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On the Calculation of Radiation Force on Spheres Due to Arbitrary Spatially Distributed Acoustic Beams

[+] Author Affiliations
Glauber T. Silva

Universidade Federal de Alagoas, Maceió, AL, Brazil

Mostafa Fatemi

Mayo Clinic College of Medicine, Rochester, MN

Paper No. DETC2005-85660, pp. 2621-2626; 6 pages
doi:10.1115/DETC2005-85660
From:
  • ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C
  • Long Beach, California, USA, September 24–28, 2005
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4738-1 | eISBN: 0-7918-3766-1
  • Copyright © 2005 by ASME

abstract

This work presents a theory for the acoustic radiation force exerted on a solid sphere by an arbitrary spatially distributed beam. The theory is developed for an sphere suspended in an ideal fluid. We assume that the acoustic beam can be decomposed in a set of plane waves with same frequency, propagating in different directions. The sphere radius is considered to be much smaller than the wavelength of the beam. Bulk properties of the sphere such as shear and compressional sound speed are taken into account. The radiation force is obtained by solving the linear acoustic scattering problem for the sphere. Theoretically, the radiation force depends on the sphere cross section area, the radiation force function, and the vector energy flux upon the sphere. The radiation force function is related to the sphere scattering properties. We apply the developed theory to study the radiation force produced by an spherical concave transducer. The generated radiation force can be decomposed into two components, namely, axial and transverse with respect to the wave propagation direction. The ratio between the transverse and axial components of the force depends on the transducer F-number and wave frequency. Results show that this ratio for a 2 MHz transducer with 3.5 F-number on the focal plane is less than 5%.

Copyright © 2005 by ASME

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