Streamwise localization of traveling wave solutions in channel flow
| Autor: | Joshua Barnett, Daniel R. Gurevich, Roman O. Grigoriev |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Upstream and downstream (transduction)
Reynolds number FOS: Physical sciences Laminar flow Mechanics Pattern Formation and Solitons (nlin.PS) 01 natural sciences Nonlinear Sciences - Pattern Formation and Solitons 010305 fluids & plasmas Open-channel flow Exponential function Physics::Fluid Dynamics symbols.namesake Classical mechanics 0103 physical sciences Compressibility symbols Traveling wave 010306 general physics Mathematics |
| Zdroj: | Physical review. E. 95(3-1) |
| ISSN: | 2470-0053 |
| Popis: | Channel flow of an incompressible fluid at Reynolds numbers above 2400 possesses a number of different spatially localized solutions that approach laminar flow far upstream and downstream. We use one such relative time-periodic solution, which corresponds to a spatially localized version of a Tollmien-Schlichting wave, to illustrate how the upstream and downstream asymptotics can be computed analytically. In particular, we show that for these spanwise uniform states the asymptotics predict the exponential localization that has been observed for numerically computed solutions of several canonical shear flows but never properly understood theoretically. |
| Databáze: | OpenAIRE |
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