Abstract
The onset of Soret-driven convection in a nanoparticles suspension heated from above is analyzed theoretically based on linear theory and relative instability concept. A new set of stability equations are derived and solved by using the dominant mode method. The dimensionless critical time τ c to mark the onset of instability is presented here as a function of the Rayleigh number, the Lewis number and the separation ratio. Available experimental data indicate that for large Rayleigh number convective motion is detected starting from a certain time τ≈3 τ c . This means that the growth period of initiated instabilities is needed for convective motion to be detected experimentally. It seems evident that during τ c ≤ τ ≤ 3 τ c convective motion is relatively very weak and the primary diffusive transfer is dominant.
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This article is dedicated to Professor Chang Kyun Choi for celebrating his retirement from the School of Chemical and Biological Engineering, Seoul National University.
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Kim, M.C., Kim, L.H. & Yoon, DY. Onset of Soret convection in a nanoparticles-suspension heated from above. Korean J. Chem. Eng. 26, 354–358 (2009). https://doi.org/10.1007/s11814-009-0059-0
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DOI: https://doi.org/10.1007/s11814-009-0059-0