Nonlinear acoustic oscillations in swirling gas flows

A class of exact solution of the gasdynamics equations with the linear dependence of the velocity components on the coordinates and a functional arbitrariness in the density (entropy) distribution is constructed. Using this class the characteristics of acoustic oscillations occurring, when a swirling gas flow deviates from the steady cyclostrophic equilibrium regime, that is, the equilibrium between the pressure gradient and the centrifugal force, are studied. An expression for the fundamental oscillation frequency agreeing with the measurements is derived.