Vortex breakdown in a truncated conical bioreactor

Axisymmetric Vortex Breakdown in a PipeS

A recent theory of the nearly axisymmetric vortex breakdown in a pipe is presented. We study the motion of an axisymmetric and inviscid swirling ow in a pipe with certain boundary conditions that may reeect the physical situation. The theory is built of global analysis of solutions of the Squire-Long equation and linear stability analysis of these solutions. The theory uniies the major previous...

Mixing in a vortex breakdown flow

A Coaxial Vortex Ring Model for Vortex Breakdown

Denis Blackmore Department of Mathematical Sciences and Center for Applied Mathematics and Statistics New Jersey Institute of Technology Newark, NJ 07102-1982 [email protected] ∗ ∗ ∗ Morten Brøns Department of Mathematics Technical University of Denmark DK-2800 Kgs. Lyngby, Denmark [email protected] ∗ ∗ ∗ Arnaud Goullet Department of Mathematical Sciences New Jersey Institute of Technology New...

Transverse Sensing of Simply Supported Truncated Conical Shells

Modal signals of transverse sensing of truncated conical shells with simply supported boundary condition at both ends are investigated. The embedded piezoelectric layer on the surface of conical shell is used as sensors and output voltages of them in considered modes are calculated. The Governing sensing signal displacement equations are derived based on the Kirchhoff theory, thin-shell assumpt...

Visualization Methods for Vortex Rings and Vortex Breakdown Bubbles

Vortex breakdown bubbles are a subject which is of interest in many disciplines such as aeronautics, mixing, and combustion. Existing visualization methods are based on stream surfaces, direct volume rendering, tensor field visualization, and vector field topology. This paper presents a topological approach which is more closely oriented at the underlying theory of continuous dynamical systems....