Abstract
The theories of free turbulence are unsatisfactory as the distinction between dimensional analysis and physical hypotheses is not sharply drawn. Dimensional analysis is applied to the various problems of free turbulence in order to deduce as much as possible, without recourse to physical hypotheses, as' to the nature of turbulent flow. The various theories of turbulent flow are then considered in the light of the previous analysis. It is concluded that the phenomena are too complicated to be explained by the simpler versions of the existing theories. Experiment shows that heat spreads faster than momentum and this is qualitatively in favour of the vorticity transfer theory. Wall turbulence is considered in an appendix and the logarithmic velocity distribution is deduced from dimensional analysis.

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