Electrokinetic microfluidic phenomena by a lattice Boltzmann model using a modified Poisson–Boltzmann equation with an excluded volume effect

2004 ◽  
Vol 120 (2) ◽  
pp. 947-953 ◽  
Author(s):  
Baoming Li ◽  
Daniel Y. Kwok
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Volume Effect ◽  
Lattice Boltzmann Model ◽  
Excluded Volume ◽  
Excluded Volume Effect ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Boltzmann Model

Simulation of Electroosmotic Flows in Micro- and Nanochannels Using a Lattice Boltzmann Model

2004 ◽  
Author(s):  
Fuzhi Tian ◽  
Baoming Li ◽  
Daniel Y. Kwok
Keyword(s):  
Boltzmann Equation ◽  
Analytical Solution ◽  
Charge Distribution ◽  
Excellent Agreement ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Computational Tool ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Boltzmann Model

A Lattice Boltzman Model (LBM) with the Poisson-Boltzmann equation for charge distribution is presented for the simulation of electroosmotic transport in straight rectangular micro and nanochannels. Our results from the LBM are in excellent agreement with the corresponding analytical solution. We have shown that the Lattice Boltzmann Model in the presence of an external force may be used an effective computational tool to simulate the electroosmotic transport phenomena in micro- and nanochannels.

DEVELOPING LBM-BASED FLUX SOLVER AND ITS APPLICATIONS IN MULTI-DIMENSION SIMULATIONS

2012 ◽  
Vol 19 ◽  
pp. 90-99
Author(s):  
KUN QU ◽  
CHANG SHU ◽  
JINSHENG CAI
Keyword(s):  
Boltzmann Equation ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Navier Stokes ◽  
Lattice Boltzmann Equation ◽  
One Dimensional ◽  
Volume Method ◽  
Boltzmann Method ◽  
Boltzmann Model

In this paper, a new flux solver was developed based on a lattice Boltzmann model. Different from solving discrete velocity Boltzmann equation and lattice Boltzmann equation, Euler/Navier-Stokes (NS) equations were solved in this approach, and the flux at the interface was evaluated with a compressible lattice Boltzmann model. This method combined lattice Boltzmann method with finite volume method to solve Euler/NS equations. The proposed approach was validated by some simulations of one-dimensional and multi-dimensional problems.

Interfacial Electrokinetic Effects on Fluid Flow in Microchannel by a Generalized Lattice Boltzmann Model

2003 ◽  
Author(s):  
Baoming Li ◽  
Steven Chai ◽  
Fuzhi Tian ◽  
Daniel Y. Kwok
Keyword(s):  
Fluid Dynamics ◽  
Double Layer ◽  
Lattice Boltzmann ◽  
Electric Double Layer ◽  
Lattice Boltzmann Model ◽  
Charged Surface ◽  
Ion Distribution ◽  
Prediction Ability ◽  
Poisson Boltzmann Equation ◽  
Boltzmann Model

A diffuse electric double layer (EDL) in microchannel flow created by the charged surface in contact with an electrolyte solution is characterized by the so-called Debye-Hu¨ckel screening length, which depends on the ionic strength of the solution. Usually, the electric double layer thickness, which is from several nanometers to a few hundreds nanometers, is small in comparison with the microchannel height of a few tens microns. Traditional computational fluid dynamics (CFD) methods for macroscopic hydrodynamic equations have difficulties in such complex fluid dynamics problems involving microscale surface interactions. In this paper, we employ a two-dimensional generalized lattice Boltzmann model in the presence of external forces on a rectangular grid with an arbitrary aspect ratio and nonuniform mesh grids. A modified Poisson-Boltzmann equation is applied to examine the adsorption of ions from solution to a charged surface and obtain the electrostatic potential and ion distribution. An example with electroviscous flow in microchannel is used to validate the prediction ability of the model proposed here. Excellent agreement with experimental results was found.

A TWO-FLUID BGK LATTICE BOLTZMANN MODEL FOR IDEAL MIXTURES

2007 ◽  
Vol 18 (04) ◽  
pp. 566-575 ◽  
Author(s):  
CARLOS ENRIQUE PICO ◽  
LUÍS ORLANDO EMERICH DOS SANTOS ◽  
PAULO CESAR PHILIPPI
Keyword(s):  
Diffusion Coefficient ◽  
Boltzmann Equation ◽  
Lattice Boltzmann ◽  
Momentum Transport ◽  
Lattice Boltzmann Model ◽  
Quadrature Method ◽  
Binary Diffusion Coefficient ◽  
Binary Diffusion ◽  
Boltzmann Model ◽  
Two Fluid

In the present work, a lattice Boltzmann model for binary mixtures is formally derived from a two-fluid kinetic model of Maxwell molecules by discretizing the Boltzmann equation. In this model, collisions among the same and different species are treated separately, as non-linear BGK terms, enabling the independent management of the fluid viscosities and the binary diffusion coefficient. The velocity space is discretized, in accordance with a quadrature method based on prescribed abscissas. A Chapman-Enskog analysis is performed for deriving the macroscopic mass and momentum transport equations. The model is verified against theoretical solutions for the concentration and velocity step problems.

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