A model for turbulence based on rate equations

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Abstract
A model is proposed which describes bulk features of turbulence. The calculations are based on an equation for the rate of change of the rotational kinetic energy of rotating eddies. This equation is governed by the rate coefficients A, B and C for the interaction of eddies with the fluid, the flow and with each other respectively. Simple approximations for calculating A, B and B are given and the rate equation is solved to obtain the Reynolds number for the onset of turbulence in boundary layers and behind bluff bodies, the width of the turbulent spectrum, the logarithmic velocity profile near a wall and the drag coefficient of a blunt object. The work is supported by flow visualisation experiments.

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