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Author Mitri, F. G.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ ASPECT RATIO ♦ BOUNDARY CONDITIONS ♦ COMPUTERIZED SIMULATION ♦ CYLINDRICAL CONFIGURATION ♦ EQUATIONS ♦ FLUIDIC DEVICES ♦ LIQUIDS ♦ PARTIAL WAVES ♦ PARTICLES ♦ SCATTERING ♦ SERIES EXPANSION ♦ SOUND WAVES ♦ STABILIZATION ♦ STANDING WAVES ♦ SURFACES ♦ WAVE PROPAGATION ♦ WAVELENGTHS
Abstract The acoustic radiation force on a 2D elliptical (non-circular) cylinder centered on the axis of wave propagation of plane quasi-standing and standing waves is derived, based on the partial-wave series expansion (PWSE) method in cylindrical coordinates. A non-dimensional acoustic radiation force function, which is the radiation force per unit length, per characteristic energy density and per unit cross-sectional surface of the ellipse, is defined in terms of the scattering coefficients that are determined by applying the Neumann boundary condition for an immovable surface. A system of linear equations involving a single numerical integration procedure is solved by matrix inversion. Numerical simulations showing the transition from the quasi-standing to the (equi-amplitude) standing wave behaviour are performed with particular emphasis on the aspect ratio a/b, where a and b are the ellipse semi-axes, as well as the dimensionless size parameter kb (where k is the wavenumber), without the restriction to a particular range of frequencies. It is found that at high kb values > 1, the radiation force per length with broadside incidence is larger, whereas the opposite situation occurs in the long-wavelength limit (i.e., kb < 1). The results are particularly relevant in acoustic levitation of elliptical cylinders, the acoustic stabilization of liquid columns in a host medium, acousto-fluidics devices, and other particle dynamics applications to name a few. Moreover, the formalism presented here may be effectively applied to compute the acoustic radiation force on other 2D surfaces of arbitrary shape such as super-ellipses, Chebyshev cylindrical particles, or other non-circular geometries.
ISSN 00218979
Educational Use Research
Learning Resource Type Article
Publisher Date 2015-12-07
Publisher Place United States
Journal Journal of Applied Physics
Volume Number 118
Issue Number 21


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