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.