Ab. Ezersky et al., SPATIOTEMPORAL STRUCTURE OF HYDROTHERMAL WAVES IN MARANGONI CONVECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(6), 1993, pp. 4414-4422
When a liquid layer is laterally heated, the basic flow loses stabilit
y in the form of hydrothermal waves. They can be visualized by means o
f the shadowgraph technique. The characteristics of these waves are st
udied by performing the Fourier transform on a spatiotemporal diagram.
The frequency and the wave number inside the range of instability are
studied, and the corresponding dispersion relation is determined. Som
e other two-dimensional features of the waves have also been observed,
such as the dependence of the wave-front shape on the thermal charact
eristics of the lateral walls. Finally, a Ginzburg-Landau equation is
proposed to describe these waves, and several coefficients in this equ
ation are estimated from the experimental data.