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Chin. Phys. B, 2021, Vol. 30(2): 024302    DOI: 10.1088/1674-1056/abbbd9

Radiation force and torque on a two-dimensional circular cross-section of a non-viscous eccentric layered compressible cylinder in acoustical standing waves

F G Mitri†
Santa Fe, NM\/ 87508, USA
Abstract  The purpose of this study is to develop an analytical formalism and derive series expansions for the time-averaged force and torque exerted on a compound coated compressible liquid-like cylinder, insonified by acoustic standing waves having an arbitrary angle of incidence in the polar (transverse) plane. The host medium of wave propagation and the eccentric liquid-like cylinder are non-viscous. Numerical computations illustrate the theoretical analysis with particular emphases on the eccentricity of the cylinder, the angle of incidence and the dimensionless size parameters of the inner and coating cylindrical fluid materials. The method to derive the acoustical scattering, and radiation force and torque components conjointly uses modal matching with the addition theorem, which adequately account for the multiple wave interaction effects between the layer and core fluid materials. The results demonstrate that longitudinal and lateral radiation force components arise. Moreover, an axial radiation torque component is quantified and computed for the non-absorptive compound cylinder, arising from geometrical asymmetry considerations as the eccentricity increases. The computational results reveal the emergence of neutral, positive, and negative radiation force and torque depending on the size parameter of the cylinder, the eccentricity, and the angle of incidence of the insonifying field. Moreover, based on the law of energy conservation applied to scattering, numerical verification is accomplished by computing the extinction/scattering energy efficiency. The results may find some related applications in fluid dynamics, particle trapping, mixing and manipulation using acoustical standing waves.
Keywords:  radiation force      radiation torque      liquid compound cylinder      multiple scattering      acoustical standing waves  
Published:  26 January 2021
PACS:  43.25.Qp (Radiation pressure?)  
  43.25.+y (Nonlinear acoustics)  
  43.20.+g (General linear acoustics)  
  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  
Corresponding Authors:  Corresponding author. E-mail:   

Cite this article: 

F G Mitri Radiation force and torque on a two-dimensional circular cross-section of a non-viscous eccentric layered compressible cylinder in acoustical standing waves 2021 Chin. Phys. B 30 024302

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