Journal
PHYSICAL REVIEW E
Volume 100, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.100.031102
Keywords
-
Categories
Funding
- National Science Foundation under NSF CBET [1554149]
- Schweizerischer Nationalfonds zur Forderung der Wissenschaftlichen Forschung under SNSF [200021_160088]
- Directorate For Engineering
- Div Of Chem, Bioeng, Env, & Transp Sys [1554149] Funding Source: National Science Foundation
Ask authors/readers for more resources
Spatially localized invariant solutions of plane Couette flow are organized in a snakes-and-ladders structure strikingly similar to that observed for simpler pattern-forming partial differential equations [Schneider, Gibson, and Burke, Phys. Rev. Lett. 104, 104501 (2010)]. We demonstrate the mechanism by which these snaking solutions originate from well-known periodic states of the Taylor-Couette system. They are formed by a localized slug of wavy-vortex flow that emerges from a background of Taylor vortices via a modulational sideband instability. This mechanism suggests a close connection between pattern-formation theory and Navier-Stokes flow.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available