Universality in statistics of Stokes flow over a no-slip wall with random roughness

@article{Parfenyev2019UniversalityIS,
  title={Universality in statistics of Stokes flow over a no-slip wall with random roughness},
  author={Vladimir M. Parfenyev and Sergey Belan and Vladimir V. Lebedev},
  journal={Journal of Fluid Mechanics},
  year={2019},
  volume={862},
  pages={1084 - 1104}
}
Stochastic roughness is a widespread feature of natural surfaces and is an inherent byproduct of most fabrication techniques. In view of the rapid development of microfluidics, the important question is how this inevitable problem affects the low-Reynolds-number flows that are common for micro-devices. Moreover, one could potentially turn the flaw into a virtue and control the flow properties by means of specially ‘tuned’ random roughness. In this paper we investigate theoretically the… 
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References

SHOWING 1-10 OF 49 REFERENCES

Roughness induced boundary slip in microchannel flows.

It is found that the apparent slip is independent of the detailed boundary shape, but only given by the distribution of surface heights, and it is shown that slip diverges as the amplitude of the roughness increases which highlights the importance of a proper treatment of surface variations in very confined geometries.

On Stokes flow of a Newtonian fluid through a pipe with stationary random surface roughness

The problems of Stokes’ flow through corrugated pipes are considered. The corrugations are of small amplitude e and are modeled by stationary random noises. A perturbation solution [up to O(e2)] is

Effect of random surface topography on the gaseous flow in microtubes with an extended slip model

The gas slip flow in microtubes is studied incorporating the effect of three-dimensional (3D) random surface topography as characterized by the fractal geometry. The modified two-variable

Role of surface roughness characterized by fractal geometry on laminar flow in microchannels.

A three-dimensional model of laminar flow in microchannels is numerically analyzed incorporating surface roughness effects as characterized by fractal geometry. The Weierstrass-Mandelbrot function is

Influence of Ribbon Structure Rough Wall on the Microscale Poiseuille Flow

The regular perturbation method is introduced to investigate the influence of two-dimensional roughness on laminar flow in microchannels between two parallel plates. By superimposing a series of

Nanoscale surface roughness affects low Reynolds number flow: Experiments and modeling

Most micro-channel fabrication strategies generate nano-to-micro-scale, stochastic surface roughness. This inherent stochasticity can potentially be harnessed to direct microfluidic operations such

Poiseuille flow in a pipe with axially symmetric wavy walls

The effect of small amplitude wall waviness on the steady flow in a pipe is studied. Friction factors, Reynolds stresses, and mean velocity profiles are obtained for various Reynolds numbers, wall

Wetting, roughness and flow boundary conditions.

It is seen that hydrophobic slippage can be dramatically affected by the presence of roughness, and refined methods for setting very well controlled micro- or nanotextures on a solid are being exploited to induce novel hydrodynamic properties, such as giant interfacial slip, superfluidity, mixing and low hydrod dynamic drag.

Experimental analysis of the surface roughness evolution of etched glass for micro/nanofluidic devices

Roughness of channel surfaces, both deterministic and random, is known to affect the fluid flow behavior in micro/nanoscale fluidic devices. This has relevance particularly for applications involving