Abstract
Viscous flow is familiar and useful, yet the underlying physics is surprisingly subtle and complex. Recent experiments an simulations show that the textbook assumption of 'no slip at the boundary' can fail greatly when walls are sufficiently smooth. The reasons for this seem to involve materials chemistry interactions that can be controlled-especially wettability and the presence of trace impurities, even of dissolved gases. To discover what boundary condition is appropriate for solving continuum equations requires investigation of microscopic particulars. Here, we draw attention to unresolved topics of investigation and to the potential to capitalize on 'slip at the wall' for purposes of materials engineering.
Original language | English (US) |
---|---|
Pages (from-to) | 221-227 |
Number of pages | 7 |
Journal | Nature Materials |
Volume | 2 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2003 |
ASJC Scopus subject areas
- General Chemistry
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
Fingerprint
Dive into the research topics of 'Slippery questions about complex fluids flowing past solids'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS
In: Nature Materials, Vol. 2, No. 4, 04.2003, p. 221-227.
Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Slippery questions about complex fluids flowing past solids
AU - Granick, Steve
AU - Zhu, Yingxi
AU - Lee, Hyunjung
N1 - Funding Information: 3. Vinogradova,O.I.Slippage ofwater over hydrophobic surfaces.Int.J.Miner. Process 56, 31–60 (1999). 4. Schowalter,W.R.The behavior ofcomplex fluids at solid boundaries.J.Non-Newton. Fluid 29, 25–36 (1988). 5. Léger,L.,Raphael,E.& Hervet,H.Surface-anchored polymer chains:their role in adhesion and friction. Adv. Polym. Sci. 138, 185–225 (1999). 6. Denn,M.M.Extrusion instabilities and wall slip.Annu.Rev.Fluid Mech.33, 265–287 (2001). 7. Debye,P.& Cleland,R.L.Flow ofliquid hydrocarbons in porous Vycor.J.Appl. Phys. 30, 843–49 (1958). 8. Ruckenstein,E.& Rajora,P.On the no-slip boundary condition of hydrodynamics. J. Colloid Interface Sci. 96, 488–493 (1983). 9. Churaev,N.V.,Sobolev,V.D.& Somov,A.N.Slippage ofliquids over lyophobic solid surfaces. J. Colloid Interface Sci. 97, 574–581 (1984). 10.Chan, D. Y. C. & Horn, R. G. The drainage of thin liquid films between solid surfaces. J. Chem. Phys. 83, 5311–5324 (1985). 11.Israelachvili, J. N. Measurement of the viscosity of liquids in very thin films.J. Colloid Interface Sci. 110, 263–271 (1986). 12.Georges, J. M., Millot, S., Loubet, J. L. & Tonck,A. Drainage of thin liquid-films between relatively smooth surfaces. J. Chem. Phys. 98, 7345–7360 (1993). 13.Wein, O. & Tovchigrechko,V. V. Rotational viscometry under presence of apparent wall slip. J. Rheol. 36, 821–843 (1992). 14.Barnes, H. A.A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure. J. Non-Newton. Fluid 56, 221–251 (1995). 15.Achilleos, E. C., Georgiou, G. & Hatzikiriakos, S. G. Role of processing aids in the extrusion of molten polymers. J.Vinyl Addit. Technol. 8, 7–24 (2002). 16.Noever, D. A. Diffusive slip and surface transport-properties. J. Colloid Interface Sci. 147, 186–191 (1991). 17.Granick, S. Soft matter in a tight spot. Phys. Today 52, 26–31 (1999). 18.Thompson, P. A. & Robbins, M. O. Shear flow near solids: epitaxial order and flow boundary condition. Phys. Rev. A 41, 6830–6839 (1990). 19.Thompson, P.A. & Troian, S.A general boundary condition for liquid flow at solid surfaces. Nature 389, 360–362 (1997). 20.Barrat, J.-L. & Bocquet, L. Large slip effect at a nonwetting fluid-solid interface. Phys. Rev. Lett. 82, 4671–4674 (1999). 21.Brenner, H. & Ganesan,V. Molecular wall effects: are conditions at a boundary ‘boundary conditions’? Phys. Rev. E. 61, 6879–6897 (2000). 22. Gao, J., Luedtke,W. D. & Landman, U. Structures, solvation forces and shear of molecular films in a rough nano-confinement. Tribol. Lett. 9, 3–134 (2000). 23.Denniston, C. & Robbins, M. O. Molecular and continuum boundary conditions for a miscible binary fluid. Phys.Rev. Lett. 87, 178302 (2001). 24.Campbell, S. E., Luengo, G., Srdanov,V. I.,Wudl, F. & Israelachvili, J. N.Very low viscosity at the solid-liquid interface induced by adsorbed C-60 monolayers. Nature 382, 520–522 (1996). 25.Kiseleva, O. A., Sobolev,V. D. & Churaev, N. V. Slippage of the aqueous solutions of cetyltriimethylammonium bromide during flow in thin quartz capillaries. Colloid J. 61, 263–264 (1999). 26.Pit, R., Hervet, H. & Léger, L. Direct experimental evidence of slip in hexadecane-solid interfaces. Phys.Rev. Lett. 85, 980–983 (2000). 27.Craig,V. S. J., Neto, C. & Williams, D. R. M. Shear-dependent boundary slip in aqueous Newtonian liquid. Phys.Rev. Lett. 87, 54504 (2001). 28.Zhu,Y. & Granick, S. Rate-dependent slip of Newtonian liquid at smooth surfaces. Phys.Rev. Lett. 87, 096105 (2001). 29.Zhu,Y. & Granick, S. Limits of the hydrodynamic no-slip boundary condition. Phys. Rev. Lett. 88, 106102 (2002). 30.Zhu,Y. & Granick, S.Apparent slip of Newtonian fluids past adsorbed polymer layers. Macromolecules 36, 4658–4663 (2002). 31.Zhu,Y. & Granick, S. The no slip boundary condition switches to partial slip when the fluid contains surfactant. Langmuir 18, 10058–10063 (2002). 32.Bonaccurso, E., Kappl, M. & Butt, H.-J. Hydrodynamic force measurements: boundary slip of water on hydrophilic surfaces and electrokinetic effects. Phys. Rev. Lett. 88, 076103 (2002). 33.Baudry, J., Charlaix, E., Tonck,A. & Mazuyer, D. Experimental evidence of a large slip effect at a nonwetting fluid-solid interface. Langmuir 17, 5232–5236 (2002). 34.Tretheway, D. C. & Meinhart, C. D.Apparent fluid slip at hydrophobic microchannel walls. Phys. Fluids 14, L9–L12 (2002). 35.Britton, M. M. & Callaghan, P. T. Two-phase shear band structures at uniform stress. Phys.Rev. Lett. 78, 4930–4933 (1997). 36.Nye, J. F.A calculation on the sliding of ice over a wavy surface using a Newtonian viscous approximation. Proc. Roy. Soc. A 311, 445–467 (1969). 37.Richardson, S. On the no-slip boundary condition. J. Fluid Mech. 59, 707–719 (1973). 38.Jansons, K. M. Determination of the macroscopic (partial) slip boundary condition for a viscous flow over a randomly rough surface with a perfect slip microscopic boundary condition Phys. Fluids 31, 15–17 (1988). 39.Spikes, H. A. The half-wetted bearing. Part 2: potential application to low load contacts. Proc. Inst. Mech. Eng. Part J 217, 15–26 (2003). 40. de Gennes, P.-G. On fluid/wall slippage. Langmuir 18, 3413–3414 (2002). 41.Tyrrell, J. W. G. & Attard, P.Atomic force microscope images of nanobubbles on a hydrophobic surface and corresponding force-separation data. Langmuir 18, 160–167 (2002). 42.Ishida, N., Inoue, T., Miyahara, N. & Higashitani, K. Nano bubbles on a hydrophobic surface in water observed by tapping-mode atomic force microscopy. Langmuir 16, 6377–6380 (2000). 43.Boehnke, U. C. et al. Partial air wetting on solvophobic surfaces in polar liquids. J. Colloid Interface Sci. 211, 243–251 (1999). 44.Lum, K., Chandler, D. & Weeks, J. D. Hydrophobicity at small and large length scales. J. Phys. Chem. B 103, 4570–4577 (1999). 45.Zhang, X., Zhu,Y. & Granick, S. Hydrophobicity at a Janus interface. Science 295, 663–666 (2002). 46.Onda, T., Shibuichi, S., Satoh, N. & Tsuji, K. Super-water-repellent fractal surfaces. Langmuir 12, 2125–2127 (1996). 47.Bico, J., Marzolin, C. & Quéré, D. Pearl drops. Europhys. Lett. 47, 220–226 (1999). 48.Herminghaus, S. Roughness-induced non-wetting. Europhys. Lett. 52, 165–170 (2000). 49.Watanabe, K., Udagawa,Y. & Udagawa, H. Drag reduction of Newtonian fluid in a circular pipe with a highly water-repellent wall. J. Fluid Mech. 381, 225–238 (1999). 50.Bechert, D. W., Bruse, M., Hage,W. & Meyer, R. Fluid mechanics of biological surfaces and their technological application. Naturwissenschaften 87, 157–171 (2000). Acknowledgements. For discussions, we are indebted to John Brady, Michel Cloître, Jack Douglas, Steve Meeker, Hugh Spikes, Jan Vermant and Norman Wagner. This work was supported in part by a grant to H.L. by the postdoctoral fellowship program from Korea Science & Engineering Foundation (KOSEF). This work was supported by the U.S. Department of Energy, Division of Materials Science, under Award No. DEFG02-91ER45439 through the Frederick Seitz Materials Research Laboratory at the University of Illinois at Urbana-Champaign. Correspondence and requests for materials should be addressed to S.G.
PY - 2003/4
Y1 - 2003/4
N2 - Viscous flow is familiar and useful, yet the underlying physics is surprisingly subtle and complex. Recent experiments an simulations show that the textbook assumption of 'no slip at the boundary' can fail greatly when walls are sufficiently smooth. The reasons for this seem to involve materials chemistry interactions that can be controlled-especially wettability and the presence of trace impurities, even of dissolved gases. To discover what boundary condition is appropriate for solving continuum equations requires investigation of microscopic particulars. Here, we draw attention to unresolved topics of investigation and to the potential to capitalize on 'slip at the wall' for purposes of materials engineering.
AB - Viscous flow is familiar and useful, yet the underlying physics is surprisingly subtle and complex. Recent experiments an simulations show that the textbook assumption of 'no slip at the boundary' can fail greatly when walls are sufficiently smooth. The reasons for this seem to involve materials chemistry interactions that can be controlled-especially wettability and the presence of trace impurities, even of dissolved gases. To discover what boundary condition is appropriate for solving continuum equations requires investigation of microscopic particulars. Here, we draw attention to unresolved topics of investigation and to the potential to capitalize on 'slip at the wall' for purposes of materials engineering.
UR - http://www.scopus.com/inward/record.url?scp=0038206540&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0038206540&partnerID=8YFLogxK
U2 - 10.1038/nmat854
DO - 10.1038/nmat854
M3 - Article
C2 - 12690393
AN - SCOPUS:0038206540
SN - 1476-1122
VL - 2
SP - 221
EP - 227
JO - Nature Materials
JF - Nature Materials
IS - 4
ER -