Generation of the vorticity mode by sound in a Bingham plastic

Abstract

Abstract:This study investigates interaction between acoustic and non-acoustic modes, such as vorticity mode, in some class of a non-newtonian fluid called Bingham plastic. The instantaneous equations describing interaction between different modes are derived. The attention is paid to the nonlinear effects in the field of intense sound. The resulting equations which describe dynamics of both sound and the vorticity mode apply to both periodic and aperiodic sound of any waveform. They use only instantaneous quantities and do not imply averaging over the sound period. The theory is illustrated by an example of acoustic force of vorticity induced in the field of a Gaussian sound beam. Some unusual peculiarities in both sound and the vorticity induced in its field as compared to a newtonian fluid, are discovered. PACS

Generation of the vorticity mode by sound in a vibrationally relaxing gas

“…It may be readily applied in studies of flows over nonNewtonian fluids, like Bingham plastics [7]. The method makes it possible to distribute the nonlinear terms between dynamic equations of different modes correctly.…”