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

Journal of Fluid Mechanics. 2019. Vol. 862. P. 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 statistics of fluctuations in fluid velocity produced by the waviness irregularities at the surface of a no-slip wall. Particular emphasis is laid on the issue of the universality of our findings.

Keywords: шероховатые поверхностигидродинамикаhydrodynamicsтечение в трубеLaminar flowssurface roughness

Publication based on the results of:

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Nagaev K., Маношин А. А., Physical Review B: Condensed Matter and Materials Physics 2020 Vol. 102 Article 155411

We calculate the electrical and thermal conductivity of a two-dimensional electron gas with strong spin-orbit
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Kuzmichev S. A., Kuzmicheva T. E., Tchesnokov S. et al., Journal of Superconductivity and Novel Magnetism 2016 Vol. 29 No. 4 P. 1111-1116

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M.: Faculty of Physics, MSU, 2017

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Morozov I., Norman G., Insepov Z. et al., Physical Review Special Topics - Accelerators and Beams 2012 Vol. 15 P. 053501

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