


Vol 61, No 1 (2016)
- Year: 2016
- Articles: 11
- URL: https://journals.rcsi.science/1028-3358/issue/view/11974
Physics
On autoionization and pH of liquid water
Abstract
The ionization constant of water Kw (or pH) is currently determined on the proton conductivity σ0 which is measured at frequencies lower than 107 Hz. We develop the idea that the high frequency conductivity σ∞ (~1011 Hz), rather than σ0 represents a net proton dynamics in water. We count the concentration c of the H3O+ and OH– ions from σ∞ to find c to be not dependent on temperature. We conclude that spontaneous ionization of H2O molecules is not essential in water electrodynamics; the common Kw reflects the thermoactivation of the H3O+ and OH– ions from the potential of their interaction; the lifetime of a target water molecule does not exceed parts of nanosecond.






Technical Physics
On vibrational diffusion segregation in granular media
Abstract
In this paper, the definition and description of vibrational diffusion (gradient) segregation of the bulk materials have been provided. The results of the experimental studies of this kind of segregation are described. This technique can be very useful for creation of entirely new high effective machines for granular separation. The results of theoretical investigation are presented. In this investigation, the diffusion equation, in which random and deterministic parameters are taken into consideration, has been used.



Integral equation for a strip coil antenna located on a dielectric cylinder
Abstract
The problem about the distribution of the surface current density in a narrow circular strip antenna as an infinitely thin perfectly conducting ribbon folded in a circle and positioned on the surface of a dielectric cylinder is reduced to a one-dimensional integral equation (IE). A method for solving the obtained IE is proposed. Complex distributions of the azimuthal component of the surface current density over the circular conductor are presented for different values of the dielectric permittivity of the cylinder.






Mechanics
Model of filmwise vapor condensation on curved surfaces
Abstract
A three-dimensional unsteady model of filmwise vapor condensation on a curved surface that takes into account the mass forces, the surface tension, and the friction on the surface of the condensate film is developed. This model generalizes the previous models of the filmwise vapor condensation. An evolution equation is derived for a condensate-layer thickness. Numerical algorithms are developed for solving the evolution equation. The condensation of ethanol vapor moving in a round tube is calculated. The effect of the tube diameter on the intensity of condensation is analyzed.



Analysis of stress singularities at singular points of elastic solids made of functionally graded materials
Abstract
The results of analytical and numerical investigations on estimating the character of the singularity of stresses in a vicinity of different variants of special points of the 2D elastic solids made of functionally graded materials (FGMs) are presented. The variant of construction by analytical methods in the polar system of coordinates is considered for eigensolutions in the flat wedges made of the FGM, the elastic properties of which are represented as power series in terms of the radial coordinate.






Free and controlled motion of a body with a moving internal mass through a fluid in the presence of circulation around the body
Abstract
The free and controlled motion of an arbitrary two-dimensional body with a moving internal mass and constant circulation around the body in an ideal fluid is studied. Bifurcation analysis of the free motion is performed (under the condition of a fixed internal mass). It is shown that the body can be moved to a given point by varying the position of the internal mass. Some problems related to the presence of a nonzero drift of the body with a fixed internal mass are noted.






Astronomy, Astrophysics, Cosmology
Results of analysis of galaxy clusters from the standpoint of similarity and dimensional theory
Abstract
Studies of galaxy clusters enable the evolution of the Universe at various stages of its life to be traced. The luminosities, sizes, temperatures, and masses of clusters are measured during their observations. Clusters are bound by gravitation with the universal constant G into a single whole. All these quantities are defined by three units of measurement: mass, length, and time. Therefore, there are two dimensionless parameters in the system usually called similarity parameters. One of them is the virial ratio of the potential and kinetic energies.


