A Supplementary Note on the Relation between the Space-and Time-correlation Functions in a Turbulent Flow

Abstract

In this paper the simple mathematical illustration presented by the writer in a recent paper is extended to include the correlation tensor of turbulent velocities and it is shown theoretically how the time correlation tensor of velocities observed at a fixed point is related with the space correlation tensor. The results thus derived are successfully applied to the diffusion of matters emitted from a fixed point source in a turbulent flow.