A. Podolny1,2, A. Nepomnyashchy3, A. Oron4
FDMP-Fluid Dynamics & Materials Processing, Vol.6, No.1, pp. 13-40, 2010, DOI:10.3970/fdmp.2010.006.013
Abstract A general model for two-component transport phenomena applicable for both nanofluids and binary solutions is formulated. We investigate a combined long-wave Marangoni and Rayleigh instability of a quiescent state of a binary (nano-) liquid layer with a non-deformable free surface. The layer is heated from below or from above. The concentration gradient is induced due to the Soret effect. A typical behavior of monotonic and oscillatory instability boundaries is examined in the limit of asymptotically small Lewis numbers and poorly conducting boundaries in the two important long-wave domains k~Bi1/2and k~Bi1/4. More >