Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

A Review of Computational Models for the Flow of Milled Biomass Part II: Continuum-Mechanics Models

Journal Article · · ACS Sustainable Chemistry & Engineering
 [1];  [2];  [1];  [1]
  1. Idaho National Lab. (INL), Idaho Falls, ID (United States)
  2. National Renewable Energy Lab. (NREL), Golden, CO (United States). Biosciences Center

The design of efficient material-handling systems for milled lignocellulosic biomass is challenging due to their complex particle morphologies and frictional interactions. Computational modeling, including the discrete element method (DEM) and continuum-based finite-element/volume methods, may offer scientific insight and predictive capabilities for the flow of milled biomass in hoppers and feeders. Herein, this article (Part II) presents a review of current state-of-the-art continuum models for the flow of milled biomass, whereas DEM models are reviewed in a companion article (Part I). Advances of numerical methods to solve the global governing equations are discussed first, followed by a comprehensive review of constitutive models for granular materials, including Drucker–Prager, hypoplastic, Cambridge-type, inertial-rheology, and nonlocal granular fluidity models. Specifically, we provide in-depth discussion on the suitability of those models for milled lignocellulosic biomass materials in terms of nonlinear elasticity, dependence of flow strength on pressure, density and shear rate, and compaction (dilation) associated with hardening (softening). Furthermore, our study shows that, despite the recent advances in continuum granular flow modeling, the most suitable constitutive models still need further development to account for material parametrization, multiflow regimes, and multiscale behavior before they can be reliably used to optimize the design and operation of biomass handling systems.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
Grant/Contract Number:
AC36-08GO28308; AC07-05ID14517
OSTI ID:
1659879
Report Number(s):
NREL/JA-2700-75992; MainId:7061; UUID:ece667fe-5944-ea11-9c2f-ac162d87dfe5; MainAdminID:13555
Journal Information:
ACS Sustainable Chemistry & Engineering, Journal Name: ACS Sustainable Chemistry & Engineering Journal Issue: 16 Vol. 8; ISSN 2168-0485
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (117)

A particle-in-cell solution to the silo discharging problem journal July 1999
A hypoplastic relation for granular materials with a predefined limit state surface journal July 1996
Hypoplastic model for cohesionless soils with elastic strain range journal October 1997
Modeling granular material blending in a rotating drum using a finite element method and advection-diffusion equation multiscale model journal April 2018
Quantitative comparison of hydrodynamic and elastoplastic approaches for modeling granular flow in silo journal February 2019
A sober view of the difficulties in scaling cellulosic biofuels journal January 2017
A visco-plastic constitutive model for granular soils modified according to non-local and gradient approaches
  • di Prisco, C.; Imposimato, S.; Aifantis, E. C.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 26, Issue 2 https://doi.org/10.1002/nag.195
journal January 2002
Hypoplastic interface models for fine-grained soils: Hypoplastic interface models for fine-grained soils
  • Stutz, Henning;  Mašín, David
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 2 https://doi.org/10.1002/nag.2561
journal August 2016
Gradient plasticity modelling of strain localization in granular materials: GRADIENT PLASTICITY MODELLING
  • Al Hattamleh, O.; Muhunthan, B.; Zbib, H. M.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 28, Issue 6 https://doi.org/10.1002/nag.345
journal April 2004
A general formulation of hypoplasticity: GENERAL FORMULATION OF HYPOPLASTICITY
  • Lanier, J.; Caillerie, D.; Chambon, R.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 28, Issue 15 https://doi.org/10.1002/nag.394
journal September 2004
Shearing flows of a dry granular material—hypoplastic constitutive theory and numerical simulations
  • Fang, Chung; Wang, Yongqi; Hutter, Kolumban
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, Issue 14 https://doi.org/10.1002/nag.525
journal January 2006
Modelling strain localization in granular materials using micropolar theory: mathematical formulations
  • Alsaleh, Mustafa I.; Voyiadjis, George Z.; Alshibli, Khalid A.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, Issue 15 https://doi.org/10.1002/nag.533
journal January 2006
A coupled FEM/DEM approach for hierarchical multiscale modelling of granular media: HIERARCHICAL MULTISCALE MODELLING OF GRANULAR MEDIA journal June 2014
Modeling dry granular mass flows as elasto-visco-hypoplastic continua with microstructural effects. II. Numerical simulations of benchmark flow problems journal January 2008
Modeling dry granular mass flows as elasto-visco-hypoplastic continua with microstructural effects. I. Thermodynamically consistent constitutive model journal January 2008
FE-investigation of shear localization in granular bodies under high shear rate journal January 2009
Particle finite element analysis of the granular column collapse problem journal May 2014
Piping flow of cohesive granular materials in silo modelled by finite element method journal November 2016
Estimating the impact force generated by granular flow on a rigid obstruction journal February 2009
A SPH approach for large deformation analysis with hypoplastic constitutive model journal June 2015
The role of constitutive models in MPM simulations of granular column collapses journal February 2016
A hypoplastic constitutive model for debris materials journal September 2016
Unified modelling of granular media with Smoothed Particle Hydrodynamics journal September 2016
Modeling the Formation of Debossed Features on a Pharmaceutical Tablet journal August 2016
PFEM-based modeling of industrial granular flows journal April 2014
Application of a particle-in-cell method to solid mechanics journal May 1995
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity journal November 1971
A theory of flow of particulate solids in converging and diverging channels based on a conical yield function journal May 1987
Triaxial testing of dry, cohesive powder and its application to a modified Cam-clay constitutive model journal July 1994
An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions journal September 1982
Computational methods in Lagrangian and Eulerian hydrocodes journal September 1992
Comparison of nonlocal approaches in continuum damage mechanics journal May 1995
Numerical simulation of shear band formation with a polar hypoplastic constitutive model journal January 1996
Slow and intermediate flow of a frictional bulk powder in the Couette geometry journal March 2003
Measurement of powder flow constitutive model parameters using a cubical triaxial tester journal January 1997
A fluid mechanistic approach to slow, frictional flow of powders journal June 1997
Numerical simulation of filling in silos with a polar hypoplastic constitutive model journal May 1998
Finite element model development and validation for incipient flow analysis of cohesive powders from hopper bins journal March 1999
A numerical model of submarine debris flow with graphical user interface journal July 2001
Simulation of axisymmetric discharging in metallic silos. Analysis of the induced pressure distribution and comparison with different standards journal December 2002
Polar extension of a hypoplastic model for granular materials with shear localization journal September 2002
Nonlocal modeling of softening in hypoplasticity journal October 2003
Numerical Simulation of Wall Pressure during Discharge of Granular Material from Cylindrical Silos with Eccentric Hoppers journal May 2003
High-resolution schemes for bubbling flow computations journal December 2005
Analysis of Dynamic Discharge Pressures in Cylindrical Slender Silos with a Flat Bottom or with a Hopper: Comparison with Eurocode 1 journal July 2005
Flowability and handling characteristics of bulk solids and powders – a review with implications for DDGS journal December 2008
Numerical analysis of silo behavior using non-coaxial models journal April 2011
Normal pressures and frictional tractions on shallow conical hopper walls after concentric filling: Predictions and experiments journal February 2013
Finite element investigation of the flow and stress patterns in conical hopper during discharge journal June 2015
Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials journal July 2006
A nonlocal plasticity formulation for the material point method journal June 2012
Critical state plasticity. Part VII: Triggering a shear band in variably saturated porous media journal July 2013
Mechanical behavior modeling of thaw-weakened soil journal April 2008
A finite area scheme for shallow granular flows on three-dimensional surfaces journal April 2018
Finite element simulation of complex dense granular flows using a well-posed regularization of the μ(I)-rheology journal June 2019
Hypoplasticity for soils with low friction angles journal July 2004
Influence of a characteristic length on shear zone formation in hypoplasticity with different enhancements journal December 2004
Particle finite element analysis of large deformation and granular flow problems journal October 2013
Numerical modelling of dynamic pressure and flow in hopper discharge using the Arbitrary Lagrangian–Eulerian formulation journal November 2013
Evolving internal length scales in plastic strain localization for granular materials journal October 2005
Continuum thermomechanics of the nonlocal granular rheology journal September 2014
A modified Drucker-Prager Cap model for die compaction simulation of pharmaceutical powders journal May 2008
On the numerical modeling of granular material flows via the Particle Finite Element Method (PFEM) journal October 2015
A numerical method for two-phase flows of dense granular mixtures journal January 2014
Multiscale modeling and characterization of granular matter: From grain kinematics to continuum mechanics journal February 2011
On the rheology of dilative granular media: Bridging solid- and fluid-like behavior journal June 2012
Comparative FE-studies of shear localizations in granular bodies within a polar and non-local hypoplasticity journal May 2004
Experimental and numerical study of potassium chloride flow using smoothed particle hydrodynamics journal January 2018
Discrete and continuum modeling of granular flow in silo discharge journal February 2018
Granular material flows – An overview journal March 2006
Numerical and experimental investigation of capping mechanisms during pharmaceutical tablet compaction journal February 2008
Modeling of shear localization during confined granular flow in silos within non-local hypoplasticity journal June 2009
Finite element analysis of pharmaceutical tablet compaction using a density dependent material plasticity model journal August 2010
Finite element modelling of wall pressures in a cylindrical silo with conical hopper using an Arbitrary Lagrangian–Eulerian formulation journal May 2014
A numerical study of wall pressure and granular flow in a flat-bottomed silo journal September 2015
Modelling the granular flow in a rotating drum by the Eulerian finite element method journal December 2015
A density-dependent modified Drucker-Prager Cap model for die compaction of Ag57.6-Cu22.4-Sn10-In10 mixed metal powders journal January 2017
Prediction of mass discharge rate in conical hoppers using elastoplastic model journal February 2017
FEM simulation of particle flow and convective mixing in a cylindrical bladed mixer journal May 2017
Feeding properties and behavior of hammer- and knife-milled pine journal October 2017
Modeling granular material blending in a Tote blender using a finite element method and advection-diffusion equation multi-scale model journal December 2018
Predicting the critical outlet width of a hopper using a continuum finite element method model journal November 2019
Shape optimization of conical hoppers to increase mass discharging rate journal February 2020
Long-surface-wave instability in dense granular flows journal June 2003
Stress-controlled elastic granular shear flows journal September 2005
Crucial role of sidewalls in granular surface flows: consequences for the rheology journal October 2005
Continuum modelling and simulation of granular flows through their many phases journal August 2015
Well-posed and ill-posed behaviour of the -rheology for granular flow journal August 2015
Non-local continuum modelling of steady, dense granular heap flows journal October 2017
Material stability and instability in non-local continuum models for dense granular materials journal May 2019
A Review of Computational Models for the Flow of Milled Biomass Part I: Discrete-Particle Models journal April 2020
A constitutive law for dense granular flows journal June 2006
Nonlocal modeling of granular flows down inclines journal January 2015
Nonlocal rheology of dense granular flow in annular shear experiments journal January 2018
A hierarchy of granular continuum models: Why flowing grains are both simple and complex journal January 2017
Modeling flow arrest using a non-local rheology? journal January 2017
3D Finite-Element Simulation of a Square Silo with Flexible Walls journal October 2001
Nonlocal Integral Formulations of Plasticity and Damage: Survey of Progress journal November 2002
Numerical Simulation of Granular Particles Moving in Fluid Flow conference April 2012
Silo hiccups: Dynamic effects of dilatancy in granular flow journal December 1998
Scaling laws in granular flows down rough inclined planes journal March 1999
A predictive, size-dependent continuum model for dense granular flows journal March 2013
Comprehensive rheological characterization of chopped and ground switchgrass journal October 2015
Flow of dense granular material: towards simple constitutive laws journal July 2006
Soil mechanics and plastic analysis or limit design journal January 1952
Continuum theory of partially fluidized granular flows journal June 2002
Nonlocal Rheology of Granular Flows across Yield Conditions journal December 2013
Refined explicit integration of elastoplastic models with automatic error control journal February 2001
On dense granular flows journal August 2004
Continuum simulation of the discharge of the granular silo: A validation test for the μ(I) visco-plastic flow law journal January 2014
Hybrid grains: adaptive coupling of discrete and continuum simulations of granular media journal January 2019
Flows of Dense Granular Media journal January 2008
Effect of Process Variables on the Drucker–Prager Cap Model and Residual Stress Distribution of Tablets Estimated by the Finite Element Method journal January 2014
Theory of Micropolar Fluids journal January 1966
A state parameter for sands journal June 1985
A Comprehensive Constitutive Equation for Granular Materials journal March 1996
Calibration of a Comprehensive Hypoplastic Model for Granular Materials journal March 1996

Similar Records

Finite element modeling of biomass hopper flow
Journal Article · Fri May 26 00:00:00 EDT 2023 · Frontiers in Energy Research · OSTI ID:1975448

Computational modeling of continuum scale constitutive equations to improve biomass feedstock material handling and conveying systems
Conference · Sun Jul 07 00:00:00 EDT 2019 · 2019 Boston, Massachusetts July 7- July 10, 2019 · OSTI ID:1867691