Correlations and the Ring-Kinetic Equation in Dense Sheared Granular Flows

被引：0

作者：

Kumaran, V. ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Chem Engn, Bangalore 560012, Karnataka, India

来源：

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT | 2010年 / 184期

关键词：

MODE-COUPLING THEORY; INCLINED PLANE; FLUIDS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A formal way of deriving fluctuation-correlation relations in dense sheared granular media, starting with the Enskog approximation for the collision integral in the Chapman-Enskog theory, is discussed. The correlation correction to the viscosity is obtained using the ring-kinetic equation, in terms of the correlations in the hydrodynamic modes of the linearised Enskog equation. It is shown that the Green-Kubo formula for the shear viscosity emerges from the two-body correlation function obtained from the ring-kinetic equation.

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页码：88 / 99

页数：12

相关论文

共 19 条

[1] Transport coefficients for the hard-sphere granular fluid [J].

Baskaran, Aparna ;

Dufty, James W. ;

Brey, J. Javier .

PHYSICAL REVIEW E, 2008, 77 (03)

[2] Linear response and hydrodynamics for granular fluids [J].

Dufty, James ;

Baskaran, Aparna ;

Brey, J. Javier .

PHYSICAL REVIEW E, 2008, 77 (03)

[3] NONANALYTIC DISPERSION-RELATIONS IN CLASSICAL FLUIDS .1. HARD-SPHERE GAS [J].

ERNST, MH ;

DORFMAN, JR .

PHYSICA, 1972, 61 (02) :157-&

[4] KINETIC-THEORY OF NONLINEAR VISCOUS-FLOW IN 2 AND 3 DIMENSIONS [J].

ERNST, MH ;

CICHOCKI, B ;

DORFMAN, JR ;

SHARMA, J ;

VANBEIJEREN, H .

JOURNAL OF STATISTICAL PHYSICS, 1978, 18 (03) :237-270

[5] Green-Kubo relations for granular fluids [J].

Goldhirsch, I ;

van Noije, TPC .

PHYSICAL REVIEW E, 2000, 61 (03) :3241-3244

[6]

GREMLA M, 1980, PHYS REV A, V22, P1295

[7] Mode-coupling theory of sheared dense granular liquids [J].

Hayakawa, Hisao ;

Otsuki, Michio .

PROGRESS OF THEORETICAL PHYSICS, 2008, 119 (03) :381-402

[8] THEORY OF NONLINEAR TRANSPORT PROCESSES - NONLINEAR SHEAR VISCOSITY AND NORMAL STRESS EFFECTS [J].

KAWASAKI, K ;

GUNTON, JD .

PHYSICAL REVIEW A, 1973, 8 (04) :2048-2064

[9] Velocity autocorrelations and viscosity renormalization in sheared granular flows [J].

Kumaran, V .

PHYSICAL REVIEW LETTERS, 2006, 96 (25)

[10] Dense granular flow down an inclined plane: from kinetic theory to granular dynamics [J].

Kumaran, V. .

JOURNAL OF FLUID MECHANICS, 2008, 599 :121-168