Cited Article: Lichter S. Mechanisms for liquid slip at solid surfaces
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Title:
A continuum approach to reproduce molecular-scale slip behaviour
Authors:
Hsu, HY; Patankar, NA
Author Full Names:
Hsu, H. -Y.; Patankar, N. A.
Source:
JOURNAL OF FLUID MECHANICS 645: 59-80 FEB 25 2010
Language:
English
Document Type:
Article
KeyWords Plus:
CARBON NANOTUBES; INHOMOGENEOUS FLUIDS; BOUNDARY-CONDITION; KINETIC-THEORY; FLOW; SURFACES; LIQUID; ROUGH; SIMULATIONS; INTERFACES
Abstract:
In this work we explore if it is possible to reproduce molecular-scale slip behaviour by using continuum equations. To that end it is noted that molecular-scale slip is affected by three factors: (1) near the wall, the fluid experiences a potential because of the wall; (ii) the fluid density responds to that potential, and hence, fluid compressibility is relevant; and (iii) the fluid call lose momentum to the wall. To incorporate these features we simulate shear flow of a compressible fluid between two walls in the presence of a potential. Compressibility effect is found to be important only in the near-wall region. The slip length is calculated from the mean velocity profile. The slip-length h-versus-shear-rate trend is similar to that in molecular dynamic calculations. First, there is a constant value of the slip length at low shear rates. Then, the slip length increases beyond a critical shear rate. Lastly, the slip length reaches another constant value if the wall moment!
um loss parameter is non-zero. The scaling for the critical shear rate emerges from our results. The value of the slip length increases if the wall potential is less corrugated and if the momentum loss to the wall is low. All understanding of the overall force balance during various slip modes emerges from the governing equations.
Reprint Address:
Patankar, NA, Northwestern Univ, Dept Mech Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA.
Research Institution addresses:
[Hsu, H. -Y.; Patankar, N. A.] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
E-mail Address:
n-patankar@northwestern.edu
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Cited Reference Count:
35
Times Cited:
0
Publisher:
CAMBRIDGE UNIV PRESS; 32 AVENUE OF THE AMERICAS, NEW YORK, NY 10013-2473 USA
Subject Category:
Mechanics; Physics, Fluids & Plasmas
ISSN:
0022-1120
DOI:
10.1017/S0022112009992540
IDS Number:
570LF
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