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In article there are fluid flow mathematical models at the UV-sterilizer with concentric pipes installed in modernized water supply system of passenger car allowing to determine the velocity field of the rotational velocity component and assess the degree of attenuation depending on the chamber disinfection geometry, the inlet pressure in the water system, and fluid properties. There are exact solutions of the Navier-Stokes equations for a rotating fluid between fixed cylinder of infinite length and limited fictitious determined rotating lids provided Poiseuille axisymmetric flow. The decision explicitly contains the product of cylindrical Bessel functions and hyperbolic functions.

In this article, the object of the study is the power supply cables for non-traction railway consumers. The electrical parameters of the insulated conductor are determined. Primary parameters of the aluminum shell of the main power supply cable are obtained. As a result of solving the problem, the transient resistance of an isolated conductor is determined. From the boundary conditions, the propagation constant of the metal shell of the power supply cable in the polymer insulating coating is determined. As a result, the values of the transition resistance obtained by different methods are the same.