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

Nuriev, A. N.; Егоров, А. Г.; Kamalutdinov, A. M.

doi:10.1017/jfm.2020.1180

Cited by 10 publications

(8 citation statements)

References 56 publications

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“…A numerical solution was constructed for the full problem (2.3)-(2.7) using the finite volume method. For this purpose, the numerical scheme developed in Nuriev, Kamalutdinov & Egorov (2019); Nuriev et al (2021) was used. The details of the simulations are described in Appendix D.…”

Section: The Limits Of Applicability Of the Asymptotic Theorymentioning

confidence: 99%

“…For the numerical solution of the problem of translational-rotational oscillations of a cylindrical wing in a fluid, in this study, the model proposed in the works Nuriev, Egorov & Zaitseva (2018); Nuriev et al (2019Nuriev et al ( , 2021 was adapted. The plane flow around a cylindrical wing was described by the complete non-stationary system of Navier-Stokes equations.…”

Section: Appendix a Solution Of The Secondary Flow Problemmentioning

confidence: 99%

“…In this study, we develop a different approach based on the method of asymptotic expansions of the solution of the complete system of Navier-Stokes equations in the small parameter (e.g. Schlichting 1932;Holtsmark et al 1954;Riley 1967Riley , 1975Wang 1968;Riley & Watson 1993;Nuriev, Egorov & Kamalutdinov 2021), which is used to solve the problem of rotational-translational oscillations of a cylinder in a flow. As a small parameter, the ratio of the amplitude A of transverse oscillations to the radius a of the cylinder, γ = A/a, is taken.…”

Section: Introductionmentioning

confidence: 99%

“…For the case of low-amplitude transverse harmonic oscillations of a circular cylinder (e.g. Holtsmark et al 1954;Egorov & Nuriev 2021), such flows are symmetric, decay at infinity and do not cause steady hydrodynamic forces (thrust or lift).…”

Section: Introductionmentioning

confidence: 99%

“…Schlichting 1932; Holtsmark et al. 1954; Riley 1967, 1975; Wang 1968; Riley & Watson 1993; Nuriev & Egorov 2019; Nuriev, Egorov & Kamalutdinov 2021), which is used to solve the problem of rotational–translational oscillations of a cylinder in a flow. As a small parameter, the ratio of the amplitude of transverse oscillations to the radius of the cylinder, , is taken.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic theory of a flapping wing of a circular cross-section

Nuriev

Егоров

2022

J. Fluid Mech.

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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 $Re \sim 10^2\text {--}10^3$ .

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Section: The Limits Of Applicability Of the Asymptotic Theorymentioning

confidence: 99%

Section: Appendix a Solution Of The Secondary Flow Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic theory of a flapping wing of a circular cross-section

Nuriev

Егоров

2022

J. Fluid Mech.

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Asymptotic Modeling of Viscous Fluid Flows Near Oscillating Cylindrical Bodies

Nuriev,

Zaitseva,

Bogdanovich

et al. 2024

Springer Proceedings in Physics

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Buoyancy oscillations

Voisin

2024

J. Fluid Mech.

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The oscillations of buoyant bodies in stratified fluids are deduced from the variations of their added mass. Three configurations are considered: a body displaced from its neutral level then released; a Cartesian diver set into oscillation by a modulation of the hydrostatic pressure, then released; and a body attached to a pendulum to which an impulse is applied. The first configuration is related to the dynamics of Lagrangian floats in the ocean. Two particular bodies are considered: an elliptic cylinder of horizontal axis, typical of two-dimensional bodies; and a spheroid of vertical axis, typical of three-dimensional bodies. The ultimate motion of the body consists of oscillations at the buoyancy frequency with an amplitude decaying algebraically with time. Before that, the resonant response of the system is observed, either aperiodic exponential decay when the system has no intrinsic dynamics, or exponentially damped oscillation otherwise. Comparison with available measurements demonstrates the need to include viscous dissipation in the analysis. At high Stokes number, dissipation comes from the Basset–Boussinesq memory force and is affected negligibly by the stratification; at low Stokes number, dissipation comes from Stokes resistance and exhibits a significant effect of the stratification.

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

Abstract: Abstract

Cited by 10 publications

References 56 publications

Asymptotic theory of a flapping wing of a circular cross-section

Asymptotic theory of a flapping wing of a circular cross-section

Asymptotic Modeling of Viscous Fluid Flows Near Oscillating Cylindrical Bodies

Buoyancy oscillations

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