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arXiv · patt-sol/9401001

Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation

R. A. Kraenkel·J. G. Pereira·M. A. Manna
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Abstract

We consider a system formed by an infinite viscous liquid layer with a constant horizontal temperature gradient, and a basic nonlinear bulk velocity profile. In the limit of long-wavelength and large nondimensional surface tension, we show that hydrothermal surface-wave instabilities may give rise to disturbances governed by the Kuramoto-Sivashinsky equation. A possible connection to hot-wire experiments is also discussed.

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R. A. Kraenkel, J. G. Pereira, M. A. Manna. 1994-01-04. Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation. https://doi.org/10.1016/0375-9601(94)90992-x

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