Accelerated vortices in compressible media

A class of exact vortical solutions of the hydrodynamic equations for compressible media (single component or two-phase) is examined, taking viscosity and a gravitational field into account. Velocity profiles that have the structure of a vortex with a uniformly rotating, low-pressure, low-density trunk and a converging radial flow of matter are analyzed. These flows have low energy dissipation and can easily occur under natural conditions. Translated from Astrofizika, Vol. 51, No. 4, pp. 617–632 (November 2008).