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

  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},
  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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