Vol. 8, no. 3, 2024

OMSK SCIENTIFIC BULLETIN. SERIES «AVIATION-ROCKET AND POWER ENGINEERING»

CONTENTS

POWER AND CHEMICAL ENGINEERING  

B. A. Kalashnikov, V. V. Bokhan, V. E. Smolko
Experimental and theoretical study of the features of the amplitude-frequency response
features of the anharmonic Duffing oscillator
DOI: 10.25206/2588-0373-2024-8-3-13-20
In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by
viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized
system with respect to the square of the frequency and the square of the amplitude. Approximate dimensionless
expressions for amplitudes and their corresponding frequencies at the bifurcation points are proposed. The
comparison of experimental and theoretical amplitudefrequency characteristics and their values at these points
is given.

Keywords: Duffing oscillator, degree of nonlinearity, harmonic linearization, relative attenuation coefficient,
amplitude-frequency response, amplitude and frequency of bifurcation points, jump points.

13-20













V. L. Yusha, S. S. Busarov, A. V. Nedovenchany
The assessment of applicability of single-stage piston long-stroke low-speed compressors
in low-temperature refrigeration machines
DOI: 10.25206/2588-0373-2024-8-3-21-28
The work processes and integral characteristics of low-temperature ammonia single-stage piston longstroke
low-speed compressors are considered. A method for calculating the actual working process of a stage of such
a compressor is presented, taking into account such basic factors as the processes of non-stationary heat transfer
between the working fluid in the cylinder and the external cooling medium; processes of flow of the working
fluid through leaks in valves and in seals of the cylinder-piston group; dynamics of motion of the shut-off valve
body, etc. The flow coefficient, cooling coefficient, and discharge temperature are considered as integral indicators.
The following independent parameters are considered: condensation and boiling temperatures, the main
dimensions and parameters of the stage, the temperature of the cooling medium and the heat transfer coefficient
on the outer surface of the cylinder, as well as the diameters of the suction and discharge valve seats. A comparative
analysis of the efficiency of the working process of the considered stage is performed at a condensation temperature
of 303 K and boiling temperatures in the range from 243 K to 173 K. The relationship between the main dimensions
and parameters of the stage, as well as the boiling point of ammonia with the integral characteristics of the
compressor under consideration, has been studied. The obtained results of the theoretical analysis make it possible
to evaluate the possibility of replacing multi-stage and cascade low-temperature refrigeration compressors with
alternative single-stage ones based on a low-speed, long-stroke stage as promising.

Keywords: piston refrigeration compressor, ammonia, low-temperature mode, low-speed long-stroke stage,
operating processes, mathematical modeling, coefficient of performance.


21–28






















V. L. Yusha, M. A. Sutyaginskiy, Yu. A. Potapov, G. S. Russkikh
Adaptation of the performance control system of a technological piston hydrogen
compressor to unstable operating conditions
DOI: 10.25206/2588-0373-2024-8-3-29-35
Issues related to possible problems of the feasibility of operating the existing system for regulating the
performance of a technological piston hydrogen compressor at a large chemical production and the relevance
of its modernization are considered. In practice, modernization is one of the options for implementing
import-substituting technologies in relation to equipment operated at large chemical, oil and gas processing
enterprises. Technical and economic factors are accepted as the dominant prerequisites; as an alternative to the
existing control system by squeezing the valves for part of the piston stroke, a control technology is chosen by
changing the value of the dead volume in the working chamber of the cylinder. The presence of significant
uncertainty factors in the implementation of known methods for calculating the productivity losses of the actual
working process in the stage of a piston compressor has led to the need to perform variant calculations. The
implementation of this approach ensured high convergence of the results of calculations and industrial tests and
made it possible to clarify the value of the conditionally constant polytropic index of the final parameters,
applicable for similar calculations of the object under consideration. Recommendations for the design of piston
compressors with variable capacity are presented.

Keywords: piston compressor, hydrogen, capacity control, valve pressing, dead volume change, capacity,
discharge temperature.


29–35




















A. D. Vanyashov, V. V. Karabanova, A. A. Nefedov
Evaluation of the prospects for the use of single-stage centrifugal compressors based
on high-pressure stages with an inlet guide device at linear gas compressor stations
DOI: 10.25206/2588-0373-2024-8-3-36-45
The issues of evaluating the technical and economic prospects for the use of gas pumping units with single-stage
centrifugal compressors with an axial suction nozzle, created on the basis of high-pressure stages with axial
impellers and an adjustable inlet guide device, at linear gas compressor stations are considered. A brief description
of the methodology for recalculating tests of a small compressor stage performed in air for working conditions
as part of a gas compressor station is given. A comparative assessment of the competitiveness of the proposed
compressor type with existing types of compressors in two-stage design has been performed.

Keywords: centrifugal compressor, inlet guide device, axial radial impeller, gas dynamic characteristics,
gas pumping unit, compressor station, gas transmission system.

36–45












A. A. Raykov, A. A. Isaev, A. V. Burmistrov
Mathematical modeling non-contact external compression pumps with different
molecular weights gases 
DOI: 10.25206/2588-0373-2024-8-3-46-52
A distinctive feature of Roots type vacuum pumps is the selective of pumping, which is due to the dependence
of reverse flows on the type of gas. To study this phenomenon, a mathematical model of the work process is
used, based on solving differential equations of a system with variable mass. Comparisons of the experimental
and calculated values of pumping speed and pressure increase for helium, argon and air show a discrepancy of
no more than 10 %. Calculations have shown that under viscous flow conditions, switching from pumping
argon to helium reduces pumping speed by more than 10 % and pressure increase by 50 %.

Keywords: selective pumping, pumping speed, conductivity, backflows, Roots vacuum pump, channels
conductivity, mathematical model.

46–52












A. F. Sarmanaeva, N. V. Sokolov, O. Yu. Paranina, V. V. Kuzovov, Yu. V. Sidorova,
I. S. Davletshin, I. N. Lotfullin, M. V. Korshunov
Problematic issues and ways to solve them during reverse engineering of
compressor design units
DOI: 10.25206/2588-0373-2024-8-3-53-60
A significant part of the compressor fleet in Russia consists of foreign-made centrifugal and screw compressors,
which, with operating time and depreciation, require repair according to regulations or modernization due to
changed technological operating conditions. The supply of spare parts needed for repairs has become more
complicated due to the rise in cost or lack of logistics. This leads to the problem of maintaining the compressor
equipment in working order or its downtime. The manufacture of spare parts is problematic due to the lack of
design documentation from operating organizations. The offer of reverse engineering services for spare parts
and compressor assemblies by specialists of JSC «NIIturbocompressor n. a. V. B. Shnepp» makes it possible to
improve and solve the problem of maintaining the effective condition of foreign equipment. At the same time, the
article describes the problems that arise during reverse engineering of rotors of centrifugal and screw compressors,
the spatial profile of impellers and fluid film bearings. The main points contributing to the successful completion
of reverse engineering tasks are indicated, the accuracy of 3D scanning is determined, and methods for setting
nominal dimensions and deviation tolerances are presented.

Keywords: compressor, equipment replacement, reverse engineering, 3D-scanning accuracy, compressor rotor,
impeller, journal and thrust plain bearings.

53–60



















O. A. Solovyeva, I. S. Sharikov, N. I. Sadovsky
The influence of reality gas calculation methods on the gasdynamic characteristics of a
gas pumping unit centrifugal compressor
DOI: 10.25206/2588-0373-2024-8-3-61-68
When designing compressors, it is necessary to take into account the reality of the working fluid, since when
calculating the compressor using ideal gas models, strong deviations of the operating parameters from the
calculated ones occur, which can lead to non-fulfillment of the technical specifications, as well as to the
formation of non-stationary processes. The correct choice of the gas reality accounting methodology allows us
to bring the calculated data as close as possible to the experimental ones. Thus, the choice of the most accurate
method of accounting for the reality of gas makes it possible to predict the experimental characteristics of the
designed compressor even before conducting physical tests. There are many methods that allow us to take into
account the reality of gas, namely, to calculate the compressibility factor using empirical formulas. In this paper,
a comparison of four methods is presented, and the calculation of a centrifugal compressor is performed taking
into account the values of the compressibility factor obtained according to these methods. The calculated gas
dynamic characteristics are compared with experimental data and discrepancies are revealed at different rotor
speeds.

Keywords: ideal gas, compressibility factor, methane, adiabatic coefficient, natural gas, gas reality, centrifugal
compressor.
61-68


















E. V. Filimonov, L. N. Marenina, A. A. Drozdov, N. I. Sadovsky
Experience of applying 3D-scanning and CFD calculations to study and optimization
the flow in the impeller of a multi-shaft centrifugal compressor
DOI: 10.25206/2588-0373-2024-8-3-69-79
The paper presents an analysis of semi-open centrifugal impellers of a three-stage multi-shaft compressor.
A 3D-scanning of the geometry of the impellers is carried out, a CFD calculation is carried out at the design
operating mode of the compressor, and the results obtained are analyzed. Problems have been identified with
the second stage impeller. Next, the geometry of all three impellers is optimized using Ansys CFX software,
an improvement in efficiency and an improvement in the flow pattern are obtained.

Keywords: centrifugal compressor, impeller, computational gas dynamics, efficiency, optimization, loss coefficient.
69-79









AVIATION AND ROCKET-SPACE ENGINEERING

I. Yu. Lesnyak
Experimental investigations of opening leaks in a welded seam of a closed container under
thermal and acoustic influences
DOI: 10.25206/2588-0373-2024-8-3-80-89
To conduct experimental investigations of the drying process of a closed container, taking into account the
opening of a leak channel in a weld, an experimental research stand, an experimental container and
experimental samples with model leaks of different sizes are designed and manufactured. The scientific
problem of experimental research has been formulated, a program and methods for conducting experiments
have been developed. Requirements for metrological equipment have been formed and the measurement
error of temperature, humidity and pressure has been determined. Preliminary experiments are carried out
on wetting the experimental container and experimental samples with a model liquid and clogging the leak
channels, as well as on drying the inner surface of the experimental container wall with a convective gas
flow and conductive heating of the wall until the leak channels clogged with liquid are opened. The
dependences of the change in temperature of the liquid, air, wall of the experimental container, experimental
samples and pressure in the experimental container are obtained over the time of the experiment during
wetting and drying of the experimental container and experimental samples. The parameters of thermal
exposure at which the leak channels is opened within a specified time are determined.

Keywords: leak channel, container drying, experiment, ultrasound, low pressure, capillary.

80-89



















R. A. Peshkov, A. S. Shmetkova, O. V. Ispravnikova, Ju. L. Suskina
The analysis of the influence of the turbulence model selection on the
parameters of interaction of a supersonic jet with an obstacle
DOI: 10.25206/2588-0373-2024-8-3-90-97
Due to the intense loading of the elements of launch structures when exposed to rocket engine jets, it is
obvious that it is necessary to determine the gas-dynamic, thermal and other loads that occur during the
launch of the launch vehicle. Numerical modeling using application programs is one of the widely used
methods of their calculation, since physical modeling requires significant resources. The study analyzes
the case of interaction of a single supersonic gas jet with a flat barrier oriented perpendicular to the
direction of the jet. Differential equations describing the motion of a compressible viscous heatconducting
gas (Navier-Stokes equations) are presented, and a method for averaging them by Reynolds is described.
Some one- and two-parameter turbulence models based on Reynolds equations are considered. A numerical
simulation of the flow of a supersonic jet of air from a Laval nozzle onto a flat aluminum barrier located
perpendicular to the axis of the jet is carried out. The ANSYS Fluent software package is used to analyze
the effect of choosing a turbulence model on the distribution of the Mach number and pressure on the
barrier. A comparison of the results of the study with experimental data showed that the most accurate
results are obtained using the k-ω SST turbulence model.

Keywords: supersonic jet, gas dynamics, jet-barrier interaction, turbulence models, turbulent flow,
ANSYS Fluent.

90-97



















V. A. Urbansky, A. A. Petruk
Theoretical and experimental studies of the influence of gas flow parameters
on the entrainment of liquid droplets from an experimental vessel
DOI: 10.25206/2588-0373-2024-8-3-98-106
On the basis of mathematical modeling, the values of velocities above the liquid surface in the experimental
vessel are obtained to ensure the condition of droplet detachment and entrainment. The program of physical
experiments on the entrainment of liquid droplets from experimental vessel is developed. Physical modeling
of liquid droplets entrainment from experimental vessel is carried out, which showed that the separated mass
of liquid significantly depends on the parameters of the gas flow at the inlet to experimental vessel (temperature,
flow velocity). At the temperature of the inlet gas flow equal to 20 °C the percentage of separation ts 62 %,
at 30 ºC — 69 %, at 35 ºC — 70 %, at 40 ºC — 78 %.

Keywords: centrifugal separator, liquid droplets, gas flow velocity, similarity criteria, gas flow
parameters, two-phase flow, liquid droplet entrainment, passivation.

98-106











     

V. V. Fedyanin, V. V. Shalay, P. S. Yachmenev, I. S. Vavilov
Development of a stand for measuring thrust of micro-jet thrusters based
on machine vision
DOI: 10.25206/2588-0373-2024-8-3-107-115
In the presented work, the issues of measuring the thrust force of spacecraft thrusters are considered. A program
for determining the thrust force based on machine vision has been developed. A mathematical model of the
mechanical part of the stand has been compiled. Numerical modeling of the compiled system of equations is
carried out. The simulation results are processed using the developed program. The relative error of misalignment
is no more than 5 %. Field experiments are carried out and the thrust levels of the ion thruster are measured. A
comparative analysis of the experimental results obtained with a mathematical model is shown. Experimental
studies have been conducted to determine the thrust of a prototype arcjet thruster using a stand based on machine
vision and using a stand based on a displacement sensor. The discrepancy in the results of the
thrust force is  5,6 %.

Keywords: ion thruster, arcjet thruster, jet thruster, thrust measurement stand, small spacecraft, machine vision.

107-115














A. B. Yakovlev
Mathematical description of the processes in the pumping system for
supplying fuel to the combustion chamber of a liquid rocket engine
DOI: 10.25206/2588-0373-2024-8-3-116-122
The article considers a mathematical model of a pumping system for supplying fuel to a liquid rocket engine
chamber consisting of active and passive parts of a hydraulic system. A differential equation describing the
processes occurring in the fuel supply system is obtained. The mathematical model makes it possible to analyze
and identify the main patterns of influence of the control and disturbing quantities on the controlled quantity,
as well as to obtain transients.

Keywords: dynamic processes, liquid rocket fuel, fuel pump, nozzle head, fuel lines, active part
of the hydraulic system, passive part of the hydraulic system, transition process.
116-122










E. S. Fisenko
Review of certification methods for unmanned aircraft
DOI: 10.25206/2588-0373-2024-8-3-123-127
Certification of high-tech products, such as unmanned aircrafts, occupies a sufficient part of time and material
resources for developers and manufacturers, which inevitably leads to the slowdown of production output.
The article analyzes the methods of certification of unmanned aircrafts existing at the moment in some countries.
It also reveals the existing difficulties in obtaining certification and passing tests to obtain it. In order to simplify
the testing, the introduction of digital twin technology as a less resource-consuming procedure is proposed.
This article can be useful both for developers and manufacturers, and certification centers.

Keywords: certification, unmanned aircraft, digital twin, digital model, flight tests, airworthiness.
123-127










MATERIAL SCIENCE AND PROCESSING TECHNOLOGY
E. A. Rogachev, A. A. Kalenchuk
Development of an electrically conductive polymer composite based on linear low-density
polyethylene modified with high-structural carbon black
DOI: 10.25206/2588-0373-2024-8-3-128-134
The developed polymer composites based on low-density linear polyethylene modified with OMCARB CH85
technical carbon have been experimentally investigated. A comprehensive analysis of the composites' properties
has demonstrated that the use of this filler type results in a percolation transition at a 25 % mass fraction of filler,
leading to an decrease in resistivity. Samples with lower concentrations exhibit electrical resistance values
corresponding to those of semiconductors. When the filler concentration reaches 20 %, the maximum material
stiffness is observed, and the character of stretching transitions from ductile to brittle. Electron microscopic
examination of the samples reveals a mesh microstructure of the polymer matrix with embedded carbon black
particles acting as crystallization nuclei. As a result, the mechanical properties and electrical conductivity of the
composite are enhanced.

Keywords: electrically conductive carbon black, linear low-density polyethylene, polymer composites, polymers
composites structure, the mechanical properties of polymer composites, the manufacture of polymer composites,
electron microscopy of polymers.

128-134