Cited Article: Thompson, P. A general boundary condition for liquid flow at solid surfaces
Alert Expires: 09 NOV 2010
Number of Citing Articles: 2 new records this week (2 in this e-mail)
Organization ID: 3b97d1bbc1878baed0ab183d8b03130b
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Title:
Steady and quasi-steady thin viscous flows near the edge of a solid surface
Authors:
Barenblatt, GI; Bertsch, M; Giacomelli, L
Author Full Names:
Barenblatt, G. I.; Bertsch, M.; Giacomelli, L.
Source:
EUROPEAN JOURNAL OF APPLIED MATHEMATICS 21: 253-270 Part 3 JUN 2010
Language:
English
Document Type:
Article
KeyWords Plus:
FILM EQUATION; LIQUID-FILMS; STATES; TOPOGRAPHY; STABILITY; DYNAMICS; DROPLET; MOTION; LINE
Abstract:
A new approach is proposed for the description of thin viscous flows near the edges of a solid surface. For a steady flow, the lubrication approximation and the no-slip condition are assumed to be valid on most of the surface, except for relatively small neighbourhoods of the edges, where a universality principle is postulated: the behaviour of the liquid in these regions is universally determined by flux, external conditions and material properties. The resulting mathematical model is formulated as an ordinary differential equation involving the height of the liquid film and the flux as unknowns, and analytical results are outlined. The form of the universal functions which describe the behaviour in the edge regions is also discussed, obtaining conditions of compatibility with lubrication theory for small fluxes. Finally, an ordinary differential equation is introduced for the description of intermediate asymptotic profiles of a liquid film which flows off a bounded solid s!
urface.
Reprint Address:
Barenblatt, GI, Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA.
Research Institution addresses:
[Barenblatt, G. I.] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA; [Barenblatt, G. I.] Univ Calif Berkeley, EO Lawrence Berkeley Natl Lab, Berkeley, CA 94720 USA; [Bertsch, M.] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy; [Bertsch, M.] CNR, Ist Applicaz Calcolo M Picone, I-00185 Rome, Italy; [Giacomelli, L.] Univ Roma La Sapienza, Dipartimento Me Mo Mat, I-00161 Rome, Italy
E-mail Address:
giacomelli@dmmm.uniroma1.it
Cited References:
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Cited Reference Count:
31
Times Cited:
0
Publisher:
CAMBRIDGE UNIV PRESS; 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
Subject Category:
Mathematics, Applied
ISSN:
0956-7925
DOI:
10.1017/S0956792510000124
IDS Number:
599UT
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Title:
Smart Wall Model for Molecular Dynamics Simulations of Nanoscale Gas Flows
Authors:
Barisik, M; Kim, B; Beskok, A
Author Full Names:
Barisik, Murat; Kim, Bohung; Beskok, Ali
Source:
COMMUNICATIONS IN COMPUTATIONAL PHYSICS 7 (5): 977-993 MAY 2010
Language:
English
Document Type:
Article
Author Keywords:
Rarefied gas flows; kinetic theory; surface effects
KeyWords Plus:
ENTIRE KNUDSEN REGIME; COUETTE-FLOW; KINETIC THEORY; RAREFIED-GAS; MONTE-CARLO; SURFACES
Abstract:
Three-dimensional molecular dynamics (MD) simulations of gas flows confined within nano-scale channels are investigated by introduction of a smart wall model that drastically reduces the memory requirements of MD simulations for gas flows. The smart wall molecular dynamics (SWMD) represents three-dimensional FCC walls using only 74 wall molecules. This structure is kept in the memory and utilized for each gas molecule surface collision. Linear Couette flow of argon at Knudsen number 10 is investigated using the SWMD utilizing Lennard-Jones potential interactions. Effects of the domain size on the periodicity boundary conditions are investigated using three-dimensional simulations. Domain sizes that are one mean-free-path long in the periodic dimensions are sufficient to obtain domain-size independent MD solutions of nano-scale confined gas flows. Comparisons between the two- and three-dimensional simulations show the inadequacy of two-dimensional MD results. Three-dimensiona!
l SWMD simulations have shown significant deviations of the velocity profile and gas density from the kinetic theory based predictions within the force penetration region of the walls.
Reprint Address:
Beskok, A, Old Dominion Univ, Dept Aerosp Engn, Norfolk, VA 23529 USA.
Research Institution addresses:
[Barisik, Murat; Kim, Bohung; Beskok, Ali] Old Dominion Univ, Dept Aerosp Engn, Norfolk, VA 23529 USA
E-mail Address:
mbari003@odu.edu; bkimx006@odu.edu; abeskok@odu.edu
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Cited Reference Count:
21
Times Cited:
0
Publisher:
GLOBAL SCIENCE PRESS; ROOM 3208, CENTRAL PLAZA, 18 HARBOUR RD, WANCHAI, HONG KONG 00000, PEOPLES R CHINA
Subject Category:
Physics, Mathematical
ISSN:
1815-2406
DOI:
10.4208/cicp.2009.09.118
IDS Number:
598TX
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