Aleksey Bubenchikov

Simple energy barrier for component mixture of natural gases

This paper investigates the ability of a test molecule to overcome the energy barrier being in the gap between spherical nanoparticles. Three particles make a primitive structural element of composite porous material. The ability of molecules to converge with nanoparticles and then to move through more powerful repulsion field defines the filtration properties of porous materials. This paper presents the investigation of carbon nanoparticles and molecules of helium and methane bombarding them. Calculations proved that methane molecules can not get through three particles if the gap equals to 3.5 nm. For helium molecules this value makes 1.02 nm. These gaps remain the same when the size of nanoparticles increases. Therefore filters for helium separated from natural gas are to have nanopores within the range from 1.02 nm to 3.5 nm.

Numerical Approach to Solving Problems of Two-Phase Multicomponent Flow in Porous Medium Based on Finite Volume Method

The article describes the numerical approach uniting finite volume method, Newton method and one of the MUSCL-type schemes for convective transport approximation for gas mixture components concentrations displaced by the water out of the porous medium. Numerical and analytical solutions for the case of radial two-dimensional flow of incompressible gas mixture and water have been compared. The obtained results allow considering the offered algorithm to be effective.

Permeability of the regular structure from spherical nanoparticles

This paper presents a theoretical study on permeability of a regular structure composed of twenty spherical nanoparticles of the same size. The numerical solution is constructed using turn-based schemes of higher-order accuracy. The interaction between structure elements and moving molecules is determined by the V.Y. Rudyak and S.L. Krasnolutsky potential. It was found, that the tested model structure has the helium permeability to four times more than for methane.

The mathematical model of the chevron-arch gearing transmitter

The teeth of herringbone transmission wheels are obtained by docking two helical wheels with an opposite arrangement of teeth, which can solve the problem of the axial force. The mathematical model of coupling chevron teeth of the driving wheel in the area of their docking using the arch tooth fragment is developed. The conjugacy area surface of the driven wheel chevron teeth is obtained as the envelope of the surfaces family formed by the arched tooth during the process of the parts motion.

Numerical simulation of oil pool boundary evolution

The study of spatial distribution of hydrocarbon resources and forecasting their geographical location is of great importance for the most complete recovery of hydrocarbons from deposits. The present study gives new mathematical results in the theory of stratified fluid flow in a porous medium. This paper analyzes the evolution of oil pool boundary basing on vortex numerical model for movement of the boundary separating fluids of different densities. It presents the investigation of how the location of light fluid regarding the heavier fluid influences on the changes in the boundary between two media in case of various shifting of the well.

A Simple Method for Solving Dynamic Problems of Robotics

In this paper we find a general solution for the action function in the case of a heavy point moving on a sphere using the method of separation of the Hamilton-Jacobi equation variables. The solution contains two constants: the energy of a material point and the momentum projection onto a horizontal direction. We analyze the modes of a spherical pendulum oscillation. It is shown that the solution does not contain any errors of accumulation which are characteristic for evolution problems with long prediction periods.

Mathematical Modelling of Methane-Air Combustion in a Channel with a Porous Axial Insert

In the paper we construct a mathematical model of turbulent flow, combustion and heat transfer in an axisymmetric chamber with an axial zone of a compacted particulate material. The averaged equations written using the model of interacting and interpenetrating continua contain diffusion equations of individual components, the energy equation for the gas and the porous structure, the motion equation for a mixture of gaseous components, as well as the equation of the turbulence model. This system is closed by the equations of continuity and condition of the mixture. In the flow, an irreversible chemical reaction of stoichiometric mixture of methane and oxygen proceeds. Numerical study of porosity influencing the nature of turbulent combustion is conducted.