Reactive Rayleigh-Taylor Turbulence

The Rayleigh-Taylor (RT) instability develops and leads to turbulence when a heavy fluid falls under the action of gravity through a light one. We consider this phenomenon accompanied by a reactive transformation between the fluids, and study with Direct Numerical Simulations (DNS) how the reaction (flame) affects the turbulent mixing in the Boussinesq approximation. We discuss "slow" reactions where the characteristic reaction time exceeds the temporal scale of the RT instability. In the early turbulent stage, effects of the flame are distributed over a maturing mixing zone, whose development is weakly influenced by the reaction. At later times, the fully mixed zone transforms into a conglomerate of pure-fluid patches of sizes proportional to the mixing zone width. In this "stirred flame'' regime, temperature fluctuations are consumed by reactions in the regions separating the pure-fluid patches. This DNS-based qualitative description is followed by a phenomenology suggesting that thin turbulent flame is of a single-fractal character, and thus distribution of the temperature field is strongly intermittent.Comment: 14 pages, 4 figure

THE RELATIONSHIP OF PERSONAL CHARACTERISTICS WITH THE TENDENCY TO DEVIANT BEHAVIOR IN STUDENTS

Currently, there is an increase in the deviant behavior of students in Russia. Numerous studies are aimed at studying the causes of deviations of adolescents and young men. This is due to the urgency of identifying certain personality characteristics of students with deviant behavior. Purpose: to study the relationship between the tendency to deviant behavior and certain personality traits of adolescent and adolescent students. Methods. The methodology of “Determining the tendency to deviant behavior” by A. N. Orel, 16-factor personality questionnaire by R. B. Cattell, the methodology of “Diagnostics of the real structure of value orientations of personality”, author S. S. Bubnov. Statistical methods of processing the results of empirical research in the STATISTICA program were used. Results. We have revealed the relationship of high indicators on the scale of the attitude to socially desirable responses according to the method of “Determining the propensity for deviant behavior” by A. N. Orel with the peculiarities of the verbal intelligence of the respondents. The tendency to overcome norms and rules has a connection with nonconformism, a tendency to addictive behavior, weak volitional control of emotional reactions and a tendency to delinquent behavior are associated with verbal intelligence. The tendency to self-harming and self-destructive behavior, as well as the tendency to aggression and violence are interrelated with such a personality trait as radicalism. Conclusion. The conducted research proves the relationship of the tendency to deviant behavior of students with certain traits of their personality. Practical implications. The results allow us to evaluate some personality traits of students with deviant behavior and provide opportunities for developing approaches to their psychological and pedagogical support

Complementary methods for the prevention and treatment of stress-induced mastopathy

The article considers the relationship between stress and diseases of the female reproductive system. A method for the rehabilitation of patients with mastopathy resulting from psycho-emotional stress (stress) based on the use of complementary methods of prevention and medical rehabilitation is proposed

On the existence of traveling waves in the 3D Boussinesq system

We extend earlier work on traveling waves in premixed flames in a gravitationally stratified medium, subject to the Boussinesq approximation. For three-dimensional channels not aligned with the gravity direction and under the Dirichlet boundary conditions in the fluid velocity, it is shown that a non-planar traveling wave, corresponding to a non-zero reaction, exists, under an explicit condition relating the geometry of the crossection of the channel to the magnitude of the Prandtl and Rayleigh numbers, or when the advection term in the flow equations is neglected.Comment: 15 pages, to appear in Communications in Mathematical Physic

Ultimate photo-induced Kerr rotation achieved in semiconductor microcavities

Photoinduced Kerr rotation by more than $\pi /2$ radians is demonstrated in planar quantum well microcavity in the strong coupling regime. This result is close to the predicted theoretical maximum of $\pi$. It is achieved by engineering microcavity parameters such that the optical impedance matching condition is reached at the smallest negative detuning between exciton resonance and the cavity mode. This ensures the optimum combination of the exciton induced optical non-linearity and the enhancement of the Kerr angle by the cavity. Comprehensive analysis of the polarization state of the light in this regime shows that both renormalization of the exciton energy and the saturation of the excitonic resonance contribute to the observed optical nonlinearities.Comment: Shortened version prepared to submit in Phys. Rev. Letter

Mixing and reaction efficiency in closed domains

We present a numerical study of mixing and reaction efficiency in closed domains. In particular we focus our attention on laminar flows. In the case of inert transport the mixing properties of the flows strongly depend on the details of the Lagrangian transport. We also study the reaction efficiency. Starting with a little spot of product we compute the time needed to complete the reaction in the container. We found that the reaction efficiency is not strictly related to the mixing properties of the flow. In particular, reaction acts as a "dynamical regulator".Comment: 11 pages, 10 figure

Self-Similarity and Universality in Rayleigh-Taylor, Boussinesq Turbulence

We report and discuss case study simulations of the Rayleigh-Taylor instability in the Boussinesq, incompressible regime developed to turbulence. Our main focus is on a statistical analysis of density and velocity fluctuations inside of the already developed and growing in size mixing zone. Novel observations reported in the manuscript concern self-similarity of the velocity and density fluctuations spectra inside of the mixing zone snapshot, independence of the spectra of the horizontal slice level, and universality showing itself in a virtual independence of the internal structure of the mixing zone, measured in the re-scaled spatial units, of the initial interface perturbations.Comment: 10 pages, 11 figure

Flame Enhancement and Quenching in Fluid Flows

We perform direct numerical simulations (DNS) of an advected scalar field which diffuses and reacts according to a nonlinear reaction law. The objective is to study how the bulk burning rate of the reaction is affected by an imposed flow. In particular, we are interested in comparing the numerical results with recently predicted analytical upper and lower bounds. We focus on reaction enhancement and quenching phenomena for two classes of imposed model flows with different geometries: periodic shear flow and cellular flow. We are primarily interested in the fast advection regime. We find that the bulk burning rate v in a shear flow satisfies v ~ a*U+b where U is the typical flow velocity and a is a constant depending on the relationship between the oscillation length scale of the flow and laminar front thickness. For cellular flow, we obtain v ~ U^{1/4}. We also study flame extinction (quenching) for an ignition-type reaction law and compactly supported initial data for the scalar field. We find that in a shear flow the flame of the size W can be typically quenched by a flow with amplitude U ~ alpha*W. The constant alpha depends on the geometry of the flow and tends to infinity if the flow profile has a plateau larger than a critical size. In a cellular flow, we find that the advection strength required for quenching is U ~ W^4 if the cell size is smaller than a critical value.Comment: 14 pages, 20 figures, revtex4, submitted to Combustion Theory and Modellin