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22 January 2020
Three to Ten: Why Families Choose to Have More Children, More Often
More than 500 large families in three Russian federal districts were surveyed to explore reasons why couples choose to have many children. Five main patterns were identified, driven by values (partner trust and religious beliefs), socioeconomic circumstances (income and education), and availability of support from extended family and friends.
20 January 2020
‘Reading’ with Aphasia Is Easier than ‘Running’
Neurolinguists from HSE University have confirmed experimentally that for people with aphasia, it is easier to retrieve verbs describing situations with several participants (such as ‘someone is doing something’), although such verbs give rise to more grammar difficulties. The results of the study have been published in Aphasiology.
20 January 2020
Young HSE University Researchers Win Moscow Government Award
This prize is annually awarded to doctoral students, researchers and professionals from Moscow-based institutions, as well as people with Candidate or Doctor of Sciences degrees. Researchers from HSE University won competition for the third year in a row and will be recognized at ceremony slated to take place on February 7 at the Kremlin Palace.

Book chapter

Multideck structures of boundary layers in compressible flows

P. 1-6.
Gaydukov R., Danilov V.
In press

Equations describing the double- and triple-deck structure are demonstrated for the case of compressible flows along a small perturbed plate for large Reynolds numbers. Numerical and analytical investigations of the influence of the upstream flow on the behavior of the flow in the near-wall region are presented.

Language: English
Keywords: Double-deck structureTriple-deck structureasymptoticcompressible flowboundary layer theory
Publication based on the results of: Mathematical Modeling of Resonance Systems(2019)

In book

Proceedings of the International Conference DAYS on DIFFRACTION 2019
IEEE, 2019.
Similar publications
Асимптотики решений задач обтекания несжимаемой жидкостью поверхностей c малыми неровностями при больших числах Рейнольдса
Гайдуков Р. К., Данилов В. Г. Наноструктуры. Математическая физика и моделирование. 2016. Т. 15. № 1. С. 5-102.

We study the existence conditions for a double-deck structure of a boundary layer in typical problems of incompressible fluid flow along surfaces with small irregularities (periodic or localized) for large Reynolds number. We obtain characteristic scales (a power of a small parameter included in a solution) which lead to the double-deck structure, and we obtain a formal asymptotic solution of a problem of a flow inside an axially-symmetric pipe and a two-dimensional channel with small periodic irregularities on the wall. We prove that a quasistationary solution of a Rayleigh-type equation (which describes the flow oscillation on the “upper deck” of the boundary layer with the double-deck structure, i.e. in the classical Prandtl boundary layer) exists and is stable. We obtain a formal asymptotic solution with the double-deck structure for the problem of fluid flow along a plate with small localized irregularities such as hump, step or small angle. We construct a numerical solution algorithm for all equations which we obtained and we show the results of their applications.

Added: Sep 27, 2016
Double-deck structures of boundary layers in flows
Gaidukov R.K., Danilov V.G. In bk.: Abstracts: Russian-French Workshop “Mathematical Hydrodynamics”, August 22–27, 2016. Novosibirsk: 2016. P. 20-22.

We consider a non-stationary problem of an incompressible viscous fluid flow along surfaces with small irregularities for large Reynolds number, which have a formal asymptotic solution with a double-deck structure of the boundary layer.

Added: Sep 28, 2016
Vortices in the Prandtl boundary layer induced by irregularities on a plate
Danilov V., Gaydukov R. Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 2. P. 161-173.

A fluid flow along a plate with small irregularities on the surface is considered for large Reynolds numbers. The boundary layer has a double-deck structure, i.e., both a thin boundary layer and the classical Prandtl boundary layer are present. It is proved that the solution of the boundary-value problem thus obtained exists and is unique in the Prandtl boundary layer, and the stability of the solution is investigated at large times. The results of numerical modeling are given. Supported by the Basic Research Program of the National Research University “Higher School of Economics.” © 2015, Pleiades Publishing, Ltd.

 

Added: Sep 3, 2015
Equations for velocity oscillations in problems of a fluid flow along a plate with small periodic irregularities on the surface for large Reynolds numbers
Gaydukov R., Danilov V. In bk.: Proceedings of the International Conference DAYS on DIFFRACTION 2018. IEEE, 2018. P. 118-123.

Depending on the scales of periodic irregularities in the problem under study, a solution arises which describes two (“double-deck”) or three (“triple-deck”) boundary layers on the plate. Mainly, we study the equations describing the velocity oscillations in the boundary layers arising because of periodic irregularities and show their command nature.

Added: Sep 18, 2018