Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2010-3pp.379-389

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A.K. Abramyan, N.M. Bessonov, D.A. Indeitsev, and L.V. Mirantsev, "Influence of the Confining Wall Structure on the Fluid Flow in Nanochannels," Mech. Solids. 45 (3), 379-389 (2010)
Year 2010 Volume 45 Number 3 Pages 379-389
DOI 10.3103/S0025654410030088
Title Influence of the Confining Wall Structure on the Fluid Flow in Nanochannels
Author(s) A.K. Abramyan (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, andabr33@yahoo.co.uk)
N.M. Bessonov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, nickbessonov@yahoo.com)
D.A. Indeitsev (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, dmitry.indeitsev@mail2.ipme.ru)
L.V. Mirantsev (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoy pr-t 61, St. Petersburg, 199178 Russia, miran@mail.ru)
Abstract In the present paper, we propose new equations describing the fluid behavior in nanochannels with its molecular structure and the results of tests and numerical experiments taken into account. We consider the Couette and Poiseuille flows. The obtained results show that it is possible to describe the structural transformations in thin layers by using the continuum mechanics methods. We introduce new degrees of freedom of the material by introducing the second continuum, which plays the role of the arising new phase of state. In the models considered here, the properties of the new phase are determined by the influence of rigid boundaries with a different structure.
Keywords nanochannel, Couette and Poiseuille flows, two-phase medium
References
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3.  D. Gourdon and J. Israelachvili, "Transitions between Smooth and Complex Stick Slip Sliding of Surfaces," Phys. Rev. E 68, 021602 (2003).
4.  P. Thomson and M. O. Robbins, "Shear Flow near Solids: Epitaxial Order and Flow Boundary Conditions," Phys. Rev. A 41 (12), 6830-6837 (1990).
5.  B. V. Deryagin, B. V. Zheleznyi, Z. M. Zorin, et al., "Properties of Fluids in Thin Quartz Capillaries," in Surface Forces in Thin Films and Colloid Stability (Nauka, Moscow, 1974), pp. 90-94 [in Russian].
6.  M. P. Allen and D. J. Tilesly, Computer Simulations of Liquids (Clarendon Press, Oxford, 1989).
7.  A. Akhmetov, A. Telin, V. Glukhov, and M. Movletov, "Flow of Emulsion through Slot and Pore Structures," Prog. Mining Oilfield Chem. 5, 287-295 (2003).
Received 14 January 2010
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