Numerical solutions of equations system of turbulent transport of admixtures in a surface layer of the atmosphere and for a large scale have been studied
The completely closed model of wall turbulence was derived directly from the Navier-Stokes equation. The fundamental constants of wall turbulence including the Karman constant have been calculated within a theory. This model has been developed also for the accelerated and non-isothermal turbulent boundary layer flows over rough surface
In the article, we have suggested a general mathematical model of non-stationary and non-isothermal process of a binary electrolyte transfer in dilute solutions in an electro-membrane system (EMS), taking into account the joint action of gravitational convection, forced convection and electro convection in potential dynamic mode. This model is a boundary problem for a system of two-dimensional quasi-linear Navier-Stokes equation and Nernst-Planck-Poisson in partial derivatives equation. We have developed a theory of similarity of the process of heat and mass transfer in electro-membrane systems, specifically, in a desalting channel of electro dialysis apparatus, taking into account joint actions of concentration polarization, space charge, gravity convection, forced convection and electro convection. It is shown that the criterion of electro convection does not directly depend on the initial concentration, and, therefore, electro convection occurs at any initial concentration. At the same time, the criterion of concentration convection linearly dependents on the initial concentration, and, therefore, at high concentrations, concentration convection prevails, while at lower concentrations, the role of gravitational convection begins to fall whereas the role of electro convection increases. The theory of similarity of the process of heat and mass transfer in the desalting channel of electro dialysis apparatus built in this work taking into account the joint action of concentration polarization, space charge, gravity convection, forced convection and electro convection is important for engineering calculations, for scaling the results of experiments in an electro-membrane cell for industrial electro dialysis water desalting apparatus
In this article we discuss a version of the metric theory
of the fundamental interactions in which it is assumed
that the physical constants due to the presence of extra
dimensions of space-time. The estimation of the
number of physical constants based on the theory of
supergravity in 112D is that the minimum number of
constants is equal to 222, and the maximum number -
1404928. At present, the number of parameters that
characterize the elementary particles, isotopes and
chemical elements is about 150920. This number is 9.3
less than the maximum possible number of parameters
that indicate still great potential of modern science.
Functions describing the area and volume of a unit
hypersphere, embedded in a Riemannian space of
arbitrary dimension, were used to find the fundamental
physical constants. A satisfactory agreement with a
relative error of 0.03% calculated and experimental
values of the fine structure constant found out. For the
ratio of the average mass of a nucleon to the electron
mass is obtained coincidence with the experimental
value with an accuracy of 0.002%. The proposed
theory of physical constants different from that Bartini
theory that established the optimal dimension of the
space is a hypersphere 5 and 7, rather than 6 as in
Bartini theory. The problems of the compactification
of extra dimensions in describing the motion in fourdimensional
space-time are discussed
Lusian - dichotomous data model as a finite sequence of independent Bernoulli trials with, generally speaking, different probabilities of success. The tasks of statistical hypothesis testing, classification, averaging lusians are discussed. In accordance with the requirements of practice the problems are considered primarily in the asymptotic behavior of increasing dimension, in which the number of unknown parameters increases in proportion to the size of data. The method of testing hypotheses on set of small samples and the theory of unbiased statistical estimates were proved to be useful
Is given the analysis of the development of expert estimates in our country after the war. Are presented a diversity of expert technologies, the main ideas and publications that help identify the driving forces of development in this promising scientific and practical field
The article discusses a model of rocket motor of
electromagnetic type, consisting of a source of
electromagnetic radio frequency oscillations and the
conical cavity, in which electromagnetic waves are
excited. We have created a multi-dimensional
transient numerical model describing the process of
establishing electromagnetic oscillations in the
resonator, taking into account the finite conductivity
of the walls. Separately, the standing waves in the
cavity with conducting walls have been simulated. It
is shown that the oscillations mode in the conducting
resonator different from that in an ideal resonator,
both in a case of steady and unsteady waves. We have
built a dynamic model taking into account the thermal
conductivity and electrical conductivity of the walls,
waves and particles emission and vacuum
polarization. We have also developed a dynamic
model enables to optimize a thrust force on a
considerable number of parameters without the
involvement of the hypotheses about the physics of
the phenomenon. We run the optimization of the
operating parameters of the device, namely by the
excitation frequency, the frequency of the modulating
signal, the magnitude of heat losses of
electromagnetic energy by thermal radiation in the IR
spectrum, the parameters of forced heat transfer and
the temperature dependence of the resistance of the
material of the cavity walls. It is found that the pulse
modulation greatly improves the efficiency of
conversion of electromagnetic energy into thrust. The
mechanism of formation of traction, adjusting the
metrics of space-time, the current contribution of
elementary particles, the Yang-Mills and
electromagnetic fields is proposed. It is shown that
the contribution of the elementary particles in the
thrust force is proportional to the electrical
conductivity of the system multiplied by Abraham
force
The completely closed model of wall turbulence was derived directly from the Navier-Stokes equation. The fundamental constants of wall turbulence including the Karman constant have been calculated within a theory. This model has been developed also for the accelerated and non-isothermal turbulent boundary layer flows. The estimated mean velocity, temperature and impurity concentration profiles as well as the spectral characteristics of the streamwise velocity component are to be shown in a good agreement with the experimental data
We have considered the basic mathematical tools (theorems, methods) which are used regularly in the justification of new results in the field of statistical methods: rules of large numbers, central limit theorems, the necessary and sufficient conditions for the inheritance of convergence, the linearization method, the invariance principle
The work presents the calculation on the basis of magnetic circuits of magnetic field induction in the "water" gaps of the device for activation of water with alternating magnetic field of industrial frequency. We have executed the calculations of magnetic inductance of the coil of the device taking into account the thickness of layers of winding current-carrying wires. This allowed experimentally determining - with reasonable accuracy - the value of the relative permeability of the steel used, housing, necessary for the specified calculation of the device in general