Research of Asymptotic Properties related to Model of Hydrodynamic Stage of Classification Process Evolution in Cyclonic Type Devices

The practical application features of probabilistic and statistical model related to hydrodynamic stage of classification process evolution in the cylinder-conic hydroclones with additional injector are considered in this paper. Expression for the distribution function of firm disperse phase particles in the qualifier is given over time of their stay in the device, as well as depending on its constructive and technical characteristics. The stationary solutions of Fokker-Plank-Kolmogorov kinetic equation have been got for considered process of classification within reasonable assumptions. At the description related to the change of characteristics of division of suspensions in qualifiers the application of three-parametrical curves family which parameters depend not only on hydrodynamic features of streams in the device, but also are defined by relative values of classification influence intensity and centrifugal forces in comparison with intensity of casual influences is offered.

Horizontal Wave Number Dependence of Type II Solutions in Rayleigh?Benard Convection with Hexagonal Planform

The horizontal wave number dependence of the hexagonal planform solutions for the RayleighBenard convection problem, which have a nonzero vertical component of vorticity (type II solutions), has been established. Over the range of wave numbers which support cellular convection, comparisons between the thermal transport characteristics of these cyclonic type solutions and those traditionally obtained from nonlinear investigations of the single horizontal mode equations (type I solutions) have been made. From the numerical results obtained, it is found that the cell aspect ratio which maximizes the heat flux of type II solutions is larger than that for type I solutions, at quivalent parameter values, and that the value of the horizontal wave number giving maximum Nusselt number for type II solutions increases with Rayleigh number and decreases with Prandtl number.