Generalized continuum methodologies in acoustics: Selected case studies

Three problems from acoustics theory are considered using both analytical and numerical methods. Each problem involves the use of a particular generalized continuum (GC) formulation. In the first, mechanical and thermal plane waves in gases wherein the specific internal energy is described by the modified internal energy model are analyzed; in the second, vertically-propagating acceleration waves in a dusty, constant lapse rate, atmosphere are investigated using the Laplace transform; and, in the third, dispersed shocks in gases wherein viscous stresses are described by the Stokesian fluid relation are examined under the traveling wave assumption. The presentation concludes with a listing of possible follow-on studies involving GC-based model systems.