title: A model for sound absorption by spheroidal particles.
abstract: This paper describes a mathematical model for the scattering of acoustic waves in dispersions of prolate or oblate non-spherical particles. Based on fundamental equations of change for mass, momentum, and energy, wave equations are derived and solved in spheroidal coordinates. The examination of the boundary-value problem of an aligned spheroidal particle in a continuous medium, excited by a plane wave, leads to a description of the viscoinertial, thermal, and diffractive phenomena. The model is analogous to the Epstein-Carhart-Allegra-Hawley theory for spherical particles, and suggests itself for studying non-sphericity in the acoustic analysis of industrial dispersions.
authors.affiliation: Dow Chemical, 8810 Horgen, Switzerland.
authors.forename: Alexander K
authors.initials: AK
authors.lastname: Hipp
mesh_terms: D000042:Absorption; D000162:Acoustics; D000465:Algorithms; D008962:Models, Theoretical; D013314:Stress, Mechanical; D013696:Temperature