Yaglom-like equation in axisymmetric anisotropic turbulence

A scale-by-scale kinetic energy budget equation is developed for inhomogeneous and anisotropic turbulence. This equation reduces to Yaglom’s 4/3 law, under more strict assumptions. Experimental data obtained in the impact region of two opposed jets, in a multiple-opposed-jets flow, are used to partially validate the analytical development and to better characterize this complex flow. It is shown that the energy transfer is mainly performed in planes perpendicular to the axisymmetry axis, whereas it is strongly inhibited along the axisymmetry direction.

► A scale-by-scale energy budget equation is developed for anisotropic turbulence.
► As an application, the impact region of two opposed jets is investigated.
► We show that the energy transfer is reduced along the axisymmetry axis.