Scaling and similarity in rough channel flows

被引：150
|
作者：
Gioia, G [1 ]
Bombardelli, FA
机构：
[1] Univ Illinois, Dept Theoret & Appl Mech, Urbana, IL 61801 USA
[2] Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA
来源：
PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 01期
关键词：
D O I：
10.1103/PhysRevLett.88.014501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that Manning's empirical formula for the mean velocity of turbulent flows in channels represents the power-law asymptotic behavior of a flow of incomplete similarity in the relative roughness. We then derive the formula based on the phenomenological theory of turbulence. Our derivation yields the correct similarity exponent; it justifies Manning's use of a single parameter, the hydraulic radius, to characterize the geometry of the cross section; and it affords insight into the mechanism of momentum transfer.
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页数：4
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