Abstract

The wave propagation of viscoelastic suspensions in tubes is theoretically investigated, taking account of the deformation of the tube walls and the dispersity of the medium within the framework of the rheological model of a viscoelastic liquid with internal oscillators. A wave equation is obtained, and its limiting cases are analyzed. The dispersional relation is investigated with characteristic values of the rheological parameters of the medium. A numerical experiment is undertaken to investigate the influence of the rheology of the medium on the structure and dynamics of wave perturbation of velocity perturbations.

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