicode[STIX]{x1D700}_{zz}$ ) and on the various terms in their transport equations is studied using available DNS data of Vreman and Kuerten ( Phys. Fluids , vol. 26, 2014 b , 085103).

Dates and versions

hal-03863859 , version 1 (11-07-2024)



G. Gerolymos, I. Vallet. The dissipation tensor in wall turbulence. Journal of Fluid Mechanics, 2016, 807, pp.386-418. ⟨10.1017/jfm.2016.610⟩. ⟨hal-03863859⟩
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