Limiting Behavior of the Probability Distribution in Einstein's Bed-Load Formula and its Improvement

被引：1

作者：

Wu, Haoliang ^{[1
]}

Cheng, Nian-Sheng ^{[2
]}

Chiew, Yee-Meng ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Civil & Environm Engn, Nanyang, Singapore

[2] Zhejiang Univ, Ocean Coll, Zhoushan Campus, Zhoushan, Peoples R China

来源：

WATER RESOURCES RESEARCH | 2021年 / 57卷 / 10期

基金：

中国国家自然科学基金;

关键词：

bed-load transport; Einstein's model; probability distribution; Gamma distribution; SEDIMENT TRANSPORT; ENTRAINMENT; MOTION; FLOW;

D O I：

10.1029/2020WR028900

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

The bed-load transport rates predicted using Einstein's formula in the low and high transport regimes deviate from the experimental data. The deviation, which becomes significant when the transport rate is extremely low or high, may be solely attributed to the folded Gaussian distribution assumed by Einstein. The trends of an Einstein-type formula at the limits can be separately determined by considering the limiting behavior of the embedded probability distribution, which facilitates the derivation of a formula that best fits the bed-load data. By applying a Gamma distribution with the shape parameter equal to 3/2, a modified Einstein's formula is successfully applied to the low and high transport regimes.

引用

页数：20

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