Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves
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 inmore »
- Authors:
- Chevron, Area 52 Technology–ETC, Santa Fe, New Mexico 87508 (United States)
- Publication Date:
- OSTI Identifier:
- 22493004
- Resource Type:
- Journal Article
- Journal Name:
- Journal of Applied Physics
- Additional Journal Information:
- Journal Volume: 118; Journal Issue: 21; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 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
Citation Formats
Mitri, F. G., E-mail: F.G.Mitri@ieee.org. Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves. United States: N. p., 2015.
Web. doi:10.1063/1.4936617.
Mitri, F. G., E-mail: F.G.Mitri@ieee.org. Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves. United States. https://doi.org/10.1063/1.4936617
Mitri, F. G., E-mail: F.G.Mitri@ieee.org. 2015.
"Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves". United States. https://doi.org/10.1063/1.4936617.
@article{osti_22493004,
title = {Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves},
author = {Mitri, F. G., E-mail: F.G.Mitri@ieee.org},
abstractNote = {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.},
doi = {10.1063/1.4936617},
url = {https://www.osti.gov/biblio/22493004},
journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 21,
volume = 118,
place = {United States},
year = {Mon Dec 07 00:00:00 EST 2015},
month = {Mon Dec 07 00:00:00 EST 2015}
}