Stability properties of shallow granular flows

被引:12
作者
Berezin, YA [1 ]
Hutter, K
Spodareva, LA
机构
[1] Russian Acad Sci, Inst Theoret & Appl Mech, Novosibirsk 630090, Russia
[2] TH Darmstadt, Inst Mech, D-64289 Darmstadt, Germany
关键词
granular flow; stability; shear flow;
D O I
10.1016/S0020-7462(97)00036-X
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the stability of shallow layers of granular materials considered as Bagnold fluids (the fluid with power law exponent n = 2) in two cases: (i) inertia terms are negligible and (ii) inertia terms are important. The linear analysis of the governing equations in the two cases demonstrates stable and unstable regimes, respectively. The evolution of some finite amplitude disturbances is solved numerically. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:647 / 658
页数:12
相关论文
共 12 条
[1]   EXPERIMENTS ON A GRAVITY-FREE DISPERSION OF LARGE SOLID SPHERES IN A NEWTONIAN FLUID UNDER SHEAR [J].
BAGNOLD, RA .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 225 (1160) :49-63
[2]  
BEREZIN YA, 1997, IN PRESS MECH THERMO, V9
[3]  
BUGGISCH H, 1983, Z ANGEW MATH MECH, V63, pT231
[4]  
DANTAPAT BS, 1978, RHEOL ACTA, V17, P492
[5]  
DANTAPAT BS, 1975, J FLUID MECH, V72, P425
[6]  
HUTTER K, 1983, J GLACIOL, V25, P247
[7]  
HUTTER K, 1994, CONTINUUM MECH THERM, V4, P82
[8]  
HWANG H, 1995, CONTINUUM MECH THERM, V7, P357, DOI 10.1007/BF01176294
[9]  
PEYRET R, 1994, COMPUTATIONAL METHOD
[10]   GRAVITY FLOW OF COHESIONLESS GRANULAR-MATERIALS IN CHUTES AND CHANNELS [J].
SAVAGE, SB .
JOURNAL OF FLUID MECHANICS, 1979, 92 (MAY) :53-&