Geometrical mass-inertia model of dynamic surface forming

Abstract

The dependence of elements of inertia tensor on cross-sectional area bounded by the generatrix of the dynamic surface is determined. Also, the dependence on the area of dynamic parameters describing the flow of working substance, such as the flow rate, the average flow velocity over the cross section, the flow power in the cross section, etc., has also been determined. Studies have shown that the inertia tensor contains geometric information about the generatrix and can be used for shaping the channel surface In accordance with the dynamic parameters of the working substance. A geometric model of the formation
of a dynamic surface is obtained, based on the application of the mass-inertial characteristics of its generating lines. The carried out research allow to achieve the most optimal combination of the regime (dynamic) characteristics of the working substance transported by the dynamic surface and the design characteristics of this surface.