Using the concepts of dilatant suspension behavior introduced by Bagnold, an equation has been derived for the hydraulic gradient necessary to transport solids in a two‐dimensional channel where suspension arises from the Bagnold dispersive stress. The equation has been tested for the case where a stationary bed of solids exists and the empirical constant in the equation is found to agree with that obtained by Bagnold for shear in an annulus. The equation bears a strong resemblance to that verified experimentally for circular pipes by Abbott.
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Clifton A. Shook (1965) studied this question.
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