The study is concerned with the development of the hydrodynamic-stability theory for disperse flows. The influence of several new factors on the linear stability of various two-phase plane shear flows is examined. The factors considered include particle concentration non-uniformities and a particle velocity slip in the main flow, non-Stokesian components of the interphase force, and a finite volume fraction of the inclusions. It is shown that taking into account the new factors significantly changes the stability limits of disperse flows. A new non-modal approach for the stability analysis is also developed. A pioneering method of studying the algebraic instability and finding «optimal disturbances» of disperse flows is proposed. It is obtained that the energy of the optimal disturbances of a plane-channel flow of a dilute disperse mixture is significantly greater than that of the pure-fluid flow.
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