Computationally generated constitutive models for particle phase rheology in gas-fluidized suspensions

Yile Gu, Ali Ozel, Jari Kolehmainen, Sankaran Sundaresan

Research output: Contribution to journalArticle

Abstract

Developing constitutive models for particle phase rheology in gas-fluidized suspensions through rigorous statistical mechanical methods is very difficult when complex inter-particle forces are present. In the present study, we pursue a computational approach based on results obtained through Eulerian-Lagrangian simulations of the fluidized state. Simulations were performed in a periodic domain for non-cohesive and mildly cohesive (Geldart Group A) particles. Based on the simulation results, we propose modified closures for pressure, bulk viscosity, shear viscosity and the rate of dissipation of pseudo-thermal energy. For non-cohesive particles, results in the high granular temperature T regime agree well with constitutive expressions afforded by the kinetic theory of granular materials, demonstrating the validity of the methodology. The simulations reveal a low T regime, where the inter-particle collision time is determined by gravitational fall between collisions. Inter-particle cohesion has little effect in the high T regime, but changes the behaviour appreciably in the low T regime. At a given T, a cohesive particle system manifests a lower pressure at low particle volume fractions when compared to non-cohesive systems; at higher volume fractions, the cohesive assemblies attain higher coordination numbers than the non-cohesive systems, and experience greater pressures. Cohesive systems exhibit yield stress, which is weakened by particle agitation, as characterized by T. All these effects are captured through simple modifications to the kinetic theory of granular materials for non-cohesive materials.
Original languageEnglish
Pages (from-to)318-349
Number of pages32
JournalJournal of Fluid Mechanics
Volume860
Early online date4 Dec 2018
DOIs
Publication statusPublished - 10 Feb 2019

Fingerprint

rheology
gases
granular materials
kinetic theory
simulation
viscosity
particle collisions
agitation
cohesion
coordination number
thermal energy
assemblies
closures
dissipation
low pressure
methodology
shear
collisions

Keywords

  • kinetic theory
  • particle/fluid flow
  • rheology

Cite this

@article{95b09f1cd58b4da3ba6d062c64a8eec2,
title = "Computationally generated constitutive models for particle phase rheology in gas-fluidized suspensions",
abstract = "Developing constitutive models for particle phase rheology in gas-fluidized suspensions through rigorous statistical mechanical methods is very difficult when complex inter-particle forces are present. In the present study, we pursue a computational approach based on results obtained through Eulerian-Lagrangian simulations of the fluidized state. Simulations were performed in a periodic domain for non-cohesive and mildly cohesive (Geldart Group A) particles. Based on the simulation results, we propose modified closures for pressure, bulk viscosity, shear viscosity and the rate of dissipation of pseudo-thermal energy. For non-cohesive particles, results in the high granular temperature T regime agree well with constitutive expressions afforded by the kinetic theory of granular materials, demonstrating the validity of the methodology. The simulations reveal a low T regime, where the inter-particle collision time is determined by gravitational fall between collisions. Inter-particle cohesion has little effect in the high T regime, but changes the behaviour appreciably in the low T regime. At a given T, a cohesive particle system manifests a lower pressure at low particle volume fractions when compared to non-cohesive systems; at higher volume fractions, the cohesive assemblies attain higher coordination numbers than the non-cohesive systems, and experience greater pressures. Cohesive systems exhibit yield stress, which is weakened by particle agitation, as characterized by T. All these effects are captured through simple modifications to the kinetic theory of granular materials for non-cohesive materials.",
keywords = "kinetic theory, particle/fluid flow, rheology",
author = "Yile Gu and Ali Ozel and Jari Kolehmainen and Sankaran Sundaresan",
year = "2019",
month = "2",
day = "10",
doi = "10.1017/jfm.2018.856",
language = "English",
volume = "860",
pages = "318--349",
journal = "J Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

Computationally generated constitutive models for particle phase rheology in gas-fluidized suspensions. / Gu, Yile; Ozel, Ali; Kolehmainen, Jari; Sundaresan, Sankaran.

In: Journal of Fluid Mechanics, Vol. 860, 10.02.2019, p. 318-349.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Computationally generated constitutive models for particle phase rheology in gas-fluidized suspensions

AU - Gu, Yile

AU - Ozel, Ali

AU - Kolehmainen, Jari

AU - Sundaresan, Sankaran

PY - 2019/2/10

Y1 - 2019/2/10

N2 - Developing constitutive models for particle phase rheology in gas-fluidized suspensions through rigorous statistical mechanical methods is very difficult when complex inter-particle forces are present. In the present study, we pursue a computational approach based on results obtained through Eulerian-Lagrangian simulations of the fluidized state. Simulations were performed in a periodic domain for non-cohesive and mildly cohesive (Geldart Group A) particles. Based on the simulation results, we propose modified closures for pressure, bulk viscosity, shear viscosity and the rate of dissipation of pseudo-thermal energy. For non-cohesive particles, results in the high granular temperature T regime agree well with constitutive expressions afforded by the kinetic theory of granular materials, demonstrating the validity of the methodology. The simulations reveal a low T regime, where the inter-particle collision time is determined by gravitational fall between collisions. Inter-particle cohesion has little effect in the high T regime, but changes the behaviour appreciably in the low T regime. At a given T, a cohesive particle system manifests a lower pressure at low particle volume fractions when compared to non-cohesive systems; at higher volume fractions, the cohesive assemblies attain higher coordination numbers than the non-cohesive systems, and experience greater pressures. Cohesive systems exhibit yield stress, which is weakened by particle agitation, as characterized by T. All these effects are captured through simple modifications to the kinetic theory of granular materials for non-cohesive materials.

AB - Developing constitutive models for particle phase rheology in gas-fluidized suspensions through rigorous statistical mechanical methods is very difficult when complex inter-particle forces are present. In the present study, we pursue a computational approach based on results obtained through Eulerian-Lagrangian simulations of the fluidized state. Simulations were performed in a periodic domain for non-cohesive and mildly cohesive (Geldart Group A) particles. Based on the simulation results, we propose modified closures for pressure, bulk viscosity, shear viscosity and the rate of dissipation of pseudo-thermal energy. For non-cohesive particles, results in the high granular temperature T regime agree well with constitutive expressions afforded by the kinetic theory of granular materials, demonstrating the validity of the methodology. The simulations reveal a low T regime, where the inter-particle collision time is determined by gravitational fall between collisions. Inter-particle cohesion has little effect in the high T regime, but changes the behaviour appreciably in the low T regime. At a given T, a cohesive particle system manifests a lower pressure at low particle volume fractions when compared to non-cohesive systems; at higher volume fractions, the cohesive assemblies attain higher coordination numbers than the non-cohesive systems, and experience greater pressures. Cohesive systems exhibit yield stress, which is weakened by particle agitation, as characterized by T. All these effects are captured through simple modifications to the kinetic theory of granular materials for non-cohesive materials.

KW - kinetic theory

KW - particle/fluid flow

KW - rheology

U2 - 10.1017/jfm.2018.856

DO - 10.1017/jfm.2018.856

M3 - Article

VL - 860

SP - 318

EP - 349

JO - J Fluid Mechanics

JF - J Fluid Mechanics

SN - 0022-1120

ER -