Estimation of the role of obstacles in the downslope soil flow with a simple erosion model: the analytical solution and its approximation with the lattice Boltzmann model

CATENA ◽  
2004 ◽  
Vol 57 (3) ◽  
pp. 261-275 ◽  
Author(s):  
F.J. Jiménez-Hornero ◽  
J.V. Giráldez ◽  
A. Laguna
Author(s):  
Fuzhi Tian ◽  
Baoming Li ◽  
Daniel Y. Kwok

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.


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