Transonic similarity solution for aligned field MHD nozzle flow

Transonic similarity solution for aligned field MHD nozzle flow

S U M M A R Y The transonic flow near the throat of a converging-diverging nozzle of a gas with infinite electrical conductivity is considered. The magnetic field B is everywhere aligned with the velocity q so that the equations describing the flow are reducible to those of ordinary gasdynamics. Thus, it is possible to utilize the transonic similarity solution of Tomotika and Tamada [3] to stud...

Unsteady Transonic Nozzle Flow with Heat Addition

On MHD stability of gravitating plasmas with field aligned flows

A previous stability condition (see Throumoulopoulos and Tasso, Physics of Plasmas 14, 122104 (2007)) for incompressible plasmas with field aligned flows is extended to gravitating plasmas including selfgravitation. It turns out that the stability condition is affected by gravitation through the equilibrium values only.

Transonic Evaporation Waves in a Spherically Symmetric Nozzle

This paper studies the liquid to vapor phase transition in a cone shaped nozzle. Using the geometric method presented in [32, 34], we further develop results on subsonic and supersonic evaporation waves in [14] to transonic waves. It is known that transonic waves do not exist if restricted solely to the slow system on the slow manifolds [14]. Thus we consider the existence of transonic waves th...

Transonic Potential Flows in A Convergent–Divergent Approximate Nozzle

In this paper we prove existence, uniqueness and regularity of certain perturbed (subsonic–supersonic) transonic potential flows in a two-dimensional Riemannian manifold with “convergent–divergent” metric, which is an approximate model of the de Laval nozzle in aerodynamics. The result indicates that transonic flows obtained by quasi-one-dimensional flow model in fluid dynamics are stable with ...