Abstract
Zero-mean flow turbulence is formed when a grid is vertically oscillated in a homogeneous fluid. Some characteristic quantities of this turbulence have been investigated by using the k-ε turbulence model analytically. The governing equations and the boundary conditions are non-dimensionalized by using the turbulent energy k0 and the dissipation rate ε0 which are given as boundary conditions at the center of the grid oscillation. This non-dimensionalization gives universal vertical profiles of turbulent energy k, energy flux in the vertical direction q, dissipation rate ε, eddy viscosity νt and characteristic lengthscale l. Vertical distributions of k, q and ε have been obtained from the velocity measurements. Superposing the experimental data of k and ε on the dimensionless solutions enables us to evaluate k0 and ε0. These values have been related to the conditions of the grid oscillation and the kinematic viscosity. If experimental conditions are known, therefore, the five characteristic quantities can be estimated on the basis of their universal vertical profiles and the values of k0 and ε0.
