Effect of Coriolis force on Accretion Flows around Rotating Compact Object

Abstract

Using the generalised set of fluid equations that include the `Coriolis force' along with the centrifugal and pressure gradient forces, we have reanalysed the class of self similar solutions, with the pseudo-Newtonian potential. We find that the class of solutions is well behaved for almost the entire parameter space except for a few selected combinations of $γ$ and $α$ for the co-rotating flow. The analysis of the Bernoulli number shows that whereas it remains positive for co-rotating flow for $f>1/3$, for the counter-rotating flow it does admit both positive and negative values, indicating the possibility of energy transfer in either direction.

15 Latex pages including 10 figures; World Scientific Style; to appear in 'International Journal of Modern Physics D'