Bulletin of Dnipropetrovsk University. Series: Mechanics

3-10

Authors: A. Yu. Godes, V. V. Loboda

A problem concerning definition of stresses and displacements in the elastic plane with a circular inclusion and an arc crack at the media interface is considered under the loading applied at infinity. Mathematically this problem is reduced to the problem of linear relationship for the analytical function of complex variable. The analytical expressions for stresses in any point of medium, crack opening the stress intensity factors are found.

17-25

Authors: V. I. Eliseev, Yu. P. Sovit, A. P. Tolstopyat, L. A. Fleer

For modeling of amplitude-frequency characteristics of the liquid in the bath when gas, a simple mathematical model of pressurization and destruction tuyere bubble is proposed. Amplitude-frequency characteristics are obtained. It is shown that the frequency spectrum is a reflection of a variety of dynamic processes associated with the fluctuation margin and bubbles.

35-51

Authors: Yu. V. Brazoluk, D. V. Evdokimov, N. V. Polyakov

On the base of simplicity of Green's functions and inverse matrices in boundary element method, it is proposed an algorithm, which generalizes Blokh-Ginevskiy's method and gives an opportunity to effectively, numerically solve boundary-value problems for Laplace equation in multiconnected complex geometrical shape domains. The proposed algorithm can be applied for numerical solution of hydrodynamic interaction problems.

63-80

Authors: D. A. Redchic, O. B. Polevoy, S. V. Moiseenko

Based on a physical model of the dielectric barrier discharge, a mathematical model which describing the transient electric and aerodynamic processes in the operation of the plasma actuator was built. The possibility to reduce the drag coefficient of the cylinder using plasma actuators by suppressing Karman vortex street was shown. This approach is applicable to the simulation of the dynamics of low-speed gas and liquid flows in the presence of an electrostatic field.

86-94

Authors: V. I. Eliseev, A. P. Tolstopyat, L. A. Fleyer

Based on observations of the dynamics of education in the area of pop bubbles in the tuyere gas volume, the dependence of the frequency of the job specified by the gas flow. The obtained dependence qualitatively and quantitatively in good agreement with literature data.

105-112

Authors: E. V. Semenenko, N. A. Nikiforova, L. G. Tatarko

New relations for parameters of hydrotransport based on the analyze of the some author’s experimental base and methodics of calculation, providing adequacy fraction sorting of particles, in one time taking into account their hydraulic size with grate differences between density of some particles classes are presented.

118-125

Authors: T. I. Rusakova, N. N. Belyaev, V. I. Karpluk

The task solved for pollutants in the street for the layout the buildings of the type "street canyon". In this work constructed an efficient numerical model for the prediction of air quality in the streets when emissions from automobile transport. The model is based on the solution of hydrodynamic task where was used the method of discrete vortices and on the solution to the task mass transfer of gas dissipation of emissions from automobile transport. The results of numerical calculations presented. The model is the possibility for rapid calculation of dissipation emissions in the street using the chemical reactions pollutants (nitrogen oxide and nitrogen dioxide).

134-146

Authors: V. A. Katan

The problem of the impact of incompressible fluid and the sloping plate on free surface is considered. The solution is received as a result by the Keldish-Sedov’s problem.

155-163

Authors: N. N. Belyaev, N. V. Rostochilo, A. Yu. Chornaya

A model to estimate the effectiveness of the local shields to protect buildings in the case of the pollutant dispersion in the atmosphere was developed. The model is based on the pollutant dispersion equation and the model of the potential flow. To solve the model equations the difference schemes are used.

168-178

Authors: N. N. Belyaev, D. O. Zatynaychenko

A 2-D model to simulate the ions regime in the rooms was developed. The model is based on the ion dispersion equations and the model of the potential flow. To solve the model equations the difference schemes are used.

185-191

Authors: T. S. Zelenskaya

The mathematical model of longitudinal vibrations arising in the main ropes for load-lifting mechanisms, showing the dynamic field of displacements and stresses in the random section of the rope, which is wound on a drum. A formulation of the boundary value problem for steel rope with a constant cross section.