4:10 PM–6:46 PM, Monday, November 21, 2005
Hilton Chicago - Continental C
Chair: Alexander Golovin, Northwestern University
4:36 PM–4:49 PM
A. Oron
A. Podolny
A. A. Nepomnyashchy
(Technion- Israel Institute of Technology, Haifa, ISRAEL)
We investigate the long-wave Marangoni
instability in a binary-liquid layer with a deformable
interface in the limit
of a finite Biot number $B$ and a specified heat flux at
the solid substrate and in the presence of
the Soret effect.
In the fundamental case (a) of both finite Galileo
and Lewis numbers, $G$ and $L$, respectively,
and a large inverse capillary number $S$, both
monotonic and oscillatory instabilities are present.
The monotonic instability takes place with
the critical Marangoni number $M_{mon}=48\,L\,\chi^{-1}$,
where $\chi$ is the Soret (separation) number when $-1<\chi<0$.
When $(1+\chi)/\chi >0$, this instability emerges if $L