Lattice Boltzmann simulation of power-law fluid flow in the mixing section of a single-screw extruder

The single-screw extruder is commonly used in polymer processing where the performance of the mixing section is significant in determining the quality of the final product. It is therefore of great interest to simulate the flow field in a single-screw extruder. In this paper simulations of non-Newtonian fluids in a single-screw extruder are performed using the lattice Boltzmann model.

[1]  Marco Camesasca,et al.  Quantifying Fluid Mixing with the Shannon Entropy , 2006 .

[2]  Panagiotis Neofytou,et al.  Non-Newtonian flow instability in a channel with a sudden expansion , 2003 .

[3]  R. Hong,et al.  Rheological properties of water-based Fe3O4 ferrofluids , 2007 .

[4]  B. Chopard,et al.  Lattice Boltzmann Simulations of Blood Flow: Non-Newtonian Rheology and Clotting Processes , 2005 .

[5]  James Buick,et al.  A second-order accurate lattice Boltzmann non-Newtonian flow model , 2006 .

[6]  Pierre Lallemand,et al.  Lattice Gas Hydrodynamics in Two and Three Dimensions , 1987, Complex Syst..

[7]  D. Wolf-Gladrow.  Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction , 2000 .

[8]  A. M. Artoli,et al.  Shear-thinning viscosity effects in bifurcating blood vessels , 2006 .

[9]  J. Vlachopoulos,et al.  Polymer processing , 2003 .

[10]  M. Hussain,et al.  Relationship between power law coefficients and major blood constituents affecting the whole blood viscosity , 1999, Journal of Biosciences.

[11]  Pierre J. Carreau,et al.  An analysis of the viscous behaviour of polymeric solutions , 1979 .

[12]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[13]  S. Wolfram.  Cellular automaton fluids 1: Basic theory , 1986 .

[14]  Numerical Simulation of the Flow Field in the Mixing Section of a Screw Extruder by the Lattice Gas Automata Method , 2003 .

[15]  Jean-Robert Clermont,et al.  Numerical simulations of non-isothermal three-dimensional flows in an extruder by a finite-volume method , 2005 .

[16]  Abdel Monim Artoli,et al.  Mesoscopic Simulations of Unsteady Shear-Thinning Flows , 2006, International Conference on Computational Science.

[17]  Michael R. Strayer.  Computational science for the 21st century , 2005 .

[18]  Dirk Kehrwald,et al.  Lattice Boltzmann Simulation of Shear-Thinning Fluids , 2005 .

[19]  Alfio Quarteroni,et al.  Modeling and simulation of blood flow problems , 1997 .

[20]  J. Boyd,et al.  Comparison of Newtonian and non-Newtonian flows in a two-dimensional carotid artery model using the lattice Boltzmann method , 2007, Physics in medicine and biology.

[21]  Alfio Quarteroni,et al.  Computational vascular fluid dynamics: problems, models and methods , 2000 .

[22]  J. Boyd,et al.  Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method , 2007 .

[23]  Joel Koplik,et al.  Lattice Boltzmann method for non-Newtonian (power-law) fluids. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Winslow H. Herschel,et al.  Konsistenzmessungen von Gummi-Benzollösungen , 1926 .

[25]  A. M. Artoli,et al.  Mesoscopic Computational Haemodynamics , 2003 .

[26]  Kiyohito Koyama,et al.  Design of a new type of pin mixing section for a screw extruder based on analysis of flow and distributive mixing performance , 1997 .

[27]  Stefano Curcio,et al.  Optimal design of single-screw extruder for liquorice candy production: a rheology based approach , 2001 .

[28]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[29]  Fjh Frank Gijsen.  Modeling of wall shear stress in large arteries , 1998 .

[30]  James Buick,et al.  Numerical simulation of the flow field in the mixing section of a screw extruder by the lattice Boltzmann model , 2006 .

[31]  Q. Zou,et al.  On pressure and velocity boundary conditions for the lattice Boltzmann BGK model , 1995, comp-gas/9611001.

[32]  W. Yao,et al.  Analytical Study on Flow and Distributive Mixing of a New Type Pin Mixing Section for Screw Extruder , 1996 .

[33]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[34]  J Broszeit,et al.  Finite-element simulation of circulating steady flow for fluids of the memory-integral type: flow in a single-screw extruder , 1997 .

[35]  Kathryn L. McCarthy,et al.  Flow fields in straight and tapered screw extruders using magnetic resonance imaging , 1995 .

[36]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .