Lattice-boltzmann and finite element simulations of fluid flow in a SMRX mixer

A detailed comparison between the finite element method (FEM) and the lattice-Boltzmann method (LBM) is presented. As a realistic test case, three-dimensional fluid flow simulations in an SMRX static mixer were performed. The SMRX static mixer is a piece of equipment with excellent mixing performance and it is used as a highly efficient chemical reactor for viscous systems like polymers. The complex geometry of this mixer makes such three-dimensional simulations non-trivial. An excellent agreement between the results of the two simulation methods was found. Furthermore, the numerical results for the pressure drop as a function of the flow rate were close to experimental measurements. Results show that the relatively simple LBM is a good alternative to traditional methods. Copyright © 1999 John Wiley & Sons, Ltd.

[1]  J. Jiménez,et al.  Boltzmann Approach to Lattice Gas Simulations , 1989 .

[2]  Philippe A. Tanguy,et al.  Numerical simulations of mixing in an SMRX static mixer , 1996 .

[3]  Shi Jin,et al.  Physical symmetry and lattice symmetry in the lattice Boltzmann method , 1997 .

[4]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[5]  M. Fortin Old and new finite elements for incompressible flows , 1981 .

[6]  R. Benzi,et al.  Lattice Gas Dynamics with Enhanced Collisions , 1989 .

[7]  A. Ladd Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results , 1993, Journal of Fluid Mechanics.

[8]  J. Georgiadis,et al.  An Evaluation of the Bounce-Back Boundary Condition for Lattice Boltzmann Simulations , 1997 .

[9]  Peter M. A. Sloot,et al.  Implementation Aspects of 3D Lattice-BGK: Boundaries, Accuracy, and a New Fast Relaxation Method , 1999 .

[10]  M. Mutsakis,et al.  Advances in static mixing technology , 1986 .

[11]  Philippe A. Tanguy,et al.  A three-dimensional fictitious domain method for incompressible fluid flow problems , 1997 .

[12]  Lowe,et al.  Effect of Nutrient Diffusion and Flow on Coral Morphology. , 1996, Physical review letters.

[13]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

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

[15]  Yuefan Deng,et al.  A LATTICE BGK MODEL FOR VISCOELASTIC MEDIA , 1997 .

[16]  S. Succi,et al.  The lattice Boltzmann equation on irregular lattices , 1992 .

[17]  Peter M. A. Sloot,et al.  Lattice-Boltzmann hydrodynamics on parallel systems , 1998 .