On the origin of spin-up processes in decaying two-dimensional turbulence

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Keetels, G.H. and Clercx, H.J.H. and Heijst, G.J.F. van (2010) On the origin of spin-up processes in decaying two-dimensional turbulence. European journal of mechanics, B/fluids, 29 (1). pp. 1-8. ISSN 0997-7546

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Abstract:A remarkable feature of two-dimensional turbulence in a square container with no-slip walls is the spontaneous production of angular momentum due to flow-wall interactions, also known as spontaneous spin-up of the flow. In this paper we address the statistics of spin-up and discuss its likely origin. A signature of the spontaneous production of angular momentum is the development of a large-scale circulation cell. It is found that the global turnover time of the flow guides the spin-up process, which can be considered as a relaxation process of the macroscopic flow to an angular momentum containing state. The high turnover rate of the small-scale vortical structures emerging from the no-slip walls apparently has no significant effect on the spin-up rate. The presented data on the spin-up process strongly suggest that spin-up is not the net result of isolated vortex-wall interactions, with its associated pressure fluctuations on the domain boundaries, alone. The rapid spin-up of the flow clearly suggests the attraction to an angular momentum containing state.
Item Type:Article
Additional information:The authors gratefully acknowledge financial support from the Dutch Foundation for Fundamental Research on Matter (FOM), which is financially supported by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek (Netherlands Organization for Scientific Research, NWO). Part of this work was sponsored by the Stichting Nationale Computerfaciliteiten (National Computing Facilities Foundation, NCF) for the use of supercomputer facilities, with financial support from NWO.
Copyright:© 2010 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/75833
Official URL:http://dx.doi.org/10.1016/j.euromechflu.2009.06.004
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