Lattice‐Boltzmann and finite element simulations of fluid flow in a SMRX Static Mixer Reactor

@article{Kandhai1999LatticeBoltzmannAF,
  title={Lattice‐Boltzmann and finite element simulations of fluid flow in a SMRX Static Mixer Reactor},
  author={Drona Kandhai and David Vidal and Alfons G. Hoekstra and Huub C. J. Hoefsloot and Piet D. Iedema and Peter M. A. Sloot},
  journal={International Journal for Numerical Methods in Fluids},
  year={1999},
  volume={31},
  pages={1019-1033}
}
  • D. Kandhai, D. Vidal, P. Sloot
  • Published 30 November 1999
  • Engineering
  • International Journal for Numerical Methods in Fluids
SUMMARY 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… 

Figures and Tables from this paper

From creeping to inertial flow in porous media : a lattice Boltzmann-finite element study
The lattice Boltzmann method has been successfully applied for the simulation of flow through porous media in the creeping regime. Its technical properties, namely discretization, straightforward
Fixed-grid fluid–structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p-FEM approach
TLDR
The goal is to investigate the validity and efficiency of coupling the two approaches to simulate transient bidirectional Fluid–Structure interaction problems with geometrically non‐linear structural deflections and compare them with a benchmark reference solution computed by a monolithic finite element approach.
Dynamic flow in a Kenics static mixer: An assessment of various CFD methods
The flow in the Kenics static mixer is investigated in detail both numerically and experimentally in the range of Re = 100…1000. It was found that at Re = 300 the flow becomes unsteady. Two numerical
Finite Element Modeling of Viscous Mixing: A Review
The objective of this paper is to review the application of the finite element-based CFD methods in mixing engineering. It provides a good opportunity to summarize the thirty five years of finite
ACCURACY AND EFFICIENCY STUDY OF LATTICE BOLTZMANN METHOD FOR STEADY-STATE FLOW SIMULATIONS
TLDR
The regular lattice-based lattice Boltzmann method is still computationally expensive for obtaining steady-state solutions on single-node computers in comparison with the more advanced conventional Navier-Stokes solvers.
ournal of Statistical Mechanics : J Theory and Experiment From creeping to inertial flow in porous media : a lattice Boltzmann – finite element study
The lattice Boltzmann method has been successfully applied for the simulation of flow through porous media in the creeping regime. Its technical properties, namely discretization, straightforward
Numerical Investigation of Blade Shape in Static Mixing
The mixing performance of the KMX and SMX static mixers have been compared using 3D high-resolution computational fluid dynamics (CFD) simulations. Although these mixers have a similar design
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 45 REFERENCES
A lattice Boltzmann model for multiphase fluid flows
A lattice Boltzmann equation method for simulating multiphase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen et al. for two‐component
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
  • A. Ladd
  • Physics
    Journal of Fluid Mechanics
  • 1994
A new and very general technique for simulating solid–fluid suspensions is described; its most important feature is that the computational cost scales linearly with the number of particles. The
Finite-element simulation of mixing .2. Three-dimensional flow through a kenics mixer
Numerical tools for the analysis of complex 3-D mixing devices were developed Calculations are based on the finite-element method. The flow calculation is combined with that of pathlines for a fairly
A Lattice Boltzmann Subgrid Model for High Reynolds Number Flows
A subgrid turbulence model for the lattice Boltzmann method is proposed for high Reynolds number fluid flow applications. The method, based on the standard Smagorinsky subgrid model and a single-time
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results
  • A. Ladd
  • Physics
    Journal of Fluid Mechanics
  • 1994
A new and very general technique for simulating solid–fluid suspensions has been described in a previous paper (Part 1); the most important feature of the new method is that the computational cost
Lattice Boltzmann computational fluid dynamics in three dimensions
TLDR
The basic principles of a lattice Boltzmann computational method are described and applied to several three-dimensional benchmark problems and a model which requires 14 moving directions instead of the usual 24 directions is developed.
A BOUNDARY ELEMENT METHOD FOR VISCOUS GRAVITY CURRENTS
SUMMARY The viscous gravity spreading of a blob of fluid on a rigid, horizontal, no-slip surface is studied numerically by applying the boundary-element method to the Stokes equation in plane
Lattice BGK Models for Navier-Stokes Equation
We propose the lattice BGK models, as an alternative to lattice gases or the lattice Boltzmann equation, to obtain an efficient numerical scheme for the simulation of fluid dynamics. With a properly
Physical symmetry and lattice symmetry in the lattice Boltzmann method
The lattice Boltzmann method (LBM) is regarded as a specific finite difference discretization for the kinetic equation of the discrete velocity distribution function. We argue that for finite sets of
LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
We present an overview of the lattice Boltzmann method (LBM), a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical
...
1
2
3
4
5
...