The effects of fluid motion on oscillatory and chaotic fronts
| Autor: | Desiderio A. Vasquez, P. M. Vilela |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Convection
Period-doubling bifurcation Physics Buoyancy Front (oceanography) Chaotic General Physics and Astronomy engineering.material Hagen–Poiseuille equation 01 natural sciences Instability 010305 fluids & plasmas Physics::Fluid Dynamics Classical mechanics 0103 physical sciences Slab engineering General Materials Science Physical and Theoretical Chemistry 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | The European Physical Journal Special Topics. 225:2563-2572 |
| ISSN: | 1951-6401 1951-6355 |
| Popis: | We study oscillatory and chaotic reaction fronts described by the Kuramoto-Sivashinsky equation coupled to different types of fluid motion. We first apply a Poiseuille flow on the fronts inside a two-dimensional slab. We show regions of period doubling transition to chaos for different values of the average speed of Poiseuille flow. We also analyze the effects of a convective flow due to a Rayleigh-Taylor instability. Here the front is a thin interface separating two fluids of different densities inside a two-dimensional vertical slab. Convection is caused by buoyancy forces across the front as the lighter fluid is under a heavier fluid. We first obtain oscillatory and chaotic solutions arising from instabilities intrinsic to the front. Then, we determine the changes on the solutions due to fluid motion. |
| Databáze: | OpenAIRE |
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