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Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions

Nicolas Garnier·Arnaud Chiffaudel·Francois Daviaud
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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).

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Nicolas Garnier, Arnaud Chiffaudel, Francois Daviaud. 2002-08-21. Nonlinear dynamics of waves and modulated waves in 1D thermocapillary flows. II: Convective/absolute transitions. https://doi.org/10.1016/s0167-2789(02)00681-4

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