Evolution of two-dimensional waves in externally perturbed flow on a vertical cylinder
- 1 April 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (8) , 4558-4561
- https://doi.org/10.1103/physreva.43.4558
Abstract
We numerically investigate in a laboratory frame the evolution of waves on the surface of fluid flowing down a cylinder in the context of a two-dimensional Kuramoto-Sivashinsky equation. The conditions for convective instability of the system are derived. We show that spiral waves emerge when the flow is driven at the inlet with a combination of spiral driving and random noise. In the case of a purely-noise-driven flow, spiral-like structures appear occasionally as short transients while the main pattern is a straight wave. In most cases the flow tends to be irregular.Keywords
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