Innovation science and technologiy 1-том 12-нөмір (2025)
PROPAGATION OF SMALL MOTIONS IN A TWO-LAYER DISPERSE MEDIA FLOW
D. S. Yakhshibaev
Аңдатпа
In this article, the propagation of small perturbations occurring in the flow of a two-layer dispersed mediumis studied. Two-layer dispersed flows are common in many natural and technological processes, including oil and gaspipelines, chemical reactors, and biological environments. The appearance and development of small shocks in suchsystems seriously affects the stability of the flow. In the study, a mathematical model was built around the main flow stateusing the small parameters method and the differential equations were linearized. Differences in density, velocity, andconcentration of dispersed phases between the layers were analyzed in terms of their influence on the propagation speedand stability of the excitations. Dispersion relations were obtained and laws of development of movements in time andspace were studied. The obtained results show that excitations may be suppressed in some parameter values, while inother cases they may increase. The results of the research are of practical importance in modeling two-layer dispersedflows and evaluating their stability.
hydrodynamics, pressure pulse, dispersed mixture, Laplace's equation, velocity equation, velocity potential
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