Dissipative Boussinesq System of Equations in the Bénard-Marangoni Phenomenon
R. A. Kraenkel, S. M. Kurcbart, J. G. Pereira, M. A. Manna
Abstract
By using the long-wave approximation, a system of coupled evolution equations for the bulk velocity and the surface perturbations of a Bénard-Marangoni system is obtained. It includes nonlinearity, dispersion and dissipation, and it can be interpreted as a dissipative generalization of the usual Boussinesq system of equations. As a particular case, a strictly dissipative version of the Boussinesq system is obtained. Finnaly, some speculations are made on the nature of the physical phenomena described by this system of equations.
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