Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions
Abstract
We present experimental results on hydrothermal waves in long and narrow 1D channels. In a bounded channel, we describe the primary and secondary instabilities leading to waves and modulated waves in terms of convective/absolute transitions. Because of on the combined effect of finite group velocity and of the presence of boundaries, the wave-patterns are non-uniform in space. We also investigate non-uniform wave-patterns observed in an annular channel in the presence of sources and sinks of hydrothermal waves. We connect our observations with the complex Ginzburg-Landau model equation in the very same way as in the first part of the paper (nlin.PS/0208029).
Keywords
Cite
@article{arxiv.nlin/0208030,
title = {Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions},
author = {Nicolas Garnier and Arnaud Chiffaudel and Francois Daviaud},
journal= {arXiv preprint arXiv:nlin/0208030},
year = {2009}
}
Comments
37 pages, 23 figures (elsart.cls + AMS extensions). Accepted in Physica D. See also companion paper "Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. I: General presentation and periodic solutions" (nlin.PS/0208029). A version with high resolution figures is available on N.G. webpage