Surface Roughness and Effective Stick-Slip Motion

Details Surface Roughness and Effective Stick-Slip Motion Surface Roughness and Effective Stick-Slip Motion

2002-05-17

arxiv.org/abs/cond-mat/0205363v1

Physics

Condensed Matter

Soft Condensed Matter

RevTeX4, 14 pages, 3 figures

Scientific paper

10.1103/PhysRevE.67.026302

The effect of random surface roughness on hydrodynamics of viscous incompressible liquid is discussed. Roughness-driven contributions to hydrodynamic flows, energy dissipation, and friction force are calculated in a wide range of parameters. When the hydrodynamic decay length (the viscous wave penetration depth) is larger than the size of random surface inhomogeneities, it is possible to replace a random rough surface by effective stick-slip boundary conditions on a flat surface with two constants: the stick-slip length and the renormalization of viscosity near the boundary. The stick-slip length and the renormalization coefficient are expressed explicitly via the correlation function of random surface inhomogeneities. The effective stick-slip length is always negative signifying the effective slow-down of the hydrodynamic flows by the rough surface (stick rather than slip motion). A simple hydrodynamic model is presented as an illustration of these general hydrodynamic results. The effective boundary parameters are analyzed numerically for Gaussian, power-law and exponentially decaying correlators with various indices. The maximum on the frequency dependence of the dissipation allows one to extract the correlation radius (characteristic size) of the surface inhomogeneities directly from, for example, experiments with torsional quartz oscillators.

Affiliated with

Also associated with

No associations

Rating

Surface Roughness and Effective Stick-Slip Motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Surface Roughness and Effective Stick-Slip Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surface Roughness and Effective Stick-Slip Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-653094