Granular flow in a three-dimensional rotating container

被引：7

作者：

Elperin, T ^{[1
]}

Vikhansky, A ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Pearlstone Ctr Aeronatu Engn Studies, Dept Engn Mech, IL-84105 Beer Sheva, Israel

来源：

PHYSICAL REVIEW E | 2000年 / 62卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.62.4446

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We considered a flow of a cohesionless granular material in a partially filled three-dimensional rotating container. A model is suggested to describe a density of the surface flow and the profile of the free surface of the granular material. It is shown that when the container has an ellipsoidal shape the obtained system of partial differential equations can be reduced to a set of two ordinary differential equations.

引用

收藏

页码：4446 / 4449

页数：4

相关论文

共 17 条

[1] Fast/slow diffusion and growing sandpiles [J].

Aronsson, G ;

Evans, LC ;

Wu, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 131 (02) :304-335

[2] MATHEMATICAL-MODEL IN SAND MECHANICS - PRESENTATION AND ANALYSIS [J].

ARONSSON, G .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1972, 22 (03) :437-&

[3] Modelling of particle mixing and segregation in the transverse plane of a rotary kiln [J].

Boateng, AA ;

Barr, BV .

CHEMICAL ENGINEERING SCIENCE, 1996, 51 (17) :4167-4181

[4] Mixing dynamics in catalyst impregnation in double-cone blenders [J].

Chester, AW ;

Kowalski, JA ;

Coles, ME ;

Muegge, EL ;

Muzzio, FJ ;

Brone, D .

POWDER TECHNOLOGY, 1999, 102 (01) :85-94

[5] Variational formulation of sandpile dynamics [J].

Elperin, T ;

Vikhansky, A .

PHYSICAL REVIEW E, 1996, 53 (05) :4536-4543

[6] Numerical solutions of the variational equations for sandpile dynamics [J].

Elperin, T ;

Vikhansky, A .

PHYSICAL REVIEW E, 1997, 55 (05) :5785-5791

[7] Mechanism of the onset of axial segregation in a rotating cylindrical drum filled with binary granular mixtures [J].

Elperin, T ;

Vikhansky, A .

PHYSICAL REVIEW E, 1999, 60 (02) :1946-1950

[8] Granular flow in a rotating cylindrical drum [J].

Elperin, T ;

Vikhansky, A .

EUROPHYSICS LETTERS, 1998, 42 (06) :619-623

[9] Kinematics of the mixing of granular material in slowly rotating containers [J].

Elperin, T ;

Vikhansky, A .

EUROPHYSICS LETTERS, 1998, 43 (01) :17-22

[10] Chaotic mixing of granular material in slowly rotating containers as a discrete mapping [J].

Elperin, T ;

Vikhansky, A .

CHAOS, 1999, 9 (04) :910-915