Ripple formation on a particle bed sheared by a viscous liquid. Part 1. Steady flow

被引：45

作者：

Charru, F ^{[1
]}

Hinch, EJ ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

来源：

JOURNAL OF FLUID MECHANICS | 2006年 / 550卷 / 111-121期

关键词：

D O I：

10.1017/S002211200500786X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new approach to studying ripple formation in steady flow is proposed, based on a model for the erosion and deposition of the particles. Higher shear stresses at the crests lead to a loss of particles from there, which can suppress the instability induced by fluid inertia. This model accounts for recent observations that ripples do not grow when the fluid viscosity is increased, a behaviour not present in the classical approach based on an algebraic dependence of the particle flux on the bottom shear stress.

引用

页码：111 / 121

页数：11

共 18 条

[1] NATURE OF SALTATION AND OF BED-LOAD TRANSPORT IN WATER [J].

BAGNOLD, RA .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1973, 332 (1591) :473-504

[2] SHEARING FLOW OVER A WAVY BOUNDARY [J].

BENJAMIN, TB .

JOURNAL OF FLUID MECHANICS, 1959, 6 (02) :161-205

[3] Sand ripples induced by water shear flow in an annular channel [J].

Betat, A ;

Frette, V ;

Rehberg, I .

PHYSICAL REVIEW LETTERS, 1999, 83 (01) :88-91

[4] Ripple formation on a particle bed sheared by a viscous liquid. Part 2. Oscillating flow [J].

Charru, F ;

Hinch, EJ .

JOURNAL OF FLUID MECHANICS, 2006, 550 :123-137

[5]

Charru F, 2004, J FLUID MECH, V519, P55, DOI [10.1017/S0022112004001028, 10.1017/s0022112004001028]

[6] Instability of a bed of particles sheared by a viscous flow [J].

Charru, F ;

Mouilleron-Arnould, H .

JOURNAL OF FLUID MECHANICS, 2002, 452 :303-323

[7] Sand wavelets in laminar open-channel flows [J].

Coleman, SE ;

Eling, B .

JOURNAL OF HYDRAULIC RESEARCH, 2000, 38 (05) :331-338

[8] Revisiting the linear theory of sand dune formation [J].

Colombini, M .

JOURNAL OF FLUID MECHANICS, 2004, 502 :1-16

[9] THE MECHANICS OF DUNES AND ANTIDUNES IN ERODIBLE-BED CHANNELS [J].

KENNEDY, JF .

JOURNAL OF FLUID MECHANICS, 1963, 16 (04) :521-&

[10] VISCOUS RESUSPENSION [J].

LEIGHTON, D ;

ACRIVOS, A .

CHEMICAL ENGINEERING SCIENCE, 1986, 41 (06) :1377-1384

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