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The International Conference on Multiphase Systems, ICMS'2000
Ufa, RUSSIA, June 15-17, 2000

Bjerknes Forces in Compressible Fluids

Doinikov A. A.

Institute of Nuclear Problems, Byelorussian State University, Minsk, BELARUS

This paper deals with the time-averaged radiation force induced by an acoustic field between compressible particles (bubbles, drops, or both) freely suspended in a fluid. It presents an analytical expression for the force, assuming the host fluid and the internal medium of the particles to be ideal compressible fluids, allowing for multiple re-scattering of sound between the particles and their shape modes, and imposing no restrictions on the number of the particles, their size, separation distances between them, etc. The obtained results substantially improve the existing theory of secondary Bjerknes forces. In particular, they enable one for the first time to follow continuously the evolution of the radiation interaction force between two particles from large to small separations for any angles of sound incidence.