https://doi.org/10.1140/epjst/e2016-60003-5
Regular Article
The effects of fluid motion on oscillatory and chaotic fronts
1 Departamento de Ciencias, Sección Física, Pontificia Universidad Católica del Perú, Av. Universitaria 1801, San Miguel, Lima 32, Perú
2 Department of Physics, Indiana University Purdue University Fort Wayne, Fort Wayne, IN 46805, USA
a e-mail: pvilela@pucp.edu.pe
Received: 11 January 2016
Revised: 29 July 2016
Published online: 22 November 2016
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.
© EDP Sciences, Springer-Verlag, 2016
