Localized turbulent flows on scouring granular beds

被引：52

作者：

Gioia, G ^{[1
]}

Bombardelli, FA

机构：

[1] Univ Illinois, Dept Theoret & Appl Mech, Urbana, IL 61801 USA

[2] Univ Calif Davis, Dept Civil & Environm Engn, Davis, CA 95616 USA

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.95.014501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In many applications a sustained, localized turbulent flow scours a cohesionless granular bed to form a pothole. Here we use similarity methods to derive a theoretical formula for the equilibrium depth of the pothole. Whereas the empirical formulas customarily used in applications contain numerous free exponents, the theoretical formula contains a single one, which we show can be determined via the phenomenological theory of turbulence. Our derivation affords insight into how a state of dynamic equilibrium is attained between a granular bed and a localized turbulent flow.

引用

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