Einstein床沙质输移理论的再研究——关于细颗粒床沙质输沙率的计算

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

摘要: 本文对Einstein输沙模式进行了简化处理.在此基础上,通过严格的数学推导,求出了Einstein床沙质挟沙能力公式中的J₁、J₂及p积分,从而给出了Einstein床沙质输沙函数的解析关系.通过与数值解的比较,表明本文的结论是正确的.由于本文所给的解析结果较简单,所以使Einstein输沙公式有可能在实际中,特别是在河床变形计算中得到广泛应用.但是本文是在悬浮指数z<1的情况讨论的,因此结论只适用于以悬移质运动为主的细沙河流.

Abstract: 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.