Abstract
In this paper we present molecular-dynamics results on Rayleigh-Bénard convection in two dimensions for a system of hard particles contained in a rectangular box. The system shows significant compressibility effects. Important density and temperature variations are observed when different values for the gravitational acceleration and temperature gradient are considered. We have studied the influence of these effects on the onset of convection. The onset takes place for Rayleigh numbers significantly different to the values predicted by the Oberbeck-Boussinesq approximation. We give an empirical curve describing the onset of convection in terms of our control parameters. The results are compared with those obtained from the Navier Stokes equations when considering constant transport coefficients. There is a qualitative agreement with the theory when the work of compression is considered.
Partially supported by grant FONDECYT 90-0005 and Project Fundación Andes C-10003.
Partially supported by grant FONDECYT 90-1240.
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Risso, D., Cordero, P. (1993). Empirical Determination Of The Onset Of Convection For A Hard Disk System. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_20
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DOI: https://doi.org/10.1007/978-94-011-1906-1_20
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