An exercise on diffusion by continuous movements

Abstract

Analytical expressions are proposed and best fitted to the experimental values evaluated by Paul Frenzen in 1963, for the Lagrangian Autocorrelation Function R (ᶓ)of turbulent fields generated in fluids of several gravitational stabilities. It is demonstrated that the analytical expression proposed herein represent better fits to the experimental data when compared with those proposed by Frenzen. A description is given concerning the best fit curve for each of the sets of experimental values considered. General solutions for Taylors diffusion equation are sought using the proposed analytical expressions for the Lagrangian Autocorrelation Function.