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Received July 1, 2008
Accepted August 25, 2008
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Onset of Soret convection in a nanoparticles-suspension heated from above
Department of Chemical Engineering, Jeju National University, Jeju 690-756, Korea 1Department of Chemical Engineering, Seoul National University of Technology, Seoul 139-743, Korea 2Department of Chemical Engineering, KwangWoon University, Seoul 139-701, Korea
mckim@cheju.ac.kr
Korean Journal of Chemical Engineering, March 2009, 26(2), 354-358(5), 10.1007/s11814-009-0059-0
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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 τc 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_x000D_
indicate that for large Rayleigh number convective motion is detected starting from a certain time τ~3 τc. This means that the growth period of initiated instabilities is needed for convective motion to be detected experimentally. It seems evident that during τc≤τ ≤3 τc convective motion is relatively very weak and the primary diffusive transfer is dominant.
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Cerbino R, Vailati A, Giglio M, Phys. Rev. E, 66, 055301 (2002)
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Chen JC, Neitzel GP, Jankowski DF, Phys. Fluids, 28, 749 (1985)
