A Further Study on Einstein’s Sediment Transport Theory——On Calculation of Total Load for Fine Grains

on the basis of a simplified version of Einstein's total sediment transport model,analytical solution of Einstein total load function is rigorously derived,which has the following expressions:

in which

or

The present solution has been verified by comparison of numerical results.Due to its simplificity,this solution can be widely applied to practical engineerings,especially to computation of river-bed deformations.