Acoustic radiation force on a compressible cylinder in a standing wave

The radiation force-per-length on an infinitely long circular cylinder in an acoustic plane standing wave is expressed in terms of partial-wave scattering coefficients for the corresponding traveling wave scattering problem. This information allows a dimensionless radiation force function to be expressed using coefficients available from two-dimensional scattering theory. Four examples are given for fluid circular cylinders: A hot gas column (used to approximate a small flame), a compressible liquid bridge in a Plateau tank, a liquid bridge in air, and a cylindrical bubble of air in water. A long-wavelength approximation for the force is also examined which is analogous to one for the radiation force on compressible spheres [K. Yosioka and Y. Kawasima, Acustica 5, 167–173 (1955)]. A long-wavelength approximation is also known for the monopole and dipole scattering coefficients of a compressible elliptical cylinder and the radiation force is also examined for that situation. Some of the results for the radiation force are relevant to the acoustic stabilization of liquid cylindrical bridges in reduced gravity.