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. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.

Benzi, R., Biferale, L., Sbragaglia, M., Succi, S., Toschi, F. (2006). Mesoscopic modelling of local phase transitions and apparent-slip phenomena in microflows. In Mathematics and Computers in Simulation (pp.84-88). AMSTERDAM : ELSEVIER SCIENCE BV [10.1016/j.matcom.2006.05.034].

Mesoscopic modelling of local phase transitions and apparent-slip phenomena in microflows

BENZI, ROBERTO;BIFERALE, LUCA;SBRAGAGLIA, MAURO;
2006

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. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
14th International Conference on Discrete Simulation of Fluid Dynamics in Comples Systems
Kyoto, JAPAN
21st Century COE Program Res & Educ Complex Funct Mech Syst, Kyoto Univ Fdn, Kyoto Univ, Grad Sch Engn
Rilevanza internazionale
su invito
2006
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
English
mesoscopic modelling; local phase transitions; apparent-slip phenomena
Intervento a convegno
Benzi, R., Biferale, L., Sbragaglia, M., Succi, S., Toschi, F. (2006). Mesoscopic modelling of local phase transitions and apparent-slip phenomena in microflows. In Mathematics and Computers in Simulation (pp.84-88). AMSTERDAM : ELSEVIER SCIENCE BV [10.1016/j.matcom.2006.05.034].
Benzi, R; Biferale, L; Sbragaglia, M; Succi, S; Toschi, F
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/39069
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