The construction of a laboratory-made fully automated resonant apparatus for the modulated force thermomechanical analysis (mf-TMA) is described. The measurement is based on the impulse excitation technique (IET). The apparatus is able to provide the measurements of the resonant frequency, which is a base for determination of Young’s modulus, sound velocity and internal damping during heating up to 1200 °C. An expanded relative uncertainty of the Young’s modulus determination at elevated temperatures is 1.1 %.

Evaporation of a binary mixture is considered. Evaporating component is fermi-gas. The case when collision molecules frequency of evaporating components is proportional to the module of molecular velocity is considered. The analytical solution this problem is received. Dependence of chemical potential jump coefficient on evaporation coefficient is investigated. Concentration evaporating components is supposed much less concentration of bearing gas. Graphic research of coefficient of chemical potential jump is carried out.

It was found that Intermolecular vibrational spectra of Van der Waals dimers, calculated by ab initio methods and consisting of four or six frequencies can be represented in the form of power dependency with zero or close to zero dimension. Materials with such spectra was not known earlier. This shows that the Van der Waals dimers can be seen as a continual environment similar to crystal.

In the framework of the kinetic approach the analytical solution of the problem of the Poiseuille flow is obtained. As the basic equation it is used linearize Williams equation and as a boundary condition on walls of the channel - the model diffuse reflections. Structure of mass speed of gas and mass flux falling to the unit of channel width are calculated. Comparison with the analogous results obtained in the framework of classical hydrodynamics and hydrodynamics with slip is done. Set the limits of obtained expression.

Diphase zone’s scheme is used in the case of limited spectrum spontaneous solid state particles concentration fluctuations. There have been used stationary kinetic equations, describing diphase transitional zone’s structure in the binary melt-crustal system. It has been shown in the case of finite supercoolings region completely disordered crystalline phase was formed. This is within temperature region where according to classical thermodynamics a quite ordered crystalline phase should be grown. This concerns a far order parameter for crystalline binary systems which have simple cubic lattice. It has been shown in the case of full disordering the binary crystalline phase kinetics had peculiarity namely: a mean crystallization velocity of binary crystals did some gap proportional to square degree of the far order parameter.

Investigation of nonstationary diffusiophoresis velocity component on its approximate formulae was carried out for different gases and for spherical particles composed of concrete materials.

The evolution of the non-stationary wide gas-like cloud, expanded into a halfspace, is considered. The analytical formulae of the statistical functions of distributions and density of the cloud are obtained. The analysis and graphical presentation of the obtained formulae are performed.

In this paper, implemented in hardware-software system to evaluate the health and efficiency of the monotonic operator activity of visual-motor tracking a moving object. New data on the mechanisms of fatigue in the human operator tracking process using electronic displays. Health is a generalized graph operator depending on the time of work.

Abstract The analysis of the activities of the human operator when working with electronic means of information as the "man-machine-environment". It is shown that the operator's efficiency depends largely on its ability to process information. We propose an innovative approach to solving the problem of information and coordination of the technical system operator, when combined with the assessment of technical parameters display means made control and optimization of visual load of the operator. New data on the mechanisms of visual fatigue of the human operator in the process of working with electronic displays.

The weakly nonlinear variant of the wave model of the developed turbulent boundary layer is considered. Dispersion properties of the least damping Tollmien-Schlihting waves are defined and conditions of 3-wave resonance existence are given. Equations for the coherent and the stochastic part of the pulsations are received by the multiscale method.

For the one-dimensional linear kinetic equation the analytical solutions of problems about temperature jump and weak evaporation (condensation) over flat surface are received. The equation has integral of collisions BGK (Bhatnagar, Gross and Krook) and frequency of collisions of molecules, affine depending on the module molecular velocity.

This article was devoted to the basic methods of the solution of problem solving exercises with parameters. It is shown that the range of methods, which student is able to acquire, depend on his level of training and profile of the school. The author considers it necessary to emphasize that in no event it is impossible "to pull out" of certain methods and specially selected examples to show the advantages of using this or that method. It is very important that the student took the tasks of these two classes as something indivisible and mutually reinforcing. Such a combination seems to us particularly important because it loses is the Foundation that was laid by our ancestors-mathematicians.