Analysis of a complete system of hydrodynamic equations that made it possible to obtain the applicability conditions of the Boussinesq approximation in the vicinity of the convective stability loss critical conditions has been carried out. It has been demonstrated that an intricate system of inequalities reduces to simple criteria determined mainly by the system characteristic dimensions. The criteria found in the literature that involve an unjustified narrowing of the field of the Boussinesq approximation application have been analyzed. The found criteria have been used for estimating the parameters of real systems, where the Boussinesq approximation holds.
Department of Molecular Physics and Physical Measurements, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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