Rotating waves within a hollow vortex core

Hamid Ait Abderrahmane, Kamran Siddiqui, Georgios H. Vatistas

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The rotating waves within a hollow vortex core (polygonal patterns) are generated under shallow water conditions inside a cylindrical tank by a revolving disk at its bottom. We previously reported some basic features of these polygonal patterns during transition and at the equilibrium states. The present paper includes a more comprehensive investigation into the transition process of these polygonal patterns and expands the recent partial results that have been previously reported. We show that the parent wave (or the N-gon pattern) to disk frequencies ratio is around one-third (1/3) regardless of the flow conditions. A detailed insight into the transition process from the parent wave N-gon to daughter wave (N + 1)-gon is provided, which consists of two regimes, quasi-periodic and synchronized. Based on these observations, we explained the shrinking of the disk speed subintervals over which the N-gon patterns occur, when N increases.

Original languageBritish English
Pages (from-to)677-688
Number of pages12
JournalExperiments in Fluids
Issue number3
StatePublished - Mar 2011


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