Modeling of processes at Couette simple fluid flow in flat nano-scopic canal

A. K. Abramyan ; L. V. Mirantsev ; A. Yu. Kuchmin

Matematičeskoe modelirovanie, Tome 24 (2012) no. 4, pp. 3-21

Résumé

Methods of molecular dynamics and signal analysis have been used for detailed investigation of processes occurring in nano-scopic canals through which the Couette flow of a simple fluid passes. The flows in the flat canal with both crystalline and amorphous walls have been studied. Interactions between the fluid atoms as well as between the fluid atoms and the wall atoms have been simulated using the Lennard–Jones potential. Velocity profiles of the fluid flow through the canal with crystalline walls and the canal with amorphous walls have been found; besides, the frictional force time dependences at various velocities of the moving walls have been obtained. Fourier and wavelet analysis of those dependences have been performed to reveal the friction force components corresponding to various physical processes taking place in the fluid. It has been shown that the time dependence revealed in the Couette flow passing through the canal with crystalline walls accounts for the existence of a periodical structure induced by the walls and for the wave processes occurring across the canal. Also, periodical processes of originating a zone of the initial periodical structure destruction and of its revivification have been revealed.

Détail

Keywords: nano-channel, molecular dynamics simulation.
Mots-clés : Couette flow