Berlin 2005 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.68: Poster

Montag, 7. März 2005, 15:30–18:00, Poster TU D

Lorenz-like Equations for the Taylor-Couette System — •Hans-Reinhard Berger — Technische Universität Chemnitz, Institut für Physik

The influence of elasticity on the flow between rotating cylinders is examined by a low-dimensional truncated expansion of trigonometric modes. The viscoelastic second-order model is used in order to describe the material properties of the fluid.

The resulting system of ordinary differential equations describes well the transitions from laminar Couette flow to Taylor-vortex flow, but no bifurcations towards more complex flow structures are observed. It is found that elasticity has a destabilizing influence on the laminar flow compared with the pure viscous flow.

The results of the stability analysis of the truncated system are compared with linear stability calculations of the original hydrodynamic and constitutive equations. The deviations are within a few percent.