HYDROTHERMAL SURFACE-WAVE INSTABILITY AND THE KURAMOTO-SIVASHINSKY EQUATION

Authors
KRAENKEL RA PEREIRA JC MANNA A
Citation
Ra. Kraenkel et al., HYDROTHERMAL SURFACE-WAVE INSTABILITY AND THE KURAMOTO-SIVASHINSKY EQUATION, Physics letters. A, 185(1), 1994, pp. 88-92
Citations number
19
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
185
Issue
1
Year of publication
1994
Pages
88 - 92
Database
ISI
SICI code
0375-9601(1994)185:1<88:HSIATK>2.0.ZU;2-I
Abstract
We consider a system formed by an infinite viscous liquid layer with a constant horizontal temperature gradient and a basic nonlinear bulk v elocity profile. In the limit of long wavelength and large nondimensio nal surface tension we show that hydrothermal surface-wave instabiliti es may give rise to disturbances governed by the Kuramoto-Sivashinsky equation. A possible connection to hot-wire experiments is also discus sed.