A Proof of my Bedload Theory by means of Comparison with other Formulas

An investigation of bedload based on the idea that river bedmaterial is picked up by vorticity (PART IV)

Abstract

The validity of the new theory was proved in the foregoing report through a series of movable bed experiments. Howewer, this is nothing but the absolute proof independent on the other formulas. In the process of development of the theory so far, the author has attempted to compare with the other formultas as far as possible. It is thought to be necessary to prove relatively for the further clarification of its validity by means of comparisons through experiments.
In the present paper, the other formulas are compared relativety with the author's theory through applying them to the experiments and the applicability and the characteristics of each formula is clarified. As representative formulas, Brown's formula, Tsubaki's formula and formula of Sato et al were selected. Formulas for the movable bed were deduced from these formulas and analyses were carried out using the data which had been used to prove the author's theory in the foregoing report. The results were compared and the relative value of the author's theory was examined. As results, the followings were obtained. The values calculated by the author's formula is the most approximate to the observed values with a few exceptions. On the whole Tsubaki's formula and formula of Sato et al show somewhat higher values, while Brown's formula shows slightly lower values. The analysis of variance as in the foregoing report shows that the effect of grain size remains in the Tsubaki's formula and formula of Sato et al. There are also a slight effect of distance in Tsubaki's formula and that of time in formula of Sato et al. However, in Brown's formula, the effects are negligible with respect t. the factors set up for the experiment as controllable ones. Also in the author's formula there is-not any significance with these factors. Thus, the author's theory is proved to be universally valid, at least within the range of these experiments.