Stability of Swirl Axisymmetric Incompressible Flow

Dynamic Stability of the Three-Dimensional Axisymmetric Navier-Stokes Equations with Swirl

In this paper, we study the dynamic stability of the three-dimensional axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional model that approximates the Navier-Stokes equations along the symmetry axis. An important property of this one-dimensional model is that one can construct from its solutions a family of exact solutions of the threedimensionaFin...

On vortex stretching and the global regularity of Euler flows I. Axisymmetric flow without swirl

The question of vortex growth in Euler flows leads naturally to the emergence of paired vortex structure and the “geometric” stretching of vortex lines. In the present paper, the first of two papers devoted to this question, we examine bounds on the growth of vorticity in axisymmetric flow without swirl. We show that the known bound on vorticity in this case, exponential in time, can be improve...

The Incompressible Laminar Axisymmetric Wake

Axisymmetric Computations of Flow and Heat Transfer in a Pre−swirl Rotor−stator System

ABSTRACT An axisymmetric, turbulent, multigrid computational fluid dynamics (CFD) code is used, on a parallel computing facility, to predict the mixing between superposed flows in a pre−swirl rotor−stator system, being a simplified representation of the internal air cooling system in gas turbine engines. Strong recirculations formed by the pre−swirl cross−flow lead to entrainment of disc−coolin...

Steady Axisymmetric Vortex Flows with Swirl and Shear

A general procedure is presented for computing axisymmetric swirling vortices which are steady with respect to an inviscid flow that is either uniform at infinity or includes shear. We consider cases both with and without a spherical obstacle. Choices of numerical parameters are given which yield vortex rings with swirl, attached vortices with swirl analogous to spherical vortices found by Moff...