Fluid Dynamics & Aerodynamics

Biography

Biography: V V Aristov

Abstract

New problems with nonequilibrium boundary conditions are formulated and solved on the basis of the Boltzmann and kinetic model equations. These simulations are stimulated by modern interest for understanding strong nonequilibrium processes in open systems. Some generalizations of spatially nonuniform relaxation problems for supersonic and subsonic boundary conditions are considered. Direct methods of solving kinetic equations are used. Anomalous stress and heat transport is obtained and analyzed. A known problem of heat conduction between two plates with different temperatures but with the nonequilibrium condition in one of them (namely, in the left boundary) is studied. Some restrictions were found under which the signs of heat flux and temperature gradients are the same. At the boundary the nonequilibrium ellipsoidal distribution function is accepted with different ratios of the transversal temperatures T_nl and longitudinal temperature T_xl (which is fixed). The heat flux q_x is constant and positive for all variants and the temperature gradients are also positive. Several experimental tests can be proposed to confirm the mentioned effects. The main problem is to create and maintain boundary nonequilibrium states. This could be resolved e.g. by means of the optic lattices or by means of the magnetic trap. One can discuss possible applications of these anomalous effects. A new problem with the “membrane-like” boundary conditions is formulated and solved. Due to accepting different boundary distributions in velocity space, it is possible to form different spatial distributions of macroscopic parameters. Regions with anomalous transport are obtained. Formulation of this problem for the kinetic equation including chemical reactions is also considered. Possible relations for biological oriented problems are discussed.