An expression for the entrainment in a channel with rippled bed has been developed considering the entrainment mechanism. The flow structure behind the ripple has been modeled on an eye‐shaped line vortex. Afterwards, the pickup rate of the sediment particle and its motion has been calculated under the vortex activity. The ripple characteristics, such as, configuration, frequency of formation and the shear stress (due to the vortex) on the sand surface have been obtained as functions of the bulk parameters. Combining these characteristics, the entrainment rate at the lee‐side of the ripple has been calculated. Also the entrainment rate from the stoss side has been taken as a basis for the calculations concerned with the total entrainment rate. Then, the ratio of the lee‐side entrainment to the total value has been obtained as a function of the ripple characteristics described above. It can be concluded that the results have been found to be satisfactory when compared with former investigations and experimental results.
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Asaeda et al. (1989) studied this question.
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