Theoretical and experimental determination of the acoustic radiation force acting on an elastic cylinder in a plane progressive wave—far-field derivation approach

Abstract

In this study, a new analytical expression of the radiation force function—which is the radiation force per unit energy density and unit cross sectional surface—for an elastic cylinder immersed in water and placed in a plane progressive acoustic wave is presented. The calculation is based on the far-field derivation approach. Furthermore, two solutions for the radiation force function are compared. The first is based on the far-field derivation and the second on the near-field. It is shown that for an ideal fluid both results are commensurate with the same result. Moreover, an experiment is conducted to verify the theoretical predictions for an elastic cylinder as well. The experimental results confirm the theory for elastic cylinders but show a quite different deviation from the rigid solution. These results are the first to confirm the theory for the radiation force on an elastic cylinder placed in a plane progressive wave-field.