For inviscid, rotational accretion flows driven by a general pseudoNewtonian potential on to a Schwarzschild black hole, the only possible fixed points are saddle points and centre-type points. For the specific choice of the Newtonian potential, the flow has only two critical points, of which the outer one is a saddle point while the inner one is a centre-type point. A restrictive upper bound i...

The mixed type problems arising in transonic flows in gas dynamics and isometric embeddings in geometry are considered. The two-dimensional steady Euler equations for the transonic flow past an obstacle such as an airfoil are first discussed. A viscous approximation to the steady transonic flow problem is presented, and its convergence is obtained by the method of compensated compactness. Then ...

Abstract The major goal of this study is comparing the results heterogeneous and homogeneous condensation through a CD nozzle. experimental technique for liquid phase assessment in wet steam transonic flow tested under real conditions an in-house tunnel test rig. was modelled numerically using CFD code performing models. For comparison between data, static pressure distribution throughout nozzl...

<p style="text-indent:20px;">We construct a supersonic-sonic smooth patch solution for the two dimensional steady Euler equations in gas dynamics. This is extracted from Frankl problem study of transonic flow with local supersonic bubble over an airfoil. Based on methodology characteristic decompositions, we establish global existence and regularity solutions partial hodograph coordinate ...