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The dissipation tensor $\unicode[STIX]{x1D700}_{ij}$ in wall turbulence
Published online by Cambridge University Press: 19 October 2016
Abstract
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, 2014b, 085103).
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