KFU. Card publication. Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid

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HYDRODYNAMIC FORCES ACTING ON THE ELLIPTIC CYLINDER PERFORMING HIGH-FREQUENCY LOW-AMPLITUDE MULTI-HARMONIC OSCILLATIONS IN A VISCOUS FLUID

Form of presentation

Articles in international journals and collections

Year of publication

2021

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Authors, employees of KFU

Egorov Andrey Gennadevich, author

Kamalutdinov Ayrat Marsovich, author

Nuriev Artem Nailevich, author

Bibliographic description in the original language

Nuriev A.N, Egorov A.G, Kamalutdinov A.M., Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid//Journal of Fluid Mechanics. - 2021. - Vol.913, Is.. - Art. � A40.

Annotation

The paper is devoted to the study of the periodic rectilinear motion of an elliptic cylinder at an arbitrary angle of attack in a viscous incompressible fluid according to an arbitrary multi-harmonic law. The study develops the classical method of inner and outer asymptotic expansions of a solution in a small parameter, which is taken as the ratio of the thickness of the Stokes boundary layer to the semi-major axis of the elliptic cylinder. Another parameter of the problem, which is the Reynolds number calculated based on the thickness of the boundary layer, is considered to be of the order of unity. The selected range of values of parameters describes the low-amplitude high-frequency oscillations of the cylinder in a fluid. The asymptotic solution of the problem built in the study allows us to determine the first three terms of the expansion of the hydrodynamic force acting on the cylinder. For the detailed analysis of the obtained solution, several cases of the periodic motion of cylinders with different axis ratios for different oscillation parameters according to harmonic and multi-harmonic laws were considered. In these cases, the asymptotic dependencies of the hydrodynamic forces were compared with the data of direct numerical simulations and with known results of previous asymptotic and experimental research. The results of the analysis allow us to establish the limits of applicability of the asymptotic theory and to determine the structural changes of the hydrodynamic forces when transition to the zone of moderate oscillation amplitudes occurs.

Keywords

Flow?structure interactions, Navier?Stokes equations, Separated flows

The name of the journal

Journal of Fluid Mechanics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102001554&doi=10.1017%2fjfm.2020.1180&partnerID=40&md5=eca9d3e9c1a29ca2c3199eb5138e3c11

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=250865&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Egorov Andrey Gennadevich	ru_RU
dc.contributor.author	Kamalutdinov Ayrat Marsovich	ru_RU
dc.contributor.author	Nuriev Artem Nailevich	ru_RU
dc.date.accessioned	2021-01-01T00:00:00Z	ru_RU
dc.date.available	2021-01-01T00:00:00Z	ru_RU
dc.date.issued	2021	ru_RU
dc.identifier.citation	Nuriev A.N, Egorov A.G, Kamalutdinov A.M., Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid//Journal of Fluid Mechanics. - 2021. - Vol.913, Is.. - Art. � A40.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=250865&p_lang=2	ru_RU
dc.description.abstract	Journal of Fluid Mechanics	ru_RU
dc.description.abstract	The paper is devoted to the study of the periodic rectilinear motion of an elliptic cylinder at an arbitrary angle of attack in a viscous incompressible fluid according to an arbitrary multi-harmonic law. The study develops the classical method of inner and outer asymptotic expansions of a solution in a small parameter, which is taken as the ratio of the thickness of the Stokes boundary layer to the semi-major axis of the elliptic cylinder. Another parameter of the problem, which is the Reynolds number calculated based on the thickness of the boundary layer, is considered to be of the order of unity. The selected range of values of parameters describes the low-amplitude high-frequency oscillations of the cylinder in a fluid. The asymptotic solution of the problem built in the study allows us to determine the first three terms of the expansion of the hydrodynamic force acting on the cylinder. For the detailed analysis of the obtained solution, several cases of the periodic motion of cylinders with different axis ratios for different oscillation parameters according to harmonic and multi-harmonic laws were considered. In these cases, the asymptotic dependencies of the hydrodynamic forces were compared with the data of direct numerical simulations and with known results of previous asymptotic and experimental research. The results of the analysis allow us to establish the limits of applicability of the asymptotic theory and to determine the structural changes of the hydrodynamic forces when transition to the zone of moderate oscillation amplitudes occurs.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Flow?structure interactions	ru_RU
dc.subject	Navier?Stokes equations	ru_RU
dc.subject	Separated flows	ru_RU
dc.title	Hydrodynamic forces acting on the elliptic cylinder performing high-frequency low-amplitude multi-harmonic oscillations in a viscous fluid	ru_RU
dc.type	Articles in international journals and collections	ru_RU