Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Thermophoresis in Dense Gases: a Study by Born-Green- Yvon Equation

  • Han Minsub (Micro Thermal System Research Center, Seoul National University)
  • Published : 2005.04.01
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Abstract

Thermophoresis in dense gases is studied by using a multi-scale approach and Born- Yvon­Green (BYG) equation. The problem of a particle movement in an ambient dense gas under temperature gradient is divided into inter and outer ones. The pressure gradient in the inner region is obtained from the solutions of BYG equation. The velocity profile is derived from the conservation equations and calculated using the pressure gradient, which provides the particle velocity in the outer problem. It is shown that the temperature gradient applied to the quiescent ambient gas induces some pressure gradient and thus flow tangential to the particle surface in the interfacial region. The mechanism that induces the flow may be the dominant source of the thermophretic particle movement in dense gases. It is also shown that the particle velocity has a nonlinear relationship with the applied temperature gradient and decreases with increasing temperature.

Keywords

References

  1. Cho, S. S. and Park, S., 2002, 'Molecular Dynamics Simulation of Adhesion Processes,' KSME Int. J., Vol. 16, No. 11, pp. 1440-1447
  2. Epstein, P. S., 1929, 'Zur Theorie des Radiometers,' Z. Phys, Vol. 54, pp. 537-563 https://doi.org/10.1007/BF01338485
  3. Fischer, J. and Methfessel, M., 1980, 'Born-Green-Yvon Approach to the Local Densities of a Fluid at interfaces,' Phys. Rev. A., Vol. 22, pp. 2836-2843 https://doi.org/10.1103/PhysRevA.22.2836
  4. Han, M., 2005, 'Thermophoresis in Liquids : a Molecular Dynamics Simulation Study,' J. Colloid Int. Sci., Vol. 284, Iss 1, pp. 339-348 https://doi.org/10.1016/j.jcis.2004.09.067
  5. Irving, J. H. and Kirkwood, J. G., 1950, 'The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics,' J. Chem. Phys., Vol. 18, pp. 817-829 https://doi.org/10.1063/1.1747782
  6. Lee, J., Park, S. and Kwon, O., 2002, 'Characterization of Thin Liquid Films Using Molecular Dynamics Simulation,' KSME Int. J., Vol. 16, No. 11, pp. 1477-1484
  7. Maxwell, J. C. 1879, 'On the Stress in Rarefied Gases Arising from Inequalities of Temperature,' Philos. Trans. R. Soc., Part I, Vol.2, pp. 255-286
  8. McNab, G. S. and Meisen, A., 1973, 'Thermophoresis in Liquids,' J. Coll. Int. Sci., Vol. 44, pp. 399-346 https://doi.org/10.1016/0021-9797(73)90225-7
  9. Nicolas, J. J., Gubbins, K. E., Streett, W. B. and Tildesley, D. J., 1979, 'Equation of State for the Lennard-Jones Fluid,' Mol. Phys., Vol. 37, pp. 1429-1454 https://doi.org/10.1080/00268977900101051
  10. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P., 1997, Numerical Recipes in C : The Art of Scientific Computing, Cambridge University Press, Cambridge
  11. Probstein, R. F., 1994, Physicochemical Hydrodynamics : An Introduction, John Wiley & Sons, New York
  12. Schrodt, I. B. and Davis, H. T., 1971, 'Kinetic Theory of Dense Fluids,' J. Chem. Phys., Vol. 61, pp. 323-329 https://doi.org/10.1063/1.1681640
  13. Sone, Y., 2000, 'Flow Induced by Temperature Fields in a Rarefied Gas and Their Ghost Effect on the Behavior of a Gas in the Continuum Limit,' Ann. Rev. Fluid Mech., Vol. 32, pp. 779-811 https://doi.org/10.1146/annurev.fluid.32.1.779
  14. Steele, W. A., 1973, 'The Physical Interaction of Gases with Crystalline Solids. I. Gas-solid Energies and Properties of Isolated Adsorbed Atoms,' Surf. Sci., Vol. 36, pp. 327-352 https://doi.org/10.1016/0039-6028(73)90264-1
  15. Zheng, F., 2002, 'Thermophoresis of Spherical and Non-spherical Particles : a Review of Theories and Experiments,' Adv. Coll. Interf Sci., Vol.97, pp. 255-278 https://doi.org/10.1016/S0001-8686(01)00067-7