TY - JOUR
T1 - Friction and the continuum limit - Where is the boundary?
AU - Zhu, Yingxi
AU - Granick, Steve
N1 - Funding Information:
We thank Olga Vinogradova for helpful comments. This work was supported in part by the Ford Motor Co., the National Science Foundation (Tribology Program) and the U.S. Department of Energy, Division of Materials Science through the Frederick Seitz Materials Research Laboratory at the University of Illinois at Urbana-Champaign.
PY - 2001
Y1 - 2001
N2 - The no-slip boundary condition, believed to describe macroscopic flow of low-viscosity fluids, overestimates hydrodynamic forces starting at lengths corresponding to hundreds of molecular dimensions when water or tetradecane is placed between smooth nonwetting surfaces whose spacing varies dynamically. When hydrodynamic pressures exceed 0.1-1 atmospheres (this occurs at spacings that depend on the rate of spacing change), flow becomes easier than expected. Therefore solid-liquid surface interactions influence not just molecularly-thin confined liquids but also flow at larger length scales. This points the way to strategies for energy-saving during fluid transport and may be relevant to filtration, colloidal dynamics, and microfluidic devices, and shows a hitherto-unappreciated dependence of slip on velocity.
AB - The no-slip boundary condition, believed to describe macroscopic flow of low-viscosity fluids, overestimates hydrodynamic forces starting at lengths corresponding to hundreds of molecular dimensions when water or tetradecane is placed between smooth nonwetting surfaces whose spacing varies dynamically. When hydrodynamic pressures exceed 0.1-1 atmospheres (this occurs at spacings that depend on the rate of spacing change), flow becomes easier than expected. Therefore solid-liquid surface interactions influence not just molecularly-thin confined liquids but also flow at larger length scales. This points the way to strategies for energy-saving during fluid transport and may be relevant to filtration, colloidal dynamics, and microfluidic devices, and shows a hitherto-unappreciated dependence of slip on velocity.
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M3 - Conference article
AN - SCOPUS:0035558615
VL - 651
SP - T4.2a.1-T4.2a.8
JO - Materials Research Society Symposium Proceedings
JF - Materials Research Society Symposium Proceedings
SN - 0272-9172
T2 - Dynamics in Small Confining Systems V
Y2 - 27 November 2000 through 30 November 2000
ER -