KFU. Card publication. Asymptotic theory of a flapping wing of a circular cross-section

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FEDERAL UNIVERSITY

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ASYMPTOTIC THEORY OF A FLAPPING WING OF A CIRCULAR CROSS-SECTION

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Egorov Andrey Gennadevich, author

Nuriev Artem Nailevich, author

Bibliographic description in the original language

Nuriev A.N, Egorov A.G., Asymptotic theory of a flapping wing of a circular cross-section//Journal of Fluid Mechanics. - 2022. - Vol.941, Is.. - Art. №A23.

Annotation

The paper is devoted to the study of the propulsive motion of a flapping wing of a circular cross-section performing translational–rotational oscillations in a viscous incompressible fluid. To describe the flow past the wing, the unsteady Navier–Stokes equation is solved. Using the method of asymptotic expansions for the case of small amplitudes of oscillations, an analytical solution of the problem is constructed in the first two terms. It is shown that the nonlinear interaction of time harmonics of translational and rotational oscillations causes secondary flows (steady streaming) that make the wing move in the direction perpendicular to the axis of translational oscillations. For the case of cruising motion, when the average hydrodynamic force acting on the wing is equal to zero, the dependence of the average speed on the dimensionless oscillation parameters is found. The results show that for relatively large angles of rotation the cruising speed of a flapping wing can be as high as the velocity amplitude of translational oscillations. The limits of applicability of the asymptotic theory are investigated using direct numerical simulations. Numerical data demonstrate that the theory well describes the flow past the wing in a wide range of dimensionless amplitudes, frequencies and angles of rotation. In conclusion, the efficiency of the propulsion system is evaluated. It is shown that in terms of relative energy consumption, a cylindrical flapping wing can be attributed to the most efficient propulsors in the range of Reynolds numbers Re ∼ 10^2 –10^3.

Keywords

flow-structure interactions, propulsion, swimming/flying, Navier?Stokes equations

The name of the journal

Journal of Fluid Mechanics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85129720942&doi=10.1017%2fjfm.2022.287&partnerID=40&md5=37d1d6be7cb4282edc3ebd423c1c7566

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

https://repository.kpfu.ru/eng/?p_id=266803&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Egorov Andrey Gennadevich	ru_RU
dc.contributor.author	Nuriev Artem Nailevich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Nuriev A.N, Egorov A.G., Asymptotic theory of a flapping wing of a circular cross-section//Journal of Fluid Mechanics. - 2022. - Vol.941, Is.. - Art. №A23.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=266803&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 propulsive motion of a flapping wing of a circular cross-section performing translational–rotational oscillations in a viscous incompressible fluid. To describe the flow past the wing, the unsteady Navier–Stokes equation is solved. Using the method of asymptotic expansions for the case of small amplitudes of oscillations, an analytical solution of the problem is constructed in the first two terms. It is shown that the nonlinear interaction of time harmonics of translational and rotational oscillations causes secondary flows (steady streaming) that make the wing move in the direction perpendicular to the axis of translational oscillations. For the case of cruising motion, when the average hydrodynamic force acting on the wing is equal to zero, the dependence of the average speed on the dimensionless oscillation parameters is found. The results show that for relatively large angles of rotation the cruising speed of a flapping wing can be as high as the velocity amplitude of translational oscillations. The limits of applicability of the asymptotic theory are investigated using direct numerical simulations. Numerical data demonstrate that the theory well describes the flow past the wing in a wide range of dimensionless amplitudes, frequencies and angles of rotation. In conclusion, the efficiency of the propulsion system is evaluated. It is shown that in terms of relative energy consumption, a cylindrical flapping wing can be attributed to the most efficient propulsors in the range of Reynolds numbers Re ∼ 10^2 –10^3.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	flow-structure interactions	ru_RU
dc.subject	propulsion	ru_RU
dc.subject	swimming/flying	ru_RU
dc.subject	Navier?Stokes equations	ru_RU
dc.title	Asymptotic theory of a flapping wing of a circular cross-section	ru_RU
dc.type	Articles in international journals and collections	ru_RU