Effect of convection on the stability of a liquid with a nonuniformly distributed heavy admixture (Q2713960)

The effect is studied of the transverse temperature gradient on the stability of the steady motion of a viscous incompressible liquid in a plane vertical layer bounded by two infinite solid surfaces. The motion of the liquid is caused by sedimentation of heavy solid spherical particles distributed nonuniformly across the layer and by the horizontal temperature gradient. Spectra of decrements of small normal perturbations are calculated for various particle sizes and various degrees of nonuniformity of the distribution of admixture particles. The stability of a steady flow of a liquid with an admixture decreases as the temperature gradient and particle radius increase; and increases as the particles tend to a uniform distribution.