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ON THE EFFECT OF FINITE REYNOLDS NUMBER AND INITIAL CONDITIONS ON THE AXISYMMETRIC WAKE

Peter B. V. Johansson
Turbulence Research Laboratory, Department of Applied Mechanics Chalmers University of Technology, SE-41296 Gothenburg, Sweden

William K. George
Turbulence Research Laboratory, Department of Applied Mechanics Chalmers University of Technology, SE-41296 Gothenburg, Sweden

Abstract

Equilibrium similarity considerations are applied to the axisymmetric turbulent wake. Two solutions are found; one for infinite Reynolds number, one for small Reynolds number, and both dependent on the upstream conditions. Neither agrees particularly well with the data. For both solutions, the local Reynolds number of the flow diminishes with increasing downstream distance. As a consequence, even when the initial Reynolds number is large, the flow evolves from one state to the other. Intermediate asymptotics is used to provide a bridge between the two solutions, which is in excellent agreement with the experimental data.