Spiral and Taylor vortex fronts and pulses in axial through-flow

Details Spiral and Taylor vortex fronts and pulses in axial through-flow Spiral and Taylor vortex fronts and pulses in axial through-flow

2003-04-24

arxiv.org/abs/physics/0304092v2

Phys. Rev. E 67, 026318 (2003)

Physics

Fluid Dynamics

15 pages, 9 figures

Scientific paper

10.1103/PhysRevE.67.026318

The influence of an axial through-flow on the spatiotemporal growth behavior of different vortex structures in the Taylor-Couette system with radius ratio eta=0.5 is determined. The Navier Stokes equations (NSE) linearized around the basic Couette-Poiseuille flow are solved numerically with a shooting method in a wide range of through-flow strengths Re and different rates of co- and counterrotating cylinders for toroidally closed vortices with azimuthal wave number m=0 and for spiral vortex flow with m=+1 and m=-1. For each of these three different vortex varieties we have investigated (i) axially extended vortex structures, (ii) axially localized vortex pulses, and (iii) vortex fronts. The complex dispersion relations of the linearized NSE for vortex modes with the three different m are evaluated for real axial wave numbers for (i) and over the plane of complex axial wave numbers for (ii,iii). We have also determined the Ginzburg-Landau amplitude equation (GLE) approximation in order to analyze its predictions for the vortex stuctures (ii,iii). Critical bifurcation thresholds for extended vortex structures are evaluated. The boundaries between absolute and convective instability of the basic state for vortex pulses are determined with a saddle-point analysis of the dispersion relations. Finally, the linearly selected front behavior of growing vortex structures is investigated. For the two front intensity profiles (increasing in positive or negative axial direction) we have determined front velocities, axial growth rates, and the wave numbers and frequencies of the unfolding vortex patterns with azimuthal wave numbers m=0, +1, -1, respectively.

Affiliated with

Also associated with

No associations

Rating

Spiral and Taylor vortex fronts and pulses in axial through-flow does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spiral and Taylor vortex fronts and pulses in axial through-flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spiral and Taylor vortex fronts and pulses in axial through-flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519853