


Vol 61, No 2 (2016)
- Year: 2016
- Articles: 14
- URL: https://journals.rcsi.science/1028-3358/issue/view/11948
Mechanics
The Reynolds analogy and a new formulation of the temperature-defect law for a turbulent boundary layer on a plate
Abstract
A rational asymptotic theory describing the dynamic and thermal turbulent boundary layer on a plate at zero pressure gradient is proposed. The fact that the flow depends on a finite number of governing parameters makes it possible to formulate algebraic closure conditions, which relate the turbulent shear stress and heat flux to mean velocity and temperature gradients. As a result of an exact asymptotic solution of the boundary-layer equations, the known laws of the wall for the velocity and temperature and the velocity and temperature defect laws as well as the expression for the skin-friction coefficient, the Stanton number, and the Reynolds-analogy factor are obtained. The latter implies two new formulations of the temperature-defect law, one of which is completely similar to the velocity-defect law and does not contain the Stanton number and the turbulent Prandtl number, and the other does not contain the skin-friction coefficient. A heat-transfer law that relates only thermal quantities is also obtained. The conclusions of the theory agree well with experimental data.



Shock wave dispersion of gas–particle mixtures
Abstract
The decay of a discontinuity in a two-component homogeneous gas mixture and the dispersion of a gas–particle mixture with a two-component carrier medium are numerically simulated. The mathematical model of the dynamics of heterogeneous media takes into account the interphase force interaction and interphase heat exchange. Experimental results known from the literature are compared with numerical results describing the dispersion of a gas–particle mixture in a shock tube.



Motion of a buoyant vortex ring opposite to the lift direction
Abstract
The motion of a buoyant vortex ring in the direction opposite to the lifting force of a set magnitude in a wide range of variation of its initial velocity is experimentally investigated. The dynamics of its sizes is determined; the experimental results are compared with the theoretical data for homogeneous and inhomogeneous buoyant vortices in the gravity field.



Symmetry in the problem on wave-flow modes of a thin viscous-fluid layer
Abstract
It is shown that a suitable transformation in the transverse-coordinate shift makes the set of equations describing the flow of viscous fluid films in the long-wavelength approximation invariant with respect to the reflection transformation. When constructing the flow models with the Galerkin spectral method, this symmetry in the equation for the longitudinal velocity stimulates its representation with the help of a set of functions symmetric with respect to the transverse coordinate.



An unsteady pseudoshock model for barotropic gas flow
Abstract
A mathematical unsteady pseudoshock model describing the continuous transition from supersonic to subsonic flow is constructed for a barotropic gas flow in a long flat channel or a nozzle. The model is based on a two-layer scheme of flow with mass transfer including a potential supersonic core and a turbulent boundary layer.



The stability of translational motion of a solid with impacts on the horizontal plane
Abstract
The nonlinear problem on the orbital stability of the periodic motion of a homogeneous paraboloid of revolution above a stationary horizontal plane in a uniform gravitation field is solved. It is assumed that the plane is perfectly smooth and that the impacts of the solid on the plane are perfectly elastic. During unexcited motion, the axis of symmetry of the solid is vertical and the solid moves translationally and periodically encounters the plane. With the method of the Poincare section surfaces the problem is reduced to study of the stability of a stationary point of the self-mapping of the plane, which retains the area. The conditions for stability and instability are obtained for almost all physically permissible values of the parameters of the problem.



The problem of physical and mechanical precursors of an earthquake: Place, time, and intensity
Abstract
A model is constructed for one type of earthquake starting from the preparation through the completion of the event. This model, which is completely based on the laws of physics and mechanics, makes it possible to reveal, probably, a new type of dumping earthquake called “starting” because it precedes strong crustal earthquakes related to the interactions of lithospheric plates.



Physics



Luminescence of Ba1–xLaxF2 + x: Ce3+ crystals
Abstract
The luminescence of BaF2 crystals with various concentrations of cerium and lanthanum is studied under excitation with X-rays and UV radiation. In the X-ray luminescence spectra of BaF2–Сe3+ crystals, luminescence quenching is observed at a concentration of cerium above 0.1%. In Ba1–xLaxF2 + x: Ce3+ crystals, an increase in the concentration of lanthanum at a constant concentration of cerium leads to the same X-ray luminescence quenching as that caused by a similar increase in the concentration of cerium. No corresponding concentration luminescence quenching occurs under photoexcitation. The results show that luminescence quenching under X-ray excitation is primarily caused by energy loss at the stage of the transfer of the energy from the matrix to the dopant rather than by the transfer of the energy from excited cerium ions to quenching centers.



Mathematical modeling of vibrations in turbogenerator sets of Sayano-Shushenskaya Hydroelectric Power Station
Abstract
Oscillations in turbogenerator sets, which consist of a synchronous generator, a hydraulic turbine, and an automatic speed regulator, are investigated. This study was motivated by the emergency that took place at the Sayano-Shushenskaya Hydroelectric Power Station in 2009. During modeling of the parameters of turbogenerator sets of the Sayano-Shushenskaya Hydroelectric Power Station, the ranges corresponding to undesired oscillation regimes were determined. These ranges agree with the results of the full-scale tests of the hydropower units of the Sayano-Shushenskaya Hydroelectric Power Station performed in 1988.



Technical Physics
Effect of reversible torsion on the structure and mechanical properties of iron under severe plastic deformations in a Bridgman camera
Abstract
The effect of the reversible direction of rotation of the movable anvil of the Bridgman camera (torsion under high quasi-hydrostatic pressure at room temperature) on the structure and mechanical properties of commercially pure iron (steel 08kp) is investigated. It is established that a change in the direction of rotation of the movable anvil under torsion substantially effects the structural characteristics of deformation fragments and dynamically recrystallized grains formed under severe plastic deformations. The effect of the method of deformation on the internal distortions of structure and on the mechanical properties is analyzed.



Astronomy, Astrophysics, Cosmology
Water in the Moon’s polar areas: Results of LEND neutron telescope mapping
Abstract
The results of LEND neutron telescope mapping of the lunar surface are presented. The estimations obtained show that the water content in the regolith in the polar areas of the Moon reaches 0.4 % by weight and not directly determined by the illuminated surface.



Erratum
Erratum to: “Capillary waves on the surface of a droplet falling into a liquid”



Erratum to: “Stimulated raman scatting in CVD diamond 12C”


