At the Institute seminar, the head of “Applied Mathematics” department prof. Gabil Aliyev gave a talk on “Theory of hydromechanics with taking into account quantum-mechanical effects in small-size systems”.
Taking into account quantum-mechanical effects in small-size systems, the influence existing in the boundary of “solid-liquid” contact, theory of hydromechanics was created. The reason of transformation of homogeneous liquid into inhomogeneous liquid in small-size systems was determined. It was proved that the reason of transformation of homogeneous liquid into nonhomogeneous liquid depends on influence stress of physical field interior of liquid. Physico-mathematical model of dependence of mechanical properties (density and viscosity) of liquid in small systems on stress of physical field, was offered. Taking into account quantum-mechanical effects, determining hydromechanical equations for ideal and viscous liquids in small-size systems were written and special problems were solved. Mechanical effects of quality and quantity character in ideal and viscous liquids in small-size systems were determined. Some problems determining consumption and distribution of velocity of liquid of narrow channels were solved.

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