Volume 104, Number 2, October 2013
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||20 November 2013|
Experimental stabilisation of 2D vortex patterns using time-dependent forcing
1 FOM Institute DIFFER - Dutch Institute for Fundamental Energy Research, Association EURATOM-FOM, Trilateral Euregio Cluster - P.O. Box 1207 Nieuwegein, The Netherlands
2 Control Systems Technology, Department of Mechanical Engineering - Eindhoven University of Technology P.O. Box 513, 5600 MB Eindhoven, The Netherlands
3 Fluid Dynamics Laboratory, Department of Applied Physics - Eindhoven University of Technology Eindhoven, The Netherlands
4 Dynamics and Control, Department of Mechanical Engineering - Eindhoven University of Technology Eindhoven, The Netherlands
Received: 9 September 2013
Accepted: 28 October 2013
Experimental results of the effect of time-periodic and “chirped” (electro-magnetic) forcing on vortex patterns in shallow-water-layer flows are presented. Analogously to vibrational control, the use of a time-periodic forcing results in stabilisation of otherwise unstable vortex patterns. Chirped frequency forcing yields self-organising patterns that are different from those in stationary and periodically forced experiments. The results are shown to be consistent with theoretical analysis of 2D Taylor-Green vortices, i.e. unstable analytical solutions of the 2D Navier-Stokes equation. These results imply that, compared to the more often analysed stationary forced flows, time-varying forcing can stabilise different vortex patterns in shallow-water-layer flows.
PACS: 47.32.C- – Vortex dynamics / 47.20.-k – Flow instabilities / 47.27.De – Coherent structures
© EPLA, 2013
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