A Universal Molecular-Kinetic Scaling Relation for Slip of a Simple Fluid at a Solid Boundary

Abstract

Using the observation that slip in simple fluids at low and moderate shear rates is a thermally activated process driven by the shear stress in the fluid close to the solid boundary, we develop a molecular-kinetic model for simple fluid slip at solid boundaries. The proposed model, which is in the form of a universal scaling relation that connects slip and shear rate, reduces to the well known Navier-slip condition under low shear conditions, providing a direct connection between molecular parameters and the slip length. Molecular-dynamics simulations are in very good agreement with the predicted dependence of slip on system parameters, including the temperature and fluid-solid interaction strength. Connections between our model and previous work, as well as simulation and experimental results are explored and discussed.

References in corpus (4)

• Rate-dependent slip boundary conditions for simple fluids
• Effect of surface roughness on rate-dependent slip in simple fluids
• Fluid velocity slip and temperature jump at a solid surface
• Why are Fluid Densities So Low in Carbon Nanotubes?

Cited by in corpus (5)

• The measurement of Navier slip on individual nanoparticles in liquid
• Slippery-Sticky Transition of Interfacial Fluid Slip
• An atomistic model for the thermal resistance of a liquid-solid interface
• Slip-flow theory for thermo-osmosis based on a kinetic model with near-wall potential
• Giant slip length at a supercooled liquid-solid interface