T. Clune, M.C. Depassier and E. Knobloch
Long wavelength oscillatory instability in binary fluids
In: Instabilities and Nonequilibrium Structures V.
(E. Tirapegui and W. Zeller, eds.)
Kluwer Academic., 1996, 75-84.
Binary fluid convection takes the form of oscillations for sufficiently
negative separation ratios. When the confining plates are of poor thermal conductivity
these oscillations have a long wavelength. Nonlinear planform equations governing
the resulting instability are derived for both two and three dimensions. The
technique uses a multiple scale analysis combined with reconstitution. The validity
of the resulting equations is discussed and compared with asymptotically exact
alternatives. The results are found to differ demonstrating the failure of the