Application of the Navier–Stokes equations for description of acoustic spectrum of cylindrical vortex in a viscous heat-conducting gas

The aim of this work is the application of the system of Navier–Stokes equations to the study of oscillation parameters of the gas, determining the frequency of the acoustic radiation, as well as the spectrum of acoustic oscillations of a single cylindrical vortex in a viscous heat–conducting gas (air). Axis of vortex is fixed on the plane. The problem is solved in the approximation of small initial vorticity.