Analytical and numerical results on the attenuation and dispersion of an acoustic wave through a two-phase flow

Presents validation of the Eulerian approach for unsteady two-phase flows, whose behaviour depends on the coupling between the two phases, on the basis of the study of attentuation and dispersion of an acoustic wave propagating into a one dimensional two-phase flow. This approach and the corresponding numerical aspects are accurate enough for later applications in more complex geometries, where "vortex shedding" phenomena take place. Attenuation and dispersion of a pressure wave in a two-phase medium of rest was previously studied by Temkin and Dobbins. Present work is an extension of this theory to the case of a two-phase flow. This theoretical approach leads to a numerical solution of the problem. Compares the derived results with those obtained from a direct numerical simulation based on MacCormack scheme in a finite volume formulation. Verifies that analytical and numerical approaches are in good agreement.