Similitude theory applied to correlation of flume sediment transport data

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Abstract
A second variant of the method of synthesis, the method of linear proportionalities, is presented and shown to be a powerful device for seeking correlation procedures for sediment transportation data. It is apparent that correlations for sediment transportation data under conditions of quasiuniform flow are of the same basic form as those for rough pipe flow, with some amplification for practical reasons. Certain established correlations are shown to be based on similarity equations from which parametric terms have been omitted, mostly without justification. A rigorous method of correlation compatible with feasible laboratory procedures is presented and illustrated in figure form using available data. It was found that the bulk of the published data was in a form unsuitable for use in a rational correlation. The authors conclude that new experimentation is required and that this could best be done by co‐operation among institutions with the necessary apparatus.

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