Rheophysics of athermal granular materials

Slides:

Advertisements

Similar presentations

Proto-Planetary Disk and Planetary Formation

Advertisements

Lecture 1. How to model: physical grounds

Biological fluid mechanics at the micro‐ and nanoscale Lecture 7: Atomistic Modelling Classical Molecular Dynamics Simulations of Driven Systems Anne Tanguy.

Lecture 2 Properties of Fluids Units and Dimensions.

Ch 24 pages Lecture 8 – Viscosity of Macromolecular Solutions.

Continuity Equation. Continuity Equation Continuity Equation Net outflow in x direction.

Boundary Layer Flow Describes the transport phenomena near the surface for the case of fluid flowing past a solid object.

François Chevoir, Jean-Noël Roux Laboratoire Navier (LCPC, ENPC, CNRS) DENSE GRANULAR MATERIALS Microscopic origins of macroscopic behaviour GdR CHANT.

Lecture 17 - Eulerian-Granular Model Applied Computational Fluid Dynamics Instructor: André Bakker © André Bakker (2002) © Fluent Inc. (2002)

Granular flows under the shear Hisao Hayakawa* & Kuniyasu Saitoh Dept. Phys. Kyoto Univ., JAPAN *

Introduction. Outline Fluid Mechanics in Chemical and Petroleum Engineering Normal Stresses (Tensile and Compressive) Shear stress General Concepts of.

Sensible heat flux Latent heat flux Radiation Ground heat flux Surface Energy Budget The exchanges of heat, moisture and momentum between the air and the.

Critical Scaling at the Jamming Transition Peter Olsson, Umeå University Stephen Teitel, University of Rochester Supported by: US Department of Energy.

Shaking and shearing in a vibrated granular layer Jeff Urbach, Dept. of Physics, Georgetown Univ. Investigations of granular thermodynamics and hydrodynamics.

1 MFGT 242: Flow Analysis Chapter 3: Stress and Strain in Fluid Mechanics Professor Joe Greene CSU, CHICO.

California State University, Chico

Introduction to Convection: Flow and Thermal Considerations

Critical Scaling at the Jamming Transition Peter Olsson, Umeå University Stephen Teitel, University of Rochester Supported by: US Department of Energy.

Jamming Peter Olsson, Umeå University Stephen Teitel, University of Rochester Supported by: US Department of Energy Swedish High Performance Computing.

Viscosity. Average Speed The Maxwell-Boltzmann distribution is a function of the particle speed. The average speed follows from integration.  Spherical.

Jan Kubik Opole University of Technology Treatment of building porous materials with protective agents.

Flow and Thermal Considerations

Instructor: André Bakker

Convection Prepared by: Nimesh Gajjar. CONVECTIVE HEAT TRANSFER Convection heat transfer involves fluid motion heat conduction The fluid motion enhances.

By Paul Delgado Advisor – Dr. Vinod Kumar Co-Advisor – Dr. Son Young Yi.

Introduction to Convection: Flow and Thermal Considerations

Generalized Entropy and Transport Coefficients of Hadronic Matter Azwinndini Muronga 1,2 1 Centre for Theoretical Physics & Astrophysics Department of.

Viscous hydrodynamics and the QCD equation of state Azwinndini Muronga 1,2 1 Centre for Theoretical Physics and Astrophysics Department of Physics, University.

R. HEYD CRMD/UMR 6619 – ORLÉANS/France LPN/ENS – Marrakech/Maroc FFSM/Cadi Ayyad University – Marrakech/Maroc ICNMRE SAFI/MOROCCO July

Reynolds Number (Re) Re = R = A/P V = mean velocity  /  =  (which is kinematic viscosity) Re = VR(  /  ), where Driving Forces Resisting Force Re.

Pressure drop prediction models o Garimella et al. (2005) o Considered parameters o Single-phase pressure gradients o Martinelli parameter o Surface tension.

Modelling of the particle suspension in turbulent pipe flow

Proceedings of the 18 th International Conference on Nuclear Engineering ICONE18 May , 2010, Xi’an, China Hannam University Fluid-elastic Instability.

 Breaking up the compacted layer to loosen the soil  Requiring high draft power and resulting in high soil disturbance  Discrete element modeling (DEM)

The Role of Friction and Shear stress in the Jamming Transition Antonio Coniglio Università di Napoli “Federico II” Lorentz Center Leiden 6-10 July 2009.

Flow Energy PE + KE = constant between any two points  PE (loss) =  KE (gain) Rivers are non-conservative; some energy is lost from the system and can.

Chapter 15FLUIDS 15.1 Fluid and the World Around Us 1.A fluid is a substance that cannot support a shearing stress. 2.Both gases and liquids are fluids.

Chapter 6 Introduction to Forced Convection:

Concentrated non-Brownian suspensions in viscous fluids. Numerical simulation results, a “granular” point of view J.-N. Roux, with F. Chevoir, F. Lahmar,

Shear modulus caused by stress avalanches for jammed granular materials under oscillatory shear Hisao Hayakawa (YITP, Kyoto Univ.) collaborated with Michio.

2013/6/ /6/27 Koshiro Suzuki (Canon Inc.) Hisao Hayakawa (YITP) A rheological study of sheared granular flows by the Mode-Coupling Theory.

Physics of turbulence at small scales Turbulence is a property of the flow not the fluid. 1. Can only be described statistically. 2. Dissipates energy.

Chapter 8. FILTRATION PART II. Filtration variables, filtration mechanisms.

FLOW THROUGH GRANULAR BEDS AND PACKED COLUMN

Rheophysics of wet granular materials S. Khamseh, J.-N. Roux & F. Chevoir IMA Conference on Dense Granular Flows - Cambridge - July 2013.

INTRODUCTION TO CONVECTION

Introduction to Fluid Mechanics

Introduction to Fluid Mechanics

Numerical modeling of nanofluids By Dr. ********************* ******************

John Drozd Colin Denniston Simulations of Collision Times and Stress In Gravity Driven Granular Flow bottom sieve particles at bottom go to top reflecting.

RHEOLOGICAL MEASUREMENTS OF LIQUID-SOLID FLOWS WITH INERTIA AND PARTICLE SETTLING Esperanza Linares, Melany L. Hunt, Roberto Zenit 1 Mechanical Engineering.

Sedimentology Lecture #6 Class Exercise The Fenton River Exercise.

Subject Name: FLUID MECHANICS Subject Code:10ME36B Prepared By: R Punith Department: Aeronautical Engineering Date:

Non-equilibrium theory of rheology for non-Brownian dense suspensions

Transport phenomena Ch.8 Polymeric liquid

Dynamical correlations & transport coefficients

Introduction to Fluid Mechanics

Pressure drop prediction models

Particle (s) motion.

University of Amsterdam

Drag laws for fluid-particle flows with particle size distribution

Jos Derksen & Radompon Sungkorn Chemical & Materials Engineering

Exercise 1: Fenton River Floodplain Exercise

Dynamical correlations & transport coefficients

Characteristics of Turbulence:

Modeling of Cohesionless Granular Flows

Today’s Lecture Objectives:

Lecture 4 Dr. Dhafer A .Hamzah

Presentation transcript:

Rheophysics of athermal granular materials P. Mills, J.-N. Roux & F. Chevoir Assembly of non brownian hard particles (d>>1 mm) - Dry granular materials - Dense suspensions of particles in a viscous fluid IMA Conference on Dense Granular Flows Cambridge - July 2013

Homogeneous shear state Jammed state * = critical state Shear stress Pressure P diameter d mass density rp liquid viscosity hl friction coefficient mg Shear rate Solid fraction f Jammed state * = critical state 2/11

Dimensionless numbers Two time scales : shear time and inertial / viscous time Dry grains Inertial number Dense suspensions « Viscous number » 3/11

Dry grains Suspensions Is Is Peyneau 2008 2D Peyneau 2008 2D mg =0,3 Is Is exp : Boyer et al. 2011 Khamseh 2012 3D 4/11

Relaxation from shear state to jammed state characteristic time t cutting off the shear stress while maintaining the normal stress 5/11

Time evolution of solid fraction dissipative interactions Diffusive flux dissipative interactions Relaxation Steady state : Equation of state 6/11

Relaxation time m f Da Cruz PRE 05 7/11

Constitutive law : scaling laws ? Depend on I range ! Dry grains Suspensions mg a b Ref 2D 0,67 0,52 Peyneau 08 3D 0,39 0,42 0,38 Khamseh 12 0,3 0,87 0,81 0,95 0,86 mg a b Ref 2D 0,3 0,4 – 0,5 (hmin) 0,4 – 0,2 Peyneau 08 3D 0,6 (hmax) 0 0,5 Boyer 11 Influence of dimension ? Influence of friction ! a close to b ? 8/11

Consequence for shear stress 9/11

Dry grains Dense suspensions 10/11

Conclusions = Questions Scaling laws for m and f ? Relaxation of solid fraction related to viscosity ? Microscopic interpretation of : - equation of state : Boltzmann equation ? - viscous shear stress ? - strong influence of friction ?