TY - EJOU AU - Podolny, A. AU - Nepomnyashchy, A. AU - Oron, A. TI - Rayleigh-Marangoni Instability of Binary Fluids with Small Lewis Number and Nano-Fluids in the Presence of the Soret Effect T2 - Fluid Dynamics \& Materials Processing PY - 2010 VL - 6 IS - 1 SN - 1555-2578 AB - 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. KW - nanofluids KW - Marangoni convection KW - Rayleigh convection KW - Soret effect DO - 10.3970/fdmp.2010.006.013