Convective instability: A physicist's approach

Fluctuations in fluids in thermal nonequilibrium states below the convective Rayleigh–Bénard instability

“…Upon decrease ofq,S NE (q) goes through a maximum and for very small values ofq,S NE (q) decreases as q 2 , in agreement with Eq. (40). For positive R,S NE (q) develops a prominent peak close toq c = π/ √ 2, which diverges as R → R c , as further discussed in Section 6.1.…”

“…The conditions for the validity of the Boussinesq equations, also referred to as Oberbeck-Boussinesq equations, have been discussed extensively in the literature [38][39][40]. Specifically, in deriving the Boussinesq equations from the more general hydrodynamic equations, one neglects the temperature dependence of the various thermophysical properties, except for the density which is taken to vary linearly with temperature.…”

Thermoconvective instabilities of nematic liquid layers : new theoretical predictions

“…have yet reached the level of completeness so far in the standard case of isotropic liquids [6]. This is partially due to the additional complexity brought into the hydrodynamics by the anisotropic properties of the nematic liquid.…”

$$H^{*}$$ H ∗ Peusner’s Form of the Kedem–Katchalsky Equations for Non-homogenous Non-electrolyte Binary Solutions

“…The earliest known version discovered by Bernard is caused by thermoconvection between a heated and a not non-heated plate (Normand et al 1977). Later different version of the spatial structure of the liquid caused by electroconvection was observed due to electric field applied between the horizontally mounted electrodes (Baranowski and Kawczyński 1972;Baranowski 1980;Ward and Le Blanc 1984;Han and Grier 2005.…”