Inference of the turbulent dissipation rates in wall-bounded turbulent flows

Accurate prediction of the dissipation rate of the turbulent kinetic energy ($\epsilon$) in turbulent flows is fundamental for modeling of such flows. However, measuring the dissipation rate of the turbulent kinetic energy has always been a challenge in laboratory experiments, especially near the wall. The focus of this study is to investigate and predict the dissipation rate of the turbulent kinetic energy ($\epsilon$) in fully developed wall-bounded turbulent flows. To this end, new parameterizations for the mixing length ($L_{mix}=(-\overline{u'v'})^{1/2}/S$) in fully developed wall-bounded turbulent flows are proposed and their relationship with the dissipation rate of the turbulent kinetic energy is investigated. Comparisons with different datasets of direct numerical simulation of canonical wall-bounded turbulent flows show remarkable agreement. These findings could be useful for the prediction of $\epsilon$ in wall-bounded turbulent flows, especially in the highly anisotropic near-wall region.