Effective wave numbers for thermo-viscoelastic media containing random configurations of spherical scatterers
Francine Luppé1, Jean-Marc Conoir, Andrew N Norris
1Laboratoire Ondes et Milieux Complexes, UMR CNRS 6294, Groupe Ondes Acoustiques, Université du Havre, place R. Schuman, 76610 Le Havre, France. francine.luppe@univ-lehavre.fr
Abstract:
The dispersion relation is derived for the coherent waves in fluid or elastic media supporting viscous and thermal effects and containing randomly distributed spherical scatterers. The formula obtained is the generalization of Lloyd and Berry's [Proc. Phys. Soc. London 91, 678-688 (1967)], the latter being limited to fluid host media, and it is the three-dimensional counterpart of that derived by Conoir and Norris [Wave Motion 47, 183-197 (2010)] for cylindrical scatterers in an elastic host medium.
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