Unsteady dissipation scaling of grid turbulence in the near-field region

Abstract

This paper investigates global (long-time-averaged) and local (short-time-averaged) statistics in the near-field region of static-grid turbulence through wind tunnel experiments. Measurements are performed in the region x/M<32 (where x is the streamwise distance from the grid and M is the mesh size of the grid) using hot-wire anemometry. Local statistics are calculated according to the methodology used in the previous time-dependent analysis [Zheng et al., “Unsteady dissipation scaling in static- and active-grid turbulence,” J. Fluid Mech. 956, A20 (2023)]. The global dimensionless dissipation rate Cϵ exhibits a power-law decay with respect to the global turbulent Reynolds number Reλ and the global length scale ratio L/λ (where L is the integral length scale and λ is the Taylor microscale) is constant in the near-field region, consistent with previous studies on regular- and fractal-grid turbulence. The local dimensionless dissipation rate and the local length scale ratio also obey nonequilibrium scaling laws in both near- and far-field regions of grid turbulence when the turbulent Reynolds number is locally high, whereas the nonequilibrium scaling laws for the global statistics only hold in the near-field region.