Lattice Boltzmann simulations: flow-through

Droplet formation in a co-flowing microfluidic device is investigated with the lattice Boltzmann method (LBM). This LBM code was validated with two benchmarks such as Poiseuille flow through a straight duct and Taylor deformation on droplets between two shearing plates. A comparison of experimental droplet formation in a microchannel (Cramer et al, 2004) showed good quantitative agreement with our modeling results. With this code, a large number of simulations were carried out with various inlet flow rate ratios at various Re and various interfacial tensions in the co-flowing microfluidic system. All resulting droplet sizes are discussed quantitatively with the nondimensional parameters, which is helpful for droplet control in different co-flowing devices.

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Fluid–particle interaction from lattice Boltzmann simulations for flow through polydisperse random arrays of spheres

Chemical Engineering Science ◽

10.1016/j.ces.2009.02.045 ◽

2009 ◽

Vol 64 (11) ◽

pp. 2683-2691 ◽

Cited By ~ 42

Author(s):

S. Sarkar ◽

M.A. van der Hoef ◽

J.A.M. Kuipers

Keyword(s):

Lattice Boltzmann ◽

Particle Interaction ◽

Fluid Particle ◽

Lattice Boltzmann Simulations ◽

Random Arrays ◽

Flow Through ◽

Arrays Of Spheres

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Flow Through Nano Porous Media: Defining a Benchmark Scenario

ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels ◽

10.1115/icnmm2012-73067 ◽

2012 ◽

Author(s):

Marc-Florian Uth ◽

Heinz Herwig

Keyword(s):

Porous Media ◽

Lattice Boltzmann ◽

Complex Flows ◽

Benchmark Scenario ◽

Lattice Boltzmann Simulations ◽

Small Scales ◽

Flow Situation ◽

Flow Through ◽

General Continuum ◽

The Continuum

A benchmark scenario for studying the effect of non-continuum phenomena on the macroscopic properties of nano porous media is introduced. It consists of three geometries typical for the flow situation in porous media and should be representative for complex flows in general. Continuum results are presented as reference cases reaching from no-slip to total slip and different values of slip lengths. The results are compared to Lattice-Boltzmann simulations combined with a modification of the Shan-Chen model to account for slip. The comparison shows deviations between the models that can not be observed in a flow over flat walls. Such continuum results are provided for comparing them with simulations based on molecular dynamics on the nano scale in order to identify the breakdown of the continuum assumptions for small scales.

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LATTICE-BOLTZMANN SIMULATIONS OF FLOW THROUGH NAFION POLYMER MEMBRANES

International Journal of Modern Physics B ◽

10.1142/s0217979203017217 ◽

2003 ◽

Vol 17 (01n02) ◽

pp. 135-138 ◽

Cited By ~ 9

Author(s):

HIDEMITSU HAYASHI ◽

SATORU YAMAMOTO ◽

SHI-AKI HYODO

Keyword(s):

Lattice Boltzmann ◽

Dissipative Particle Dynamics ◽

Three Dimensional ◽

Polymer Membranes ◽

Dynamics Simulation ◽

Fluid Viscosity ◽

Lattice Boltzmann Simulations ◽

Flow Through ◽

Boltzmann Method ◽

Dissipative Particle Dynamics Simulation

Simulations of flow through three-dimensional porous structures of NAFION polymer membranes are performed with a Lattice-Boltzmann method (LBM) for incompressible fluid. Geometry data of NAFION are constructed from a result of a dissipative particle dynamics simulation for three values of the water content, 10%, 20%, and 30%, and are used as the geometry input for the LBM. Permeability of the porous structure is extracted from results of the LBM simulation using Darcy's low. The permeability K is shown to be expressed as K = L2 × Ktpl with a characteristic length L and the dimensionless permeability Ktpl depending only on the topological structure of the porous media. Dependence of Ktpl is examined on the pressure gradient, the fluid viscosity, and the resolution of the computational grid.

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