VOLUME 85, NUMBER 4

HEAT AND MASS TRANSFER IN DISPERSED AND POROUS MEDIA

FLOW AND MOTION OF CONDENSED-PHASE PARTICLES IN THE PRENOZZLE SPACE OF SOLID-PROPELLANT ROCKET MOTORS

K. N. Volkov,^a V. N. Emel’yanov,^b and I. V. Kurova^b

UDC 532.529

The flow of an inviscid liquid containing condensed-phase particles around the recessed nozzle of the solidpropellant rocket motor has been considered. To take into account the complex geometry of the prenozzle space of the rocket motor, the equations describing the liquid flow were written in a curvilinear coordinate system. The paths of solid particles were calculated in the known liquid flow field. The quality criteria of the meshes constructed with the use of different approaches have been compared. The results of the calculations permit determining the limit path of particles dividing the flow region into two subregions, one of which is occupied by particles and the other is free from condensed-phase particles. Keywords: solid-propellant rocket motor, particle, prenozzle space, injection.

PAGE 723

THERMOMECHANICS OF A GRANULAR-BED
HEAT EXCHANGER
Yu. S. Teplitskii, V. L. Malevich,
D. G. Belonovich, and M. V. Vinogradova
UDC 532.5
Based on the concept of a heat-releasing granular bed, the dependence of the resistance of tube and ring
granular-bed heat exchanges on their structural and regime parameters has been studied with allowance for
the joint influence of pressure and temperature on the density and viscosity of a gaseous heat-transfer agent.
Procedures of calculation of the outlet temperature of the heat-transfer agent and the critical height of the
heat exchanger have been developed.
Keywords: tube heat exchanger, ring heat exchanger, granular bed, resistance of the bed, heat-transfer agent,
outlet temperature, critical height of the heat exchanger, particle diameter.

PAGE 732

ON CALCULATION OF ACTIVE HEAT INSULATION
Yu. S. Teplitskii,a E. A. Pitsukha,b
and D. G. Belonovicha
UDC 532.5
A theoretical-experimental study has been made of thermal processes in a blown bed of a dispersed material
which is part of active heat insulation. The dependence of the outlet gas temperature on the governing factors
has been revealed. An engineering procedure for calculating active heat insulation has been developed.
Keywords: heat insulation, blown dispersed bed, air heater, radiant heating, two-temperature model.

PAGE 739

CONCERNING FREE CONVECTION IN A HEAT-RELEASING
GRANULAR BED IN THE PRESENCE OF A FIRST-ORDER
PHASE TRANSITION
Yu. S. Teplitskii and V. L. Malevich UDC 532.5
Based on the earlier obtained results pertaining to the investigation of filtration cooling of a heat-releasing
granular bed in the presence of a first-order phase transition under the conditions of forced convection, simulation
of the process in the presence of free convection of heat carrier was made. An interpolation relation
for calculating the minimum value of heat release has been obtained.
Keywords: free convection, heat-releasing granular bed, first-order phase transition, simulation.

PAGE 748

CALCULATION OF FILTRATION
FROM CANALS AND IRRIGATORS
E . N. Bereslavskii

UDC 532.546
Some schemes of the steady plane filtration from canals and irrigators through a soil layer underlain by a
pressure highly permeable water-bearing horizon or an impermeable base in the presence of the ground capillary
and evaporation from the free surface of the underground water were considered. The filtration water
flows in these schemes were investigated by solving the mixed multiparametric boundary-value problems of the
theory of analytical functions with the use of the Polubarinova-Kochina method. On the basis of the models
proposed, algorithms have been developed for calculating the sizes of the saturation zone and the rate of the
filtration water flow in a canal and an irrigator with account for the ground capillary, the evaporation from
the free surface of the underground water, the water depth in the canal, and the upthrust formed by the water
in the underlying well-permeable horizon or the water on the impermeable base. The results of calculations
carried out for schemes with identical filtration parameters were compared depending on the shape of the bed
of the water source (a canal or an irrigator) and on the type of the soil-layer base (a well-permeable waterbearing
horizon or a confining layer).
Keywords: filtration, canal, irrigator, ground water, underground water, ground capillarity, evaporation, upthrust,
complex flow velocity, conformal mapping, Polubarinova-Kochina method.

PAGE 752

ANALYTICAL AND NUMERICAL SOLUTIONS
OF RADIAL COUNTERCURRENT CAPILLARY
IMBIBITION
E. M. Lobanov

UDC 532.546
Consideration has been given to the spontaneous countercurrent capillary imbibition of a wetting phase
(water) into a cylindrical sample of a porous medium. Two periods of such imbibition have been investigated.
A radial-imbibition model has been proposed for the initial period; the analytical solution of the model based
on the self-similar solution for one-dimensional imbibition has been proposed. For the initial and final periods
of the imbibition in question, time dependences of its volume have been obtained. Calculation of the imbibition
indices for a sandstone sample has been performed on the grid model. Saturation and pressure
profiles in the phases for different imbibition times have been constructed from the data obtained. Numerical
calculations have confirmed the correctness of the analytical solution and of the time dependences proposed.
Keywords: hydrodynamic modeling, two-phase filtration, capillary phenomena, imbibition, self-similar solutions
of nonlinear equations, evaluation of parameters.

PAGE 764

NANOSTRUCTURES

SIMULATION OF THE SPIN PROPERTIES
OF THE 13C ATOMS NEAREST TO THE SINGLE
[NV]− CENTER IN A NANODIAMOND
BY THE DENSITY-FUNCTIONAL METHOD
V. A. Pushkarchuk,^a S. Ya. Kilin,^b A. P. Nizovtsev,^b
V. E. Borisenko,^a A. B. Filonov,^a A. L. Pushkarchuk,^c
and S. A. Kuten’^d
UDC 535.35
A quantum-chemical simulation of the spin properties of diamond nanocrystals with [NV]− centers passivated
with hydrogen atoms has been carried out. The concrete atoms from the nearest and farthest surroundings of
the [NV]− center, which contribute to the formation of the spin density causing hyperfine splitting, were determined.
Keywords: quantum-chemical simulation, spin properties, nanodiamond, nitrogen atom, vacancy.

PAGE 777

FULLERENES IN MATRICES OF DIFFERENT SUBSTANCES
P. A. Vityaz’^a and E′. M. Shpilevskii^b UDC 539.2
Techniques for obtaining fullerene-containing materials based on metals and semiconductors, and also on
polymers and ceramics, have been developed. It has been shown that fullerenes, on introduction into the matrices
of different substances, produce substantial changes in their structure and properties. In some cases
fullerenes act not only as the components of composite materials but also as the reagents of chemical reactions
in obtaining new substances.
Keywords: fullerene, fulleride, ferrocene, carbon nanoparticles, composite material.

PAGE 780

LASER SYNTHESIS AND INVESTIGATION
OF THE SPECTRAL-MORPHOLOGICAL
CHARACTERISTICS OF AQUEOUS COLLOIDS
OF NOBLE METALS (Ag, Au, Pt)
V. K. Goncharov, K. V. Kozadaev,
and D. V. Shchegrikovich
UDC 621.373.826.004.14
Methods for forming and diagnosing the parameters of aqueous colloids of noble metals (Ag, Au, Pt) have
been developed. We propose to use laser synthesis for obtaining nanosized objects of the above metals in the
atmosphere and form colloidal systems of these metals by embedding their ultradisperse particles in aqueous
media. We recommend to investigate the parameters of these systems with the use of a combination of direct
(scanning electron microscopy, excitation of characteristic radiation by an electron probe) and indirect (absorption
spectroscopy, modeling of the extinction efficiency factor on the basis of the Mie theory) diagnostic
techniques.
Keywords: laser synthesis of nanoparticles of metals, noble metals, metallic colloid, scanning electron microscopy,
absorption spectroscopy, surface plasma resonance, extinction efficiency factor, Mie theory.

PAGE 788

INFLUENCE OF DIFFUSION ON THE CLEANING
OF THE CVD REACTOR ATMOSPHERE
Yu. A. Stankevich and S. P. Fisenko

UDC 536.423
The problem of displacement of a gas impurity from a cylindrical reactor by a laminar flow is solved numerically.
Engineering equations for calculating the time of displacement are obtained. The results of the work
can be applied in developing the technology of producing carbon tubes by the CVD method and in closely
related problems.
Keywords: CVD method, radial diffusion, nanotube, FLUENT, characteristic time of diffusion, degree of cleaning.

PAGE 794

THERMAL DESTRUCTION AND DEFECT FORMATION
IN POLYMERIC FULLERENE-CONTAINING NANOCOMPOSITES
A. L. Pushkarchuk,^a A. O. Pozdnyakov,^b,c
A. A. Konchits,^d and I. B. Yanchuk^d
UDC 535.35
The influence of the oxygen entering into the composition of complexes of polymethyl methacrylate with fullerene,
the oxygen entering into the composition of the oxygen-containing carbonyl group of polymethyl
methacrylate, and the unbound O2 on the processes of thermally induced defect formation in the polymethyl
methacrylate–fullerene system and on the photoluminescence properties of this composite was investigated.
Keywords: polymethyl methacrylate, fullerene, thermal destruction, defect formation, photoluminescence
properties.

PAGE 836

HEAT CONDUCTION AND HEAT TRANSFER IN TECHNOLOGICAL PROCESSES
PROBLEM ON THE TEMPERATURE FIELD
IN AN ANISOTROPIC BED WITH SOURCES
IN THE PRESENCE OF CONVECTION
A. I. Filippov, O. V. Akhmetova,
and I. F. Kabirov
UDC 532.517.2
Consideration has been given to the problem on the temperature field created by sources that are lumped in
an anisotropic bed with a heat-conducting medium around when the liquid in this bed moves steadily in the
radial direction. An "exact-on-average" asymptotic method was used for solution of this problem. Analytical
solutions have been obtained for the zero approximation and the first expansion coefficient. It has been determined
that the problem for the remainder term has a trivial solution.
Keywords: heat-conducting medium, steady-state regime, filtration, temperature, "exact-on-average" asymptotic
method.

PAGE 802

SOLUTION OF THE INVERSE HEAT CONDUCTION PROBLEM
FOR CONTROLLING AND MONITORING TEMPERATURE
FIELDS IN A LAYER OF DISPERSED PRODUCT
A. A. Shevtsov, I. O. Pavlov,
E. V. Voronova, and D. A. Britikov
UDC 664.723.681.51
A mathematical model of data transmission from the site of self-warming in a dispersed system with distributed
parameters is suggested which allows one to perform systematic calculations of the parameters of the
process of heat propagation in a silo tower. The inverse heat conduction problem is solved allowing one, by
using information signals on the current temperature of a granular bed, to promptly guard against the occurrence
of local sites of self-warming under conditions of grain storage.
Keywords: grain, storage, self-warming, heat source, temperature field, mathematical model, silo tower.

PAGE 820

MATHEMATICAL SIMULATION OF CONVECTIVE-RADIATIVE
HEAT TRANSFER IN A VENTILATED RECTANGULAR CAVITY
WITH CONSIDERATION OF INTERNAL MASS TRANSFER
M. A. Sheremet and N. I. Shishkin UDC 536.24
Mathematical simulation of the nonstationary regimes of heat-and-mass transfer in a ventilated rectangular
cavity with heat-conducting walls of finite thickness in the presence of a heat-generating element of constant
temperature has been carried out with account for the radiative heat transfer in the Rosseland approximation.
As mechanisms of energy transfer in this cavity, the combined convection and the thermal radiation in the gas
space of the cavity and the heat conduction in the elements of its fencing solid shell were considered. The
mathematical model formulated in the dimensionless stream function–vorticity vector–temperature–concentration
variables was realized numerically with the use of the finite-difference method. The streamline, temperature-
field, and concentration distributions reflecting the influence of the Rayleigh number (Ra = 104, 105,
106), the nonstationarity (0 < τ ≤ 1000), and the optical thickness of the medium (τλ = 50, 100, 200) on the
regimes of the gas flow and the heat-and-mass transfer in the cavity have been obtained.
Keywords: numerical analysis, combined convection, heat-and-mass transfer, solid walls, radiation.

PAGE 828

THERMAL MODEL OF THE LIMITER DIODE
A. Z. Rakhmatov,^a O. A. Abdulkhaev,^b
A. V. Karimov,^b and D. M. Yodgorova^b
UDC 621.383.4/5.029.674:621.315.592.2
This paper considers thermal models of the voltage limiter in the regime of turning on and applying pulse
voltage that permit determining the temperature of the depletion region of the p–n junction at any moment of
the external pulse acting on the limiter diode, as well as the maximum temperature in the crystal.
Keywords: limiter diode, temperature of the depletion region of the p–n junction, diffusion, heat flow, temperature
potential, pulse.

PAGE 836

MOBILE PLASMA PLANT FOR
DESTRUCTION OF TOXIC WASTES
A. L. Mosse′, A. V. Lozhechnik,
G. E′. Savchenko, and V. V. Savchin
UDC 504.064.4;658.567
A pilot mobile plasma plant for processing toxic wastes of different origin has been developed and constructed.
Technologies of processing and destruction of model mixtures of reactive masses and waste water
settlings have been tested.
Keywords: mobile plant, toxic wastes, testing of technologies.

INVESTIGATION OF THE HEAT TRANSFER PROCESSES
UNDER THE ACTION OF PULSE POWER
O. A. Abdulkhaev, D. M. Yodgorova,
A. V. Karimov, A. A. Karimov, and G. O. Asanova
UDC 621.383.52:535.243
The temperature of the rectifying metal–p-region junction and the p–n+ junction and the temperature difference
between the p–n junction and the diode case have been estimated experimentally. The dependence of the
temperature difference between the diode case and the thermostat on the heat pulse power has also been investigated.
It has been shown that the heat exchange of thermal conduction in the p+–p–m structure occurs
via the m + Ag layer, in the epitaxial p+–n–p+ structure it occurs through the n+Si + Ag layer, and in the
diffusion p+–n–p+ structure through the ndifSi + n+Si + Ag layers, which should be taken into account in calculating
the thermal resistances of diodes.
Keywords: p–i–n diode, microwave diode, junction temperature, case temperature, epitaxy, diffusion.

HEAT AND MASS TRANSFER IN COMBUSTION PROCESSES

STUDY OF SWIRLING GAS-DISPERSED FLOWS IN VORTEX
CHAMBERS OF VARIOUS STRUCTURES IN THE PRESENCE
AND ABSENCE OF COMBUSTION
E . P. Volchkov,^a N. A. Dvornikov,^a
V. V. Lukashov,^a V. A. Borodulya,^b
Yu. S. Teplitskii,^b and E. A. Pitsukha^c
UDC 532.529
Consideration is given to swirling gas-dispersed flows in the cylindrical combustion chamber with a lateral
swirler, in the conical combustion chamber with a nonflow bed of a dispersed material, and in the cylindrical
combustion chamber with lower end injection of the gas through a slot swirler.
Keywords: vortex chamber, swirling flow, fluidized bed, combustion.

INCREASE IN THE RATE OF FUEL COMBUSTION
ON ADDITION OF NANOSIZED CARBON PARTICLES
S. V. Shushkov,^a T. N. Genarova,^a V. V. Leshchevich,^a
O. G. Penyazkov,^a S. V. Gusakova,^b A. S. Egorov,^c
M. I. Govorov,^c and Yu. A. Prismotrov^d
UDC 662.612+620.3
Nanosized carbon fuel additives were formed by ultrasonic crushing of graphitized films or by subjecting
ethanol to an electric discharge. The obtained specimens of fuel were tested on a setup for rapid adiabatic
compression. Under conditions of ultrasonic dispersion, a wide spectrum of particle sizes was observed,
and their influence on the characteristics of combustion turned out to be insignificant. When
ethanol was treated by an electric discharge, spherical or plane carbon nanoclusters and various transient
shapes, as well as liquid components, were synthesized. The resulting fuel displayed a substantial increase
in the rate of combustion.
Keywords: hydrocarbon fuel, electric discharge treatment, nanocarbon clusters, setup for rapid adiabatic compression.

SENSITIVITY OF COMBUSTION AND IGNITION
CHARACTERISTICS OF THE SOLID-FUEL CHARGE
OF THE MICROELECTROMECHANICAL SYSTEM
OF A MICROTHRUSTER TO MACROKINETIC
AND DESIGN PARAMETERS
S. I. Futko,^a E. M. Ermolaeva,^a
K. V. Dobrego,^a V. P. Bondarenko,^b
and L. N. Dolgii^b
UDC 662.612.2,662.311.1
We have developed a sensitivity analysis permitting effective estimation of the change in the impulse responses
of a microthrusters and in the ignition characteristics of the solid-fuel charge caused by the variation of the
basic macrokinetic parameters of the mixed fuel and the design parameters of the microthruster’s combustion
chamber. On the basis of the proposed sensitivity analysis, we have estimated the spread of both the propulsive
force and impulse and the induction period and self-ignition temperature depending on the macrokinetic
parameters of combustion (pre-exponential factor, activation energy, density, and heat content) of the solidfuel
charge of the microthruster. The obtained results can be used for rapid and effective estimation of the
spread of goal functions to provide stable physicochemical characteristics and impulse responses of solid-fuel
mixtures in making and using microthrusters.
Keywords: solid rocket fuel, combustion of solid fuels, macrokinetic modeling, solid-fuel rocket engine, MEMS
technologies, microthruster, thermodynamics, glycidyl azide polymer, RDX, igniter, critical thermal flux, self-ignition,
induction period, propulsion impulse, sensitivity analysis, sensitivity coefficients.

HYDROGASDYNAMICS IN TECHNOLOGICAL PROCESSES
APPLICATION OF A TWO-PARAMETRIC TURBULENCE MODEL
TO DESCRIPTION OF FLOWS IN CHANNELS WITH INJECTION
K. V. Volkov

UDC 532.529
Consideration is given to a number of issues associated with the application of a k–ε turbulence model to description
of flows in channels with permeable walls. The influence of such factors as the method of setting
boundary conditions, compressibility, injection, and flow unsteadiness due to the forced pressure oscillations
in the channel is evaluated on the basis of results of numerical modeling. The results of calculations within
the framework of Reynolds-averaged Navier–Stokes equations are compared to the data based on the simulation
of large eddies of turbulent flow in a channel with injection. Conclusions on the possibility of applying
a k–ε turbulence model to calculation of flows formed by injection are drawn.
Keywords: turbulent flow, k–ε turbulence model, channels with permeable walls and with injection, Reynoldsaveraged
Navier–Stokes equations.

MIXED CONVECTIVE FLOW OF A MICROPOLAR FLUID
MIXTURE IN A VERTICAL CHANNEL WITH BOUNDARY
CONDITIONS OF THE THIRD KIND
J. C. Umavathi and Jaweriya Sultana

UDC 536.25
The problem of fully developed mixed convection for a laminar flow of a micropolar fluid mixture in a vertical
channel with a heat source/sink has been investigated. The plates exchange heat with an external fluid,
and both conditions of equal and different reference temperatures of the external fluid are considered. The effect
of the governing parameters, namely, heat source/sink, vortex viscosity, and buoyancy ratio on the velocity,
microrotation velocity, and temperature has been discussed. An increase in the vortex viscosity parameter
enhances microrotation and thus decreases the fluid velocity. The volume flow rate, total heat flux, and heat
and species fluxes are shown to be lower than those for a Newtonian fluid in both the cases of heat absorption
and generation.
Keywords: mixed convection, micropolar fluid.

EFFECT OF VISCOUS DISSIPATION AND RADIATION
ON MHD GAS FLOW AND HEAT AND MASS TRANSFER
OVER A STRETCHING SURFACE WITH A UNIFORM
FREE STREAM
K. Govardhan,^a N. Kishan,^b
and B. Balaswamy^b,
UDC 536.25
The influence of radiation on a steady free convective flow and heat and mass transfer over an isothermal
stretching sheet in the presence of a uniform magnetic field is considered with regard to the viscous dissipation
effect. The governing partial differential equations are converted into a system of nonlinear ordinary differential
ones via similarity transformations. The resulting system of coupled nonlinear ordinary differential
equations is solved numerically using the Adams–Moulton predictor–corrector method and the shooting one.
The numerical results for the velocity, temperature, and concentration profiles are presented, showing their
dependence on the flow parameters. The effect of the radiation and magnetic field parameters on the shear
stress and heat flux is discussed.
Keywords: MHD, radiation, viscous dissipation, free convection, stretching sheet, heat and mass transfer.

GENERAL PROBLEMS OF TRANSPORT THEORY
USE OF THE APPROXIMATION FORMULA FOR THE
PHASE-EQUILIBRIUM FUNCTION IN THE ANALYSIS
OF PERIODIC DEPHLEGMATION DISTILLATION
IN THE SEPARATION OF A BINARY MIXTURE
A. I. Moshinskii

UDC 66.023
A formula dependent on two parameters has been proposed for the approximation of typical phase-equilibrium
functions. This formula can be used for analysis of a number of mass-transfer processes, in particular, distillation,
rectification, adsorption, etc. Using the dependence proposed, a mathematical model of periodic distillation
of a binary mixture in the presence of a dephlegmator has been analyzed; in the dephlegmator, partial
condensation of the separated mixture occurs in a nonstationary mode under certain supplementary conditions.
Analytical expressions describing this process and convenient for calculations have been obtained.
Keywords: mass transfer, equilibrium function, approximation, distillation.

MODELING OF THE INTERSTITIAL DIFFUSION
OF BORON IN CRYSTALLINE SILICON
O. I. Velichko, V. V. Aksenov, and A. P. Kovaleva
UDC 539.219.3
The redistribution of ion-implanted boron in crystalline silicon under fast low-temperature annealing has been
modeled. It has been shown that in the region of low impurity concentration "tails" are formed by long-range
migration of interstitial boron atoms.
Keywords: boron, silicon, low-temperature annealing, diffusion.

MISCELLANEA
IMPEDANCE SPECTROSCOPY OF COMPOSITES BASED
ON WASTE POLYMERIC MATERIALS FOR ELECTRICAL
ENGINEERING PURPOSES
V. I. Zubko and D. V. Zubko

UDC 533.275.08:543.712.08
We have developed a high-sensitivity capacitance transducer and a method for measuring the complex of electrical
indices of composites based on waste polymeric materials in the frequency range from 100 Hz to 1 MHz.
The electrical properties of composites depending on the electric field frequency and the content and type of
the filler have been investigated.
Keywords: waste polyethylene, sand, lignin, rubber crumb, powdery carbon fiber, powdery electrolytic copper.

ULTIMATELY STRAIGHTENED SPIRAL SPRINGS
FOR REINFORCING THERMALLY SHRINKING
POLYMER COMPOSITES
V. V. Goncharenko, P. I. Loboda,
M. V. Goncharenko, A. O. Tkachenko, and M. Heilmeier

UDC 621.681
Ultimately straightened spiral springs designed for reinforcing thermally shrinking polymer composites are
considered from the viewpoint of their operation properties. The dependence of the degree of contraction of
such springs (i.e., of the degree of thermal shrinkage of the composites) primarily on the spring index is determined.
It is found that the method of ultimate extension of spiral springs allows one to determine the
boundary deformation corresponding to the elasticity limit of the material of a spring wire with a high degree
of accuracy.
Keywords: thermally shrinking composites, reinforcing straightened springs.

INFLUENCE OF METAL-CONTAINING CARBON FIBERS
ON THE PROPERTIES OF CARBON-FILLED PLASTICS
BASED ON AROMATIC POLYAMIDE
A. I. Burya,^a A. M. Safonova,^b
and I. V. Rula^a
UDC 677.4+666.198+661.728
The influence of metal-containing carbon fibers on the thermal properties of carbon-filled phenylone-based
plastics has been investigated. It has been shown that carbometallic fibers containing in their composition 20–
30 mass % of a finely dispersed metal (Co, Cu) are promising fillers of phenylone C-2 for making carbonfilled
plastics working in frictional units of various machines and mechanisms.
Keywords: carbometallic fibers, polymeric composites, carbon-filled plastics, thermostable aromatic polyamide.

TRANSIENT MAGNETO-THERMO-VISCOELASTIC STRESSES
IN A ROTATING NONHOMOGENEOUS ANISOTROPIC SOLID
WITH AND WITHOUT A MOVING HEAT SOURCE
M. A. Fahmy

UDC 536.21
Transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid with and without a
moving heat source under rotation are studied. The system of fundamental equations is solved by means of
the dual reciprocity boundary element method (DRBEM). In the case of plane deformation, a numerical
scheme for the implementation of the method is presented, and the numerical computations are carried out for
the temperature, displacement components, and thermal stress components. The validity of the DRBEM is examined
by considering a magneto-thermo-viscoelastic solid that occupies a rectangular region, and good
agreement with the existent results is obtained. The results indicate that the effects of a moving heat source
and rotation are very pronounced.
Keywords: magneto-thermo-viscoelastic stress, rotation, inhomogeneity, anisotropy, dual reciprocity boundary
element method.

REVIEW
ANALYSIS OF INVESTIGATIONS OF ELECTRIC
FIELDS IN DIFFERENT MEDIA AND CONDITIONS
V. A. Altunin,^a K. V. Altunin,^a I. N. Aliev,^b
Yu. F. Gortyshov,^a F. N. Dresvyannikov,^a L. A. Obukhova,^a
S. E′. Tarasevich,^a and M. L. Yanovskaya^c
UDC 536:537
Based on the analysis of scientific-technical literature, the development of investigations and application of
electric (electrostatic) fields in liquid and gaseous media in earth and space conditions is shown. A course of
further investigations of electric wind in liquid and gaseous hydrocarbon fuels and coolants under the conditions
of their natural and forced convection in wide ranges of pressure and temperature parameters with visualization
of the characteristic features of thermal processes with the aid of Toepler’s optical device is traced.
Keywords: electric convection, electric wind, electrohycrodynamics, critical and supercritical parameters, hydrocarbon
fuels and coolants, heat pillars and false pillars, precipitation, thermoacoustic self-sustained pressure
oscillations.

HEAT AND MASS TRANSFER IN DISPERSED AND POROUS MEDIA
FLOW AND MOTION OF CONDENSED-PHASE
PARTICLES IN THE PRENOZZLE SPACE
OF SOLID-PROPELLANT ROCKET MOTORS
K. N. Volkov,^a V. N. Emel’yanov,^b
and I. V. Kurova^b
UDC 532.529
The flow of an inviscid liquid containing condensed-phase particles around the recessed nozzle of the solidpropellant
rocket motor has been considered. To take into account the complex geometry of the prenozzle
space of the rocket motor, the equations describing the liquid flow were written in a curvilinear coordinate
system. The paths of solid particles were calculated in the known liquid flow field. The quality criteria of the
meshes constructed with the use of different approaches have been compared. The results of the calculations
permit determining the limit path of particles dividing the flow region into two subregions, one of which is
occupied by particles and the other is free from condensed-phase particles.
Keywords: solid-propellant rocket motor, particle, prenozzle space, injection.

ON CALCULATION OF ACTIVE HEAT INSULATION
Yu. S. Teplitskii,^a E. A. Pitsukha,^b
and D. G. Belonovich^a
UDC 532.5
A theoretical-experimental study has been made of thermal processes in a blown bed of a dispersed material
which is part of active heat insulation. The dependence of the outlet gas temperature on the governing factors
has been revealed. An engineering procedure for calculating active heat insulation has been developed.
Keywords: heat insulation, blown dispersed bed, air heater, radiant heating, two-temperature model.

CONCERNING FREE CONVECTION IN A HEAT-RELEASING
GRANULAR BED IN THE PRESENCE OF A FIRST-ORDER
PHASE TRANSITION
Yu. S. Teplitskii and V. L. Malevich

UDC 532.5
Based on the earlier obtained results pertaining to the investigation of filtration cooling of a heat-releasing
granular bed in the presence of a first-order phase transition under the conditions of forced convection, simulation
of the process in the presence of free convection of heat carrier was made. An interpolation relation
for calculating the minimum value of heat release has been obtained.
Keywords: free convection, heat-releasing granular bed, first-order phase transition, simulation.

CALCULATION OF FILTRATION
FROM CANALS AND IRRIGATORS
E . N. Bereslavskii

ANALYTICAL AND NUMERICAL SOLUTIONS
OF RADIAL COUNTERCURRENT CAPILLARY
IMBIBITION
E. M. Lobanov

NANOSTRUCTURES
SIMULATION OF THE SPIN PROPERTIES
OF THE 13C ATOMS NEAREST TO THE SINGLE
[NV]− CENTER IN A NANODIAMOND
BY THE DENSITY-FUNCTIONAL METHOD
V. A. Pushkarchuk,^a S. Ya. Kilin,^b A. P. Nizovtsev,^b
V. E. Borisenko,^a A. B. Filonov,^a A. L. Pushkarchuk,^c
and S. A. Kuten’^d
UDC 535.35
A quantum-chemical simulation of the spin properties of diamond nanocrystals with [NV]− centers passivated
with hydrogen atoms has been carried out. The concrete atoms from the nearest and farthest surroundings of
the [NV]− center, which contribute to the formation of the spin density causing hyperfine splitting, were determined.
Keywords: quantum-chemic

al simulation, spin properties, nanodiamond, nitrogen atom, vacancy.

FULLERENES IN MATRICES OF DIFFERENT SUBSTANCES
P. A. Vityaz’^a and E′. M. Shpilevskii^b

UDC 539.2
Techniques for obtaining fullerene-containing materials based on metals and semiconductors, and also on
polymers and ceramics, have been developed. It has been shown that fullerenes, on introduction into the matrices
of different substances, produce substantial changes in their structure and properties. In some cases
fullerenes act not only as the components of composite materials but also as the reagents of chemical reactions
in obtaining new substances.
Keywords: fullerene, fulleride, ferrocene, carbon nanoparticles, composite material.

PAGE 788

INFLUENCE OF DIFFUSION ON THE CLEANING
OF THE CVD REACTOR ATMOSPHERE
Yu. A. Stankevich and S. P. Fisenko UDC 536.423
The problem of displacement of a gas impurity from a cylindrical reactor by a laminar flow is solved numerically.
Engineering equations for calculating the time of displacement are obtained. The results of the work
can be applied in developing the technology of producing carbon tubes by the CVD method and in closely
related problems.
Keywords: CVD method, radial diffusion, nanotube, FLUENT, characteristic time of diffusion, degree of cleaning.

PAGE 794

PAGE 798

PAGE 802

PAGE 820

MATHEMATICAL SIMULATION OF CONVECTIVE-RADIATIVE
HEAT TRANSFER IN A VENTILATED RECTANGULAR CAVITY
WITH CONSIDERATION OF INTERNAL MASS TRANSFER
M. A. Sheremet and N. I. Shishkin

UDC 536.24
Mathematical simulation of the nonstationary regimes of heat-and-mass transfer in a ventilated rectangular
cavity with heat-conducting walls of finite thickness in the presence of a heat-generating element of constant
temperature has been carried out with account for the radiative heat transfer in the Rosseland approximation.
As mechanisms of energy transfer in this cavity, the combined convection and the thermal radiation in the gas
space of the cavity and the heat conduction in the elements of its fencing solid shell were considered. The
mathematical model formulated in the dimensionless stream function–vorticity vector–temperature–concentration
variables was realized numerically with the use of the finite-difference method. The streamline, temperature-
field, and concentration distributions reflecting the influence of the Rayleigh number (Ra = 104, 105,
106), the nonstationarity (0 < τ ≤ 1000), and the optical thickness of the medium (τλ = 50, 100, 200) on the
regimes of the gas flow and the heat-and-mass transfer in the cavity have been obtained.
Keywords: numerical analysis, combined convection, heat-and-mass transfer, solid walls, radiation.

PAGE 828

PAGE 836

PAGE 845

PAGE 851

HEAT AND MASS TRANSFER IN COMBUSTION PROCESSES
STUDY OF SWIRLING GAS-DISPERSED FLOWS IN VORTEX
CHAMBERS OF VARIOUS STRUCTURES IN THE PRESENCE
AND ABSENCE OF COMBUSTION
E . P. Volchkov,^a N. A. Dvornikov,^a
V. V. Lukashov,^a V. A. Borodulya,^b
Yu. S. Teplitskii,^b and E. A. Pitsukha^c
UDC 532.529
Consideration is given to swirling gas-dispersed flows in the cylindrical combustion chamber with a lateral
swirler, in the conical combustion chamber with a nonflow bed of a dispersed material, and in the cylindrical
combustion chamber with lower end injection of the gas through a slot swirler.
Keywords: vortex chamber, swirling flow, fluidized bed, combustion.

PAGE 856

PAGE 867

CHARACTERISTICS OF THE SOLID-FUEL CHARGE
OF THE MICROELECTROMECHANICAL SYSTEM
OF A MICROTHRUSTER TO MACROKINETIC
AND DESIGN PARAMETERS
S. I. Futko,^a E. M. Ermolaeva,^a
K. V. Dobrego, V. P. Bondarenko,
and L. N. Dolgii^b
UDC 662.612.2,662.311.1
We have developed a sensitivity analysis permitting effective estimation of the change in the impulse responses
of a microthrusters and in the ignition characteristics of the solid-fuel charge caused by the variation of the
basic macrokinetic parameters of the mixed fuel and the design parameters of the microthruster’s combustion
chamber. On the basis of the proposed sensitivity analysis, we have estimated the spread of both the propulsive
force and impulse and the induction period and self-ignition temperature depending on the macrokinetic
parameters of combustion (pre-exponential factor, activation energy, density, and heat content) of the solidfuel
charge of the microthruster. The obtained results can be used for rapid and effective estimation of the
spread of goal functions to provide stable physicochemical characteristics and impulse responses of solid-fuel
mixtures in making and using microthrusters.
Keywords: solid rocket fuel, combustion of solid fuels, macrokinetic modeling, solid-fuel rocket engine, MEMS
technologies, microthruster, thermodynamics, glycidyl azide polymer, RDX, igniter, critical thermal flux, self-ignition,
induction period, propulsion impulse, sensitivity analysis, sensitivity coefficients.

PAGE 874

HYDROGASDYNAMICS IN TECHNOLOGICAL PROCESSES
APPLICATION OF A TWO-PARAMETRIC TURBULENCE MODEL
TO DESCRIPTION OF FLOWS IN CHANNELS WITH INJECTION
K. V. Volkov

PAGE 884

MIXED CONVECTIVE FLOW OF A MICROPOLAR FLUID
MIXTURE IN A VERTICAL CHANNEL WITH BOUNDARY
CONDITIONS OF THE THIRD KIND
J. C. Umavathi and Jaweriya Sultana

PAGE 895

EFFECT OF VISCOUS DISSIPATION AND RADIATION
ON MHD GAS FLOW AND HEAT AND MASS TRANSFER
OVER A STRETCHING SURFACE WITH A UNIFORM
FREE STREAM
K. Govardhan,^a N. Kishan,^b
and B. Balaswamy^b
UDC 536.25
The influence of radiation on a steady free convective flow and heat and mass transfer over an isothermal
stretching sheet in the presence of a uniform magnetic field is considered with regard to the viscous dissipation
effect. The governing partial differential equations are converted into a system of nonlinear ordinary differential
ones via similarity transformations. The resulting system of coupled nonlinear ordinary differential
equations is solved numerically using the Adams–Moulton predictor–corrector method and the shooting one.
The numerical results for the velocity, temperature, and concentration profiles are presented, showing their
dependence on the flow parameters. The effect of the radiation and magnetic field parameters on the shear
stress and heat flux is discussed.
Keywords: MHD, radiation, viscous dissipation, free convection, stretching sheet, heat and mass transfer.

PAGE 909

GENERAL PROBLEMS OF TRANSPORT THEORY

USE OF THE APPROXIMATION FORMULA FOR THE
PHASE-EQUILIBRIUM FUNCTION IN THE ANALYSIS
OF PERIODIC DEPHLEGMATION DISTILLATION
IN THE SEPARATION OF A BINARY MIXTURE
A. I. Moshinskii

PAGE 917

MODELING OF THE INTERSTITIAL DIFFUSION
OF BORON IN CRYSTALLINE SILICON
O. I. Velichko, V. V. Aksenov,
and A. P. Kovaleva
UDC 539.219.3
The redistribution of ion-implanted boron in crystalline silicon under fast low-temperature annealing has been
modeled. It has been shown that in the region of low impurity concentration "tails" are formed by long-range
migration of interstitial boron atoms.
Keywords: boron, silicon, low-temperature annealing, diffusion.

PAGE 926

MISCELLANEA
IMPEDANCE SPECTROSCOPY OF COMPOSITES BASED
ON WASTE POLYMERIC MATERIALS FOR ELECTRICAL
ENGINEERING PURPOSES
V. I. Zubko and D. V. Zubko

PAGE 932

ULTIMATELY STRAIGHTENED SPIRAL SPRINGS
FOR REINFORCING THERMALLY SHRINKING
POLYMER COMPOSITES
V. V. Goncharenko, P. I. Loboda,
M. V. Goncharenko, A. O. Tkachenko,
and M. Heilmeier
UDC 621.681
Ultimately straightened spiral springs designed for reinforcing thermally shrinking polymer composites are
considered from the viewpoint of their operation properties. The dependence of the degree of contraction of
such springs (i.e., of the degree of thermal shrinkage of the composites) primarily on the spring index is determined.
It is found that the method of ultimate extension of spiral springs allows one to determine the
boundary deformation corresponding to the elasticity limit of the material of a spring wire with a high degree
of accuracy.
Keywords: thermally shrinking composites, reinforcing straightened springs.

PAGE 939

PAGE 943

TRANSIENT MAGNETO-THERMO-VISCOELASTIC STRESSES
IN A ROTATING NONHOMOGENEOUS ANISOTROPIC SOLID
WITH AND WITHOUT A MOVING HEAT SOURCE
M. A. Fahmy

PAGE 950

REVIEW
ANALYSIS OF INVESTIGATIONS OF ELECTRIC
FIELDS IN DIFFERENT MEDIA AND CONDITIONS
V. A. Altunin,^a K. V. Altunin,^a I. N. Aliev,^b
Yu. F. Gortyshov,a F. N. Dresvyannikov,a L. A. Obukhova,^a
S. E′. Tarasevich,^a and M. L. Yanovskaya^c
UDC 536:537
Based on the analysis of scientific-technical literature, the development of investigations and application of
electric (electrostatic) fields in liquid and gaseous media in earth and space conditions is shown. A course of
further investigations of electric wind in liquid and gaseous hydrocarbon fuels and coolants under the conditions
of their natural and forced convection in wide ranges of pressure and temperature parameters with visualization
of the characteristic features of thermal processes with the aid of Toepler’s optical device is traced.
Keywords: electric convection, electric wind, electrohycrodynamics, critical and supercritical parameters, hydrocarbon
fuels and coolants, heat pillars and false pillars, precipitation, thermoacoustic self-sustained pressure
oscillations.