Cited Article: Thompson, P. A general boundary condition for liquid flow at solid surfaces
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Title:
SLIP BOUNDARY CONDITION FOR VISCOUS FLOW OVER SOLID SURFACES
Authors:
Yang, FQ
Author Full Names:
Yang, Fuqian
Source:
CHEMICAL ENGINEERING COMMUNICATIONS 197 (4): 544-550 2010
Language:
English
Document Type:
Article
Author Keywords:
Slip flow; Rate theory
Abstract:
A slip boundary condition is derived for the flow of a viscous fluid over a solid surface, using the theory of thermal activation process. The slip velocity is proportional to the hyperbolic sine of the shear stress on the solid surface, and the slip boundary condition reduces to Navier's slip boundary condition for the flow of Newtonian fluids under small shear stresses. There exists a critical shear stress determining the onset of the slip flow.
Reprint Address:
Yang, FQ, Univ Kentucky, Dept Chem & Mat Engn, Lexington, KY 40506 USA.
Research Institution addresses:
Univ Kentucky, Dept Chem & Mat Engn, Lexington, KY 40506 USA
E-mail Address:
fyang0@engr.uky.edu
Cited References:
EU BC, 1992, KINETIC THEORY IRREV.
EYRING H, 1936, J CHEM PHYS, V4, P283.
HOLT JK, 2006, SCIENCE, V312, P1034, DOI 10.1126/science.1126298.
LICHTER S, 2007, PHYS REV LETT, V98, ARTN 226001.
MYONG RS, 1999, PHYS FLUIDS, V11, P2788.
NAVIER CLM, 1823, MEMOIRES ACAD ROYALE, V6, P389.
PAN LS, 2000, J MICROMECH MICROENG, V10, P21.
REESE JM, 2003, PHILOS T R SOC A, V361, P2967, DOI 10.1098/rsta.2003.1281.
THOMPSON PA, 1997, NATURE, V389, P360.
ULMANELLA U, 2003, THESIS U CALIFORNIA.
YANG FQ, 2007, APPL PHYS LETT, V90, ARTN 133105.
Cited Reference Count:
11
Times Cited:
0
Publisher:
TAYLOR & FRANCIS INC; 325 CHESTNUT ST, SUITE 800, PHILADELPHIA, PA 19106 USA
Subject Category:
Engineering, Chemical
ISSN:
0098-6445
DOI:
10.1080/00986440903245948
IDS Number:
530KX
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