Acoustic radiation force on a rigid elliptical cylinder in plane (quasi)standing waves
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 »
- Publication Date:
- OSTI Identifier:
- 22493004
- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Journal of Applied Physics; Journal Volume: 118; Journal Issue: 21; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
- 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