Parameterized expressions for an improved Rouse equation
Parameterized expressions for an improved Rouse equation
复制标题
改进劳斯方程的参数化表达式
DOI：
10.1016/s1001-6279(14)60010-x
复制
发表时间：
2013-12-01
影响因子：
3.6
通讯作者：
Zhang, Jin-shan
中科院分区：
文献类型：
--
作者：
Cheng, Chen;Song, Zhi-yao;Zhang, Jin-shan
The equilibrium profile of suspended sediment concentration (SSC) in steady, uniform turbulent flow has been extensively studied since the proposition of Rouse equation (Rouse, 1937). Many researchers keep studying and attempting to improve the Rouse equation by modifying the mixing length concept. Bose and Dey (2009) improved Rouse equation based on the modified sediment diffusivity, however, their proposed sediment diffusivity has two parameters, the depth modification factor alpha and the reciprocal of the sediment Schmidt number beta = 1/S-c, and the corresponding expressions were not given properly in their paper. This paper aims to parameterize the relevant coefficients, the results shows: (1) alpha is parameterized from a reasonable approximation by the analysis of surface boundary condition of SSC; (2) considering some effect factors on the settling velocity, alpha can be expressed by an extended and modified Montes-Ippen formula, and its related parameters are calibrated by substantial data about the relationship between the primary Rouse parameter Z(*) = omega(s)/kappa u(*) and its counterpart Z(*)' = omega(s)/beta kappa u(*). Through verification with some experimental and field datasets, and comparison with related formula, the results show that the sediment diffusivity and SSC profiles have a good agreement with measured data used the present parameterized expressions of alpha and beta, so the present improved Rouse equation is reasonable, and can be applied in practical applications. Finally, an approximation and simplified expression of the improved Rouse equation is deduced by using the approach of perturbation, which can be applied easily for the estimation of suspended sediment transport rate.
