Linear stability analysis on the onset of Soret-driven motion in a nanoparticles suspension |
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Authors: | M C Kim |
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Institution: | (1) School of Chemical Engineering, Seoul National University, Seoul 151-744, Korea;(2) Department of Chemical Engineering, Cheju National University, Cheju, 690-756, Korea |
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Abstract: | The onset of Soret-driven instability in binary mixture heated from above is analysed using the linear stability theory. The
horizontal fluid layer placed between two plates is in a thermally stable state but the Soret diffusion can induce buoyancy-driven
convection in the case of a negative Soret coefficient. It is well known that convective motion sets in from both boundaries
if the Rayleigh number exceeds its critical value. For the case of highly unstable density stratification the buoyancy-driven
motion sets in during the transient diffusion stage. The new stability equations are derived and are solved analytically and
numerically. Here the stability limits which are related to the onset time of instabilities and wave number are presented
as a function of the Rayleigh number, Lewis number and the separation ratio. The present stability criteria are compared with
the existing experimental data. |
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