We experimentally investigated molecular effects of the slip/no-slip boundary condition of Newtonian liquids in micro- and nanochannels as small as 350 nm. The slip was measurable for channels smaller than approximately . The amount of slip is found to be independent of the channel size, but is a function of the shear rate, the type of liquid (polar or nonpolar molecular structure), and the morphology of the solid surface (molecular-level smoothness).
REFERENCES
1.
J. N.
Israelachvili
, Intermolecular and Surface Forces
, 2nd ed. (Academic
, London, UK
, 1991
).2.
J.
Koplik
and J. R.
Banavar
, “Continuum deductions from molecular hydrodynamics
,” Annu. Rev. Fluid Mech.
27
, 257
(1995
).3.
C.
Neto
, D. R.
Evans
, E.
Bonaccurso
, H. -J.
Butt
, and V. S. J.
Craig
, “Boundary slip in Newtonian liquids: A review of experimental studies
,” Rep. Prog. Phys.
68
, 2859
(2005
).4.
E.
Lauga
, M. P.
Brenner
, and H.
Stone
, “Microfluidics: The no-slip boundary condition
,” Handbook of Experimental Fluid Dynamics
(Springer
, New York
, 2005
), Chap. 15.5.
V. S. J.
Craig
, C.
Neto
, and D. R. M.
Williams
, “Shear-dependent boundary slip in an aqueous Newtonian liquid
,” Phys. Rev. Lett.
87
, 054504
(2001
).6.
Y.
Zhu
and S.
Granick
, “Limits of the hydrodynamic no-slip boundary condition
,” Phys. Rev. Lett.
88
, 106102
(2002
).7.
C.
Cottin-Bizonne
, A.
Steinberger
, B.
Cross
, O.
Raccurt
, and E.
Charlaix
, “Nanohydrodynamics: The intrinsic flow boundary condition on smooth surfaces
,” Langmuir
24
, 1165
(2008
).8.
C.
Cottin-Bizonne
, S.
Jurine
, J.
Baudry
, J.
Crassous
, F.
Restagno
, and E.
Charlaix
, “Nanorheology: An investigation of the boundary condition at hydrophobic and hydrophilic interfaces
,” Eur. Phys. J. E
9
, 47
(2002
).9.
R.
Pit
, H.
Hervet
, and L.
Léger
, “Direct experimental evidence of slip in hexadecane: Solid interfaces
,” Phys. Rev. Lett.
85
, 980
(2000
).10.
R.
Pit
, H.
Hervet
, and L.
Léger
, “Friction and slip of a simple liquid at a solid surface
,” Tribol. Lett.
7
, 147
(1999
).11.
P.
Joseph
and P.
Tabeling
, “Direct measurement of the apparent slip length
,” Phys. Rev. E
71
, 035303
(2005
).12.
T.
Schmatko
, H.
Hervet
, and L.
Léger
, “Friction and slip at simple fluid-solid interfaces: The roles of the molecular shape and the solid-liquid interaction
,” Phys. Rev. Lett.
94
, 244501
(2005
).13.
P.
Huang
, J. S.
Guasto
, and K. S.
Breuer
, “Direct measurement of slip velocities using three-dimensional total internal reflection velocimetry
,” J. Fluid Mech.
566
, 447
(2006
).14.
T.
Schmatko
, H.
Hervet
, and L.
Léger
, “Effect of nanometric-scale roughness on slip at the wall of simple fluids
,” Langmuir
22
, 6843
(2006
).15.
L.
Zhu
, D.
Tretheway
, L.
Petzold
, and C.
Meinhart
, “Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method
,” J. Comput. Phys.
202
, 181
(2005
).16.
N. V.
Churaev
, V.
Sobolev
, and A.
Somov
, “Slippage of liquids over lyophobic solid surface
,” J. Colloid Interface Sci.
97
, 574
(1984
).17.
D. C.
Tretheway
and C. D.
Meinhart
, “Apparent fluid slip at hydrophobic microchannel walls
,” Phys. Fluids
14
, L9
(2002
).18.
C. -H.
Choi
, K. J. A.
Westin
, and K. S.
Breuer
, “Apparent slip flows in hydrophilic and hydrophobic microchannels
,” Phys. Fluids
15
, 2897
(2003
).19.
J.
Pfahler
, J.
Harley
, H.
Bau
, and J. N.
Zemel
, “Gas and liquid flow in small channels
,” in Micromechanical Sensors, Actuators, and Systems
(ASME
, New York
, 1991
), Vol. DSC-32
.20.
U.
Ulmanella
, “Molecular effects on the boundary condition in micro and nano fluidic channels
,” Ph.D. thesis, University of California
, 2003
.21.
J. W.
Benett
and P.
Krulevitch
, “A flexible packaging and interconnect scheme for microfluidic systems
,” Proc. SPIE
3606
, 111
(1999
).22.
S. C.
Yang
and L. B.
Fang
, “Effect of surface roughness on slip flows in hydrophobic and hydrophilic microchannels by molecular dynamics simulation
,” Mol. Simul.
31
, 971
(2005
).23.
N. V.
Priezjev
, “Effect of surface roughness on rate-dependent slip in simple fluids
,” Phys. Rev. E
75
, 051605
(2007
).24.
N. V.
Priezjev
and S. M.
Troian
, “Influence of periodic wall roughness on the slip behaviour at liquid/solid interfaces: Molecular-scale simulations versus continuum predictions
,” J. Fluid Mech.
554
, 25
(2006
).25.
C. H.
Choi
, U.
Ulmanella
, J.
Kim
, C. M.
Ho
, and C. -J.
Kim
, “Effective slip and friction reduction in nanograted superhydrophobic microchannels
,” Phys. Fluids
18
, 087105
(2006
).26.
J.
Xu
and Y.
Li
, “Boundary conditions at the solid-liquid surface over the multiscale channel size from nanometer to micron
,” Int. J. Heat Mass Transfer
50
, 2571
(2007
).© 2008 American Institute of Physics.
2008
American Institute of Physics
You do not currently have access to this content.