Title
Mesoscopic modelling of local phase transitions and apparent-slip phenomena in microflows
Abstract
The phenomenon of apparent slip in micro-channel flows is analyzed by means of a two-phase mesoscopic lattice Boltzmann model with non-ideal fluid-fluid and fluid-wall interactions. Analytical solutions of the weakly inhomogeneous hydrodynamic limit of this model are successfully compared with numerical simulations and show that the present mesoscopic approach is capable of filling the gap between the atomistic size of the interaction potential and the millimetric size of the slip length reported in microflow experiments. In the critical interplay between fluid-fluid and fluid-wall interactions, our approach indicates an exponential inflation of the slip length as a function of the ratio of potential to thermal energy.
Year
DOI
Venue
2006
10.1016/j.matcom.2006.05.034
Mathematics and Computers in Simulation
Keywords
Field
DocType
millimetric size,local phase transitions,local phase transition,analytical solution,apparent-slip phenomenon,two-phase mesoscopic lattice boltzmann,apparent slip,present mesoscopic approach,apparent-slip phenomena,non-ideal fluid-fluid,fluid-wall interaction,atomistic size,mesoscopic modelling,slip length,interaction potential,channel flow,phase transition,numerical simulation,analytic solution
Statistical physics,Exponential function,Thermal energy,Phase transition,Mesoscopic physics,Slip (materials science),Lattice boltzmann model,Physics
Journal
Volume
Issue
ISSN
72
2-6
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
R. Benzi100.68
L. Biferale2111.52
M. Sbragaglia3305.62
S. Succi4267.23
federico toschi5308.29