3 research outputs found
Hydrothermal Surface-Wave Instability and the Kuramoto-Sivashinsky Equation
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.Comment: 11 pages, RevTex, no figure