ANALYTICAL 2-DIMENSIONAL SOLUTIONS FOR HYDRODYNAMIC ASTROPHYSICAL FLOWS

A new class of steady state, analytical, two-dimensional, non-separate d variables solutions for helicoidal hydrodynamic (HD) outflows from r otating stellar objects is derived selfconsistently from the set of th e governing (Eulerian) equations of continuity. The fluid is assumed t o be compressible, inviscid and non-polytropic. The families of soluti ons describe either accelerating or decelerating stellar winds with we ak collimation (quasi-spherical) which vanishes with the radial distan ce. We present four cases of solutions with their velocity maxima eith er at the poles or at the equator of the central body and some of them can be understood as inflows or as stellar shell formations. One of t he solution families, showing an accelerating supersonic outflow, is a pplied to typical parameters of T Tauri stars keeping the observationa l outflow velocities and mass loss rates. Under this example, the appl icability of these solutions is examined. The new solutions are compar ed with previous analytical 2-D models.