HEAT AND MASS TRANSFER IN DISPERSIVE MEDIA
LOCAL CONDUCTIVITY OF A FLUIDIZED
BED CONSISTING OF CONDUCTING PARTICLES
A. I. Malinovskii, O. S. Rabinovich, V. A. Borodulya,
A. Zh. Greben’kov, and A. M. Sidorovich
UDC 66.096.5:537.311.3
The electrical conductivity distribution over the height of the fluidized bed (coke, fraction 0.25–0.4 mm) has
been investigated experimentally under various liquefaction conditions. Analysis of the conductivity fluctuations
in the fluidized bed has been performed and its mechanism, taking into account the interaction between the
bed phases, is proposed.
Keywords: fluidized bed, electrical conductivity, fluidization, conducting particles.
NONLINEAR OSCILLATIONS OF FINELY
DISPERSED AEROSOL IN A FLANGED PIPE
D. A. Gubaidullin, R. G. Zaripov,
and L. A. Tkachenko
UDC 534.2:532.529
Longitudinal nonlinear oscillations of a finely dispersed aerosol and the effect of its accelerated coagulation
and deposition in an open flanged pipe near the subharmonic resonance are investigated experimentally. The
decrease in the number density of aerosol droplets with time for the investigated excitation frequencies and
intensities of oscillations has been elucidated. The nonmonotonic character of the dependence of aerosol coagulation
and deposition time with a minimum and maximum on the excitation frequency in transition through
resonance has been determined. The influence of a flange on the process investigated has been studied.
Keywords: longitudinal nonlinear oscillations, coagulation, deposition, aerosol, flanges.
MODELING OF THE REDUCTION OF IRON
OXIDE BY METHANE-CONVERSION PRODUCTS
IN A PLASMA JET. II. HEAT AND MASS TRANSFER
P. S. Grinchuk,a S. I. Dmitriev,a
and B. B. Khinab
UDC 544:536.46:541.128
A mathematical model of reduction of fine-dispersed iron-oxide particles in a high-temperature gas medium
on the basis of methane-conversion products has been developed. In the model, allowance is made for the
motion of the gas and particles in the flow, particle–gas and gas–reactor wall heat exchange, melting of a
solid iron-oxide (FeO) particle in the approximation of a thermal Stefan problem, and for the motion of the
FeO/Fe conversion front in an individual particle in the approximation of a diffusion-type Stefan problem.
The modeling results have been compared to the available experimental data. Thermophysical conditions for
realization of this process, which ensure the reduction of iron oxide to pure iron, have been determined. A
possible mechanism of iron oxide-to-iron conversion in a particle has been considered.
Keywords: out-of-furnace iron-oxide reduction, iron, plasma treatment, modeling, Stefan problem, heat and
mass transfer.
FREE CONVECTION IN A GRANULAR BED
IN HEAT RELEASE OF VARIOUS NATURE
Yu. S. Teplitskii and V. L. Malevich UDC 532.5
From the quasihomogeneous model of a granular bed, modeling of free convection for three modes of heat
release (constant, exponentially distributed over the bed’s height, and linearly dependent on the bed’s temperature)
has been performed. Dimensionless dependences for calculation of the maximum flow rate of the
heat-transfer agent have been obtained. Boundaries of the region of stable convection have been determined.
Keywords: granular bed, free (natural) convection, heat-transfer agent, cocurrent solar-heat collector, countercurrent
solar-heat collector, granular-bed tube, ring granular bed.
HYDROGASDYNAMICS IN TECHNOLOGICAL PROCESSES
EXPERIMENTAL AND NUMERICAL INVESTIGATION
OF AERODYNAMIC CHARACTERISTICS OF SWIRLING
FLOWS IN A MODEL OF THE SWIRLING-TYPE FURNACE
OF A STEAM GENERATOR
V. V. Salomatov,a,b D. V. Krasinskii,a Yu. A. Anikin,a
I. S. Anufriev,a O. V. Sharypov,a,b and Kh. Enhzhargalc
UDC 621.18, 533.6.08
Physical and mathematical simulation of the internal aerodynamics of an isothermal model of a swirling-type
furnace geometrically similar to a section of the experimental-production TPE-427 steam generator of the Novosibirsk
Steam Power Plant 3 has been performed. Data on the velocity fields in this furnace have been obtained
with the use of a Doppler laser measuring system, and a three-dimensional turbulent flow in it was
numerically simulated using the Fluent CFD package. The calculation and experimental results obtained were
compared. Recommendations on the improvement of the design characteristics of the indicated furnace are
proposed.
Keywords: swirling-flow structure, Doppler laser anemometry, numerical simulation, steam-generator furnace.
ON THE PROBLEM OF FLOW OVER A ZHUKOVSKII
SHEET PILE IN AN IRRIGATED GROUND MASS
E ′
. N. Bereslavskii UDC 532.546
In the hydrodynamic formulation, the problem is solved of plane steady filtration under a Zhukovskii sheet
pile through an irrigated ground mass underlain by a highly permeable pressure horizon, the left semiinfinite
part of whose roof is modeled by an impermeable inclusion. Consideration is given to the case of motion
where the flow velocity at the end of the sheet pile is equal to infinity, which leads to a multivalence of the
relevant region of complex velocity. To study such flow, we formulate and solve, using the Polubarinova-Kochina
method, a mixed multiparametric boundary-value problem of the theory of analytical functions. On the
basis of this model, an algorithm of calculation of filtration characteristics is developed for the situations
where in water filtration, one has to take account of infiltration onto the free surface. Numerical results and
the analysis of the effects of all physical parameters on the flow picture are presented. Consideration is given
to the limiting cases of motion associated with the absence of both an impermeable inclusion and the hydrostatic
upthrust in the well-permeable underlying layer. The solution is compared with results for the case of
a finite flow velocity at the end of the sheet pile.
Keywords: filtration, Zhukovskii sheet pile, groundwater, evaporation, Polubarinova-Kochina method, complex
flow velocity, conformal mappings.
SHOCK ADIABAT OF A MULTIVELOCITY
HETEROGENEOUS MEDIUM
V. S. Surov UDC 532.529.5
Rankine–Hugoniot relations for the hyperbolic model of a multivelocity multicomponent mixture have been
given. The shock adiabat consistent with the model’s equations has been calculated for a gas–liquid mixture.
The calculation results have been compared to the commonly used shock adiabatic equation, which is based
on the assumption of additive shock compression of the mixture’s components.
Keywords: multivelocity multicomponent medium, Rankine–Hugoniot relations for a multicomponent mixture,
shock adiabat for a multivelocity mixture.
ELECTRIC DISCHARGE IN A BOUNDARY LAYER
S. V. Guvernyuk, A. F. Zubkov,
O. N. Ivanov, and A. I. Shvetz
UDC 533.6.01
The influence of the creeping discharge on the air flow in the boundary layer and the adjoining region of a
plate with a cylindrical wedge has been investigated experimentally. Experiments were carried out in a supersonic
wind tunnel at a Mach number M = 3.0. The processes of initiation and propagation of such a discharge
and boundary layer development on the above objects under the action of this discharge have been
investigated. The data on the flow around a wedge-shape projection on the plate are presented.
Keywords: creeping discharge, wind tunnel, boundary layer, air flow, heat input.
ON STABILITY OF INERTIAL COLLAPSE
OF SHELLS FILLED WITH VISCOUS FLUID
Yu. G. Gubareva and N. A. Sokolovb UDC 532.5.013.4:532.5.032
Consideration is given to problems of nonlinear stability of inertial collapse of spherical and cylindrical shells
filled with a viscous incompressible fluid homogeneous in density. Using Lyapunov’s direct method, we determine:
1) the necessary and sufficient condition for stability of spherically symmetrical inertial collapse of a
thick spherical shell with respect to finite disturbances of symmetry of the same type and 2) absolute stability
of cylindrically symmetrical inertial collapse of a cylindrical shell relative to finite disturbances of the same
symmetry.
Keywords: shell, viscous fluid, collapse, stability, Lyapunov’s direct method.
AN APPROXIMATE MODEL OF THE DYNAMICS
AND HEAT TRANSFER OF AN IMPACT CYLINDRICAL
IDEAL LIQUID JET
B. A. Uryukov, V. D. Belik,
and G. V. Tkachenko
UDC 532.5.031;536.24
A jet model based on approximations of velocities, satisfying the continuity equation, and on the integral momentum
equation is presented. The solution for the jet dynamics turned out to be nonmonotonic: as an obstacle
recedes over a distance larger than a certain critical one, the jet escapes from the receiver nozzle
rectilinearly and remains unchanged until the distance to the obstacle becomes equal to the critical one,
whereupon the jet begins to spread.
The heat transfer law has been determined on the basis of the momentum and boundary layer energy equations
written in an integral form. They were solved by the Squire method. It is shown that with decrease in
the distance to the obstacle, if it is smaller than the critical one, the Nusselt number at the stagnation point
increases.
Keywords: impact jet, ideal liquid, heat exchange between a jet and a plane wall.
INVESTIGATION OF THE STRUCTURE OF SWIRLING
FLOWS IN A CYCLONE CHAMBER UNDER VARIOUS
CONDITIONS OF GAS INLET AND OUTLET
E. A. Pitsukha,a Yu. S. Teplitskii,b V. A. Borodulya,b
E. P. Volchkov,c N. A. Dvornikov,c and V. V. Lukashovc
UDC 532.529
The features of swirling flows in a cyclone chamber of diameter 0.4 m have been investigated experimentally
for various configurations of inlet nozzles and sizes of the outlet hole. The existence of general laws of
swirling flows independent of the inlet and outlet geometry of the chamber, as well as of the air blow velocity
has been established. Equations for calculating the main characteristics of the swirling flow in the above
chamber have been obtained and their comparison with the dependences established for chambers with other
geometric parameters has been made.
Keywords: cyclone chamber, swirling flow, flow structure, nozzle, central region, peripheral region, rarefaction
zone.
RADIATION EFFECTS IN MIXED CONVECTION FLOW
OF A VISCOUS FLUID HAVING TEMPERATURE-DEPENDENT
DENSITY ALONG A PERMEABLE VERTICAL PLATE
S. Siddiqa,a S. Asghar,a
and Md. A. Hossainb
UDC 536.25
An analysis of a laminar mixed convection boundary-layer flow of an optically dense viscous fluid along a
highly heated permeable vertical flat plate in the presence of thermal radiation is performed. The radiative
heat flux term is expressed using the Rosseland diffusion approximation. Here, the fluid density is assumed
to vary exponentially with temperature. The dimensionless boundary layer equations are reduced to a convenient
form by primitive variable transformation and then integrated numerically employing the implicit finite
difference method along with the Gaussian elimination technique. Furthermore, the boundary-layer
equations are also reduced to a set of nonsimilar equations with the help of the stream function formulation
and are simulated by the implicit finite-difference Keller box method. The influence of different physical parameters
on the velocity and temperature profiles, as well as on the shear stress and heat transfer rate, is
shown and analyzed.
Keywords: mixed convection flow, porous plate, radiation effect.
MODELING OF THE HYDRODYNAMICS
OF A CYCLONIC ROTATIONAL DUST
COLLECTOR OF INCREASED EFFICIENCY
S. I. Kuznetsov, V. D. Mikhailik,
and S. A. Rusanov
UDC 66.01:66.011
The results of investigation of the structure of a three-dimensional two-phase gas flow with highly dispersed
inclusions in a cyclonic-rotational dust collector with the use of a 3D geometrical model and methods of computer
graphics for flow visualization are presented. Numerical investigations were carried out on the basis of
the k–ε model of turbulence with scaled wall functions. Good agreement between the calculated and experimental
results has been obtained.
Keywords: cyclonic-rotational dust collector, two-phase flow, visualization of flows, computer graphics, turbulence,
dissipation.
CONCEPTUAL FEATURES IN THE CONSTRUCTION
OF THE THEORY OF COMPRESSIBLE MEDIA FLOWS*
V. D. Tyutyuma UDC 621.43
The concept of the development of hydrodynamic processes into the basis of which the wave principle of the
propagation of elastic interactions is included along with the mass, momentum, and energy conservation laws
has been considered. A closed system of differential equations of locally nonequilibrium motion of a viscous
heat-conducting compressible medium is written with account for the wave mechanism of transmission of perturbations.
Keywords: equation of motion, viscous compressible medium, wave principle of transmission of elastic interactions,
flow in tubes and channels.
HEAT AND MASS TRANSFER IN COMBUSTION PROCESSES
PHYSICOMATHEMATICAL MODELING
OF SUPPRESSION OF GASEOUS DETONATION
BY CHEMICALLY INERT PARTICLES
A. V. Fedorov,a P. A. Fomin,b
D. A. Tropin,a and Z.-R. Chenc
UDC 534.222
A model for describing the propagation of a stationary detonation wave in a mixture of a gas with chemically
inert particles has been proposed, and calculations of its structure have been carried out. The dynamics of
interaction of the detonation wave with the cloud of chemically inert particles has been investigated. Cloud
parameters ensuring successful suppression of detonation have been determined.
Keywords: suppression of gaseous detonation, gas–particle mixture, explosion safety.
PARAMETERS, LIMITS, ATTENUATION, AND SUPPRESSION
OF DETONATION IN MIXTURES OF AN EXPLOSIVE GAS
WITH CHEMICALLY INERT MICROPARTICLES
A. V. Fedorov,a P. A. Fomin,b
D. A. Tropin,a and Z.-R. Chenc
UDC 534.222
Chapman–Jouguet parameters and the cell size of a detonation wave in mixtures of an explosive gas with
chemically inert particles have been calculated. The algorithm of calculation of the minimum mass and characteristic
dimension of a particle cloud ensuring successful suppression of detonation in the gas has been proposed.
The calculation results are in good agreement with the available experimental data. The influence of
the initial composition of the gas on the efficiency of suppression of the detonation wave has been analyzed.
The issue of the dependence of the concentration limits of detonation on the mass fraction of particles has
been investigated. It has been established that the increase in the concentration of the condensed phase leads
to a narrowing of the existence domain of detonation and that the propagation of the detonation wave becomes
impossible when the concentration of the particles is fairly high.
Keywords: suppression of gaseous detonation, gas–particles mixture, cell, explosion safety.
CHARACTERISTIC FEATURES OF A BARRIER
DISCHARGE OCCURRING ON THE ZHUKOVSKII
AEROFOIL ON VARIATION OF THE SURROUNDING
AIR PRESSURE
P. P. Khramtsov, O. G. Penyazkov, V. M. Grishchenko,
M. Yu. Chernik, I. N. Shatan, and I. A. Shikh
UDC 533.9.082.5; 537.523.2
The results of measuring the jet thrust produced by a dielectric barrier discharge on the Zhukovskii aerofoil
are presented. The measurements were made in the pressure range 40–1200 Torr. The maximum velocity of
the ion wind attained 4–5 m/s. Based on the analysis of the plasma glow spectrum at a residual air pressure
in the vacuum chamber of 40 Torr in the barrier discharge, the values of the temperature Te 2.5⋅104 K and
of electron concentration Ne 2⋅1015 cm−3 were obtained.
Keywords: aerodynamic resistance, plasma actuator, barrier discharge, plasma, Zhukovskii aerofoil, electron
temperature, electron density.
INFLUENCE OF TEMPERATURE CONDITIONS
IN OUTER SPACE ON THE MACROKINETIC
CHARACTERISTICS OF IGNITION AND COMBUSTION
OF THE SOLID-FUEL CHARGE OF THE MICROTHRUSTER
OF A MICROELECTROMECHANICAL SYSTEM
S. I. Futko,a V. P. Bondarenko,b
and L. N. Dolgiib
UDC 662.612.2.662.311.1
On the basis of macrokinetic calculations, the influence of the initial temperature on the impulse responses of
the processes of ignition and combustion of the solid-fuel charge of the microelectromechanical system
(MEMS) microthruster burning the solid fuel glycidyl azide polymer (GAP)/RDX has been investigated. It has
been established that fuel heating/cooling in a wide range of temperature values from 150 to 450 K characteristic
of the conditions of a satellite in orbital flight markedly affects both the thrust and the total impulse
of the MEMS microthruster. In so doing, an increase in the initial temperature leads to a marked decrease in
the induction period and an increase in the critical flux of fuel ignition. The influence of the change in the
initial temperature on the self-ignition temperature of GAP can be neglected. To obtain stable characteristics
of the microthruster, it seems expedient to use a thermostating system.
Keywords: solid mixed fuel, combustion of solid fuels, mathematical modeling, solid-fuel rocket engines, MEMS
technologies, microthruster, macrokinetics, glycidyl azide polymer, GAP, RDX, rate of combustion, thrust impulse,
initial temperature, thermal conditions, microspace vehicles, nanosatellite.
TRANSFER PROCESSES IN POROUS MEDIA
ON THE TIME DEPENDENCE OF COUNTERCURRENT
CAPILLARY IMBIBITION
E. M. Lobanov UDC 532.546
One-dimensional countercurrent capillary imbibition of the wetting phase (water) into a semibounded porous
medium is considered. On a grid model for a sandstone sample the saturation and pressure profiles in the
phases, as well as the change with time in the volume of the displaced nonwetting phase (oil) have been calculated.
It has been shown that the self-similar dependence of the imbibition volume remains for some time
after the imbibition front reaches the sealed end of the sample. At the end of this period the saturation profile
has a form characteristic of the profile with a saturation jump in the case of the limiting initial saturation of
the sample. Taking this fact into account, we propose the time dependence of the volume of displaced oil for
the final period of imbibition.
Keywords: hydrodynamical modeling, two-phase filtration, capillary phenomena, imbibition, self-similar and discontinuous
solutions.
INVESTIGATION OF HEAT TRANSFER
BY EVAPORATION IN CAPILLARY GROOVES
WITH A POROUS COATING
L. L. Vasil’ev, L. P. Grakovich,
M. I. Rabetskii, and D. V. Tulin
UDC 536.24
The results of experimental investigations of heat pipe evaporators with axial grooves of various profiles are
presented. A method for enhancing heat transfer by liquid evaporation from capillary grooves of evaporators
is proposed. It is realized by applying to the capillary groove surface a thin (25–100 μm) porous coating
containing pores up to nanosize. The use of such a coating has made it possible to increase the heat transfer
coefficients by evaporation by a factor of 1.5–2.
Keywords: evaporation, capillary groove, porous coating, heat transfer.
INVESTIGATION OF HEAT TRANSFER
IN THE PROCESS OF DRYING BY
THE REGULAR REGIME METHOD
A. I. Ol’shanskii and V. I. Ol’shanskii UDC 66.047.37
The laws governing the change in heat fluxes and mean integral temperatures in the period of the falling rate
of drying have been established. Experimental dependences for the rate of heating a moist body and for the
coefficient of temperature distribution nonuniformity in a moist body have been obtained.
Keywords: Kondratiev number, Biot number, thermal diffusivity, rate of heating a moist body, heat transfer coefficient,
mean integral temperature.
HEAT CONDUCTION AND HEAT TRANSFER IN TECHNOLOGICAL PROCESSES
QUASI-STATIONARITY OF THERMAL PROCESSES
O. V. Korshunov UDC 697.133
With the aim of developing a new methodology of thermal investigations of heat-insulating structures and materials,
the features of quasi-stationary heat conduction in a flat wall under varying ambient conditions have
been considered. The quasi-stationary approximation errors and the applicability criteria of stationary relations
between the thermal parameters of the medium imposing restrictions on the rate of change in boundary
temperatures have been determined. The possibility of using nonstationary states and stable conditions in thermal
diagnostics of exterior walls has been shown.
Keywords: heat conduction in a flat wall, variable boundary conditions, stationary relations, thermal parameters,
thermal diagnostics.
INFLUENCE OF CLIMATIC FACTORS ON HEAT
TRANSFER IN THE UPPER ZONE OF GROUND
ACCUMULATORS OF HEAT
A. I. Nakorchevskii UDC 536.2+662.995
The boundary-value problem of nonstationary heat conduction in the upper zone of ground accumulators of
heat has been formulated and solved numerically with account for the action of the net flux of solar radiation
and convective component of heat transfer on the Earth’s surface.
Keywords: accumulator, buffer, wind, ground, climate, convection, radiation, heat flux, heat transfer.
MODELING OF HEAT TRANSFER IN A HOMOGENEOUS
MEDIUM IN THE PRESENCE OF PHASE TRANSITION
A. I. Borodin UDC 536.248.2
A new model for calculating heat transfer in a homogeneous medium on change in the state of aggregation
of a substance is suggested. The characteristic feature of the model is the presence of an extended region of
phase transition. The composition of a heterogeneous mixture is introduced as an additional unknown function.
A comparison of the numerical results obtained by the proposed model with the solution of the classical
Stefan problem is given for a plane case.
Keywords: model of heat transfer, extended region of phase transition, heterogeneous mixture, Stefan problem.
THERMOPHYSICAL PROPERTIES
MECHANISMS OF HEAT TRANSFER ON
POLYVINYLCHLORIDE AND POLY(VINYL BUTYRAL)
B. B. Kolupaev, V. V. Klepko,
and E. V. Lebedev
UDC 536.2:539.199
Results of experimental investigation and estimates of the contributions of the phonon, diffusion, and photon
components of thermal conductivity of polyvinylchloride and poly(vinyl butyral) in the range 290 K ≤ T ≤ Tv
+ 40 K have been presented. It has been shown that the phonon mechanism of heat transfer predominates at
293 K ≤ T < Tv, and the diffusion mechanism, when T ≥ Tv. The value of the photon component of thermal
conductivity nonlinearly decreases throughout the T range.
Keywords: heat conduction, phonons, photons, diffusion, structural element.
INFLUENCE OF γ IRRADIATION ON THE CONFORMATION
OF FREE RADICALS IN POLYTETRAFLUOROETHYLENE
F. F. Komarov,a A. I. Kupchishin,b S. P. Pivovarov,c
K. B. Tlebaev,b A. T. Kusainov,b A. B. Rukhin,c
and T. V. Pozdeevaa
UDC 541.6;620.181
A study has been made of the spectra of electron paramagnetic resonance and of experimental curves of accumulation
of free radicals in polytetrafluoroethylene at different temperatures and radiation doses. It has
been found that at a temperature of 60oC, the curve of accumulation of stabilized radicals goes through the
maximum and thereafter drops exponentially. The change in the parameters of intermolecular interaction
causes the transformation of a standardly shaped accumulation curve with saturation to a nonmonotonic curve
with a maximum.
Keywords: polymer, γ irradiation, structure, phase state.
INFLUENCE OF THE TRIDECANE AND HEPTADECANE
MOLECULE CHAIN LENGTH ON THE STRUCTURAL
CHARACTERISTICS OF THEIR EPITROPIC LIQUID-CRYSTAL
LAYERS
S. V. Kiriyan,a B. A. Altoiz,b
E. A. Shatagina,b and A. A. Shataginab
UDC 539.2:541.18
The optical anisotropy and viscosity of micron interlayers, bounded by metallic substrates, of two n-alkane
homologs — tridecane and heptadecane — have been measured. The thickness and characteristics of the orientational
ordering of epitropic liquid-crystal layers formed on the substrates have been established. The
structure parameters obtained are higher for heptadecane, which is attributable to the longer length of its
alkyl chain.
Keywords: n-alkane homologs, optical anisotropy, non-Newtonian flow, near-surface cross-linked layers, molecule
chain length, structure parameters.
MISCELLANEOUS
BIDIRECTIONAL REFLECTION OF POLARIZED
LASER RADIATION BY HEAT-INSULATING
MATERIALS AND THERMOREGULATING COATINGS
I. V. Voshchula, V. A. Dlugunovich,
A. Yu. Zhumar’, and O. V. Tsaryuk
UDC 535.36:535.51
We have investigated the change in the degree of polarization of radiation reflected in the mirror direction by
thermoregulating coatings (white, black, and silver paints) sprayed on aluminum, as well as by polymeric
composite materials (phenol plastic painted green and bare carbon-filled plastic) illuminated at various angles
by linearly polarized radiation from a He-Ne laser. Angular dependences of the bidirectional regular reflectance
of the surface of the investigated materials taking into account only the polarized component of reflected
radiation have been obtained.
Keywords: bidirectional reflectance distribution function, degree of polarization, laser radiation, thermoregulating
coating.
MODELING OF THE DAMAGED STATE
BY THE FINITE-ELEMENT METHOD
ON SIMULTANEOUS ACTION OF CONTACT
AND NONCONTACT LOADS
S. S. Shcherbakov UDC 539.3
A comparative analysis of the results of finite-element modeling of the damaged state of solid bodies in the
vicinity of their contact interaction with simultaneous stretching or compression of one of the elements of the
contact pair is presented. The values of dangerous volumes of these bodies were calculated by summing the
volumes of their finite elements in which the average value of the intensity of stresses exceeds the limit of
contact fatigue.
Keywords: deformed solid body, dangerous volume, stressed-strained state, finite-element method.
PROPAGATION OF PLANE WAVES
IN AN ANISOTROPIC GENERALIZED
THERMOELASTIC SOLID WITH DIFFUSION
Rupender Bijarnia and Baljeet Singh UDC 536.21
This paper is concerned with the propagation of plane waves in a transversely isotropic generalized thermoelastic
solid half-space with diffusion. The governing equations are modified in the context of the Lord and
Shulman theory of generalized thermoelasticity and are solved to show the existence of four plane waves in
the xz plane. Reflection of these plane waves from a thermally insulated free surface is studied, and a system
of four nonhomogeneous equations for the reflection coefficients is obtained. For numerical computations of
the speed and reflection coefficients, a particular material is modeled as a transversely isotropic generalized
thermoelastic solid half-space. The speeds of plane waves are calculated against the angle of propagation to
reveal the effects of anisotropy and diffusion. The reflection coefficients of various reflected waves are also
obtained that demonstrate the effect of diffusion parameters.
Keywords: anisotropy, generalized thermoelasticity, diffusion, plane waves, reflection, reflection coefficients.