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On contact instabilities of viscoplastic fluids in two-dimensional setting


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Abstract

The Richtmyer–Meshkov and Rayleigh–Taylor instabilities in viscoplastic (Bingham) fluids are studied in two-dimensional setting. The evolution of the Richtmyer–Meshkov instability in a Bingham fluid is analyzed as compared with its evolution in a Newtonian fluid. The critical amplitude of the initial perturbation in the velocity field is estimated. Numerical results obtained for Richtmyer–Meshkov and Rayleigh–Taylor instabilities in a Bingham fluid are presented and compared with those obtained for a Newtonian fluid.

About the authors

A. N. Doludenko

Institute of Thermophysical Extremal States, Joint Institute of High Temperatures

Author for correspondence.
Email: adoludenko@gmail.com
Russian Federation, Moscow, 125412

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