The thermally stressed state of the glass shell of a kinescope under heating by electromagnetic radiation

Gachkevich, A. R.; Drabyk, V. O.; Malkiel, Brenda; Terletskii, R. F.

doi:10.1007/bf01097299

Cited by 3 publications

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“…For the same glass, the value of the absorption factor obtained experimentally in the range above the threshold wavelength th = 2.73 m is 10 3 m 1 [15]. This is why, for the investigated materials, the value of the absorption factor a within the range from max to 50 m can be considered to be no smaller than the value obtained on the boundary of the measurement range.…”

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confidence: 78%

“…The variant is a generalization of the model of thermomechanics of bodies of low electric conductivity (that are semitransparent for EMR of light frequency range) in external quasistationary EMFs of radio frequency range [6,12,53]. Based on it, the thermomechanical behavior of plates and spherical bodies under thermal irradiation was investigated depending on energy-spectral parameters of its source [15,18,38]. In addition to the mentioned works, in [59,65], individual problems of the thermoelastic state of semitransparent bodies under the action of thermal radiation were considered, and, in [14], analogous problems were analyzed for opaque bodies.…”

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confidence: 99%

“…For numerical calculations, as a material of a semitransparent layer, we chose S95-3 glass with the following thermophysical and radiation characteristics [15,46,57]…”

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confidence: 99%

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Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation

2010

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Features of the statement of problems of thermomechanics for solids of various transparencies for thermal radiation are presented. Approximate approaches to the calculation of temperature in semitransparent solids are analyzed. We investigate the influence of the effects of radiation and transfer of thermal energy on temperatures and stresses in semitransparent and opaque solids on a model problem for an irradiated layer.

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Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation

2010

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“…(9), neglecting the effect of the admixture on the radiation field. For this approximation the expression for the intensity is given in [4], and can be written as…”

Section: Ap+ap2=ap=---~ina ~ Ixn(~t~)dl Is the Planck Absorption Cmentioning

confidence: 99%

“…If we neglect the effect of thermal conductivity on the temperature distribution in the solution (which is possible when the heating of the body by the sources Q is sufficiently intense [4,5]), the rate of heating will be dlr Q where C is the specific heat capacity of the solution. Therefore, taking account of the relation dt pC PA = pc, we fend that relations (23) assume the form…”

Section: Dt P Ac~mentioning

confidence: 99%

Diffusion of a gaseous admixture in a semitransparent solid body due to electromagnetic radiation in the infrared range

Gachkevich¹,

Kurnitskii²,

Terletskii³

1998

J Math Sci

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We propose a mathematical model for quantitative description of the diffusion process of a gaseous admixture in a solid body (a solid solution) due to electromagnetic radiation in the infrared range. We write out the original relations that describe the diffusion of the admixture in a layer subject to electromagnetic radiation in the heated body.Mass transfer in a multi-component solid body (or a solid solution) may be caused not only by a nonuniform distribution of the concentration of the individual components over the volume, but also by processes of a different physical character, especially electromagnetic, thermal, and mechanical actions. In the continuous models of solid solutions known in the literature the coupling of electromagnetic and diffusion processes is taken into account by adding constituent connections that describe either the coupling between the parameters that characterize the process [17,18] or the thermodynamic fluxes caused by ponderomotor forces (or mass forces equivalent to them) acting on the individual components [1, 13]--the so-called "forced" diffusion. With the first approach it is necessary to determine experimentally the new "electromagnetic/diffusion" characteristics, and with the second it is necessary to determine the forces that act on the individual components of the body, which may differ in their electric or magnetic properties. In the literature the second approach has been applied only to study diffusion in a binary ion solution caused by a stationary electric field [13].The purpose of the present paper is to study diffusion in a semitransparent solid body due to electromagnetic radiation in the infrared range.Our point of departure is the continuous model of a solid solution, in which the balance equation of mechanics and the first and second laws of thermodynamics are written in the context of the single continuum approach for the single continuum of the center of mass of its components. In constructing the constituent connections we apply the assumption of local equilibrium and the methods of nonequilibrium thermodynamics [7,8]. Then by the Euler (field) approach to describing the physical proc~esses being studied in the body the mass-balance law for the k-th component of an n-component solution when there are no chemical reactions in the body has the form [7,8] From nonequilibrium thermodynamics, using the condition of linearity of the constituent connections between the thermodynamic flows and the forces (Onsager's principle) taking account of the connection of the diffusion and thermal processes and the presence of solid forces acting on the body, we obtain the following expression for the total flux of mass of the k-th component [1]: j, = j~r) + j~, + j~/).Here j~r), j~), j/) are the mass fluxes connected with heat transfer (thermodiffusion), the nonuniform distribution of concentrations of the k-th component in the solution, and the action of solid forces on it (the "forced" diffusion), which have the form

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Mathematical models of thermomechanics of magnetizable and polarizable electrically conducting bodies subject to quasisteady electromagnetic radiation

Hachkevych¹

1999

J Math Sci

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We give a brief survey of recent research on the problems of mathematical modeling of the thermomechanical behavior of deformable bodies with different electrical conductivity, magnetizability, and polarizability subject to a quasisteady electromagnetic field in the radio and infrared frequency ranges.The joint study of mechanical, thermal, and electromagnetic processes in electrically conducting bodies has attracted the attention of researchers because of the wide practical application of electromagnetic fields over the past few decades in the manufacture and processing of structural elements and devices made of traditional and new electromagnetic materials [54,55]. To construct rational regimes for such processes or use of equipment that functions subject to electromagnetic loads, it is necessary to create a method of mathematical modeling and effective methods of determining the thermostressed state of bodies of arbitrarily electrical conductivity that are magnetizable and polarizable and subject to external electromagnetic fields, in particular the quasistatic fields [36,40] that are widely applied in engineering practice.The system of initial equations of the physico-mathematical model for determining the thermostressed state of electrically conducting bodies subject to an electromagnetic field taking account of the interaction of mechanical, thermal, and electromagnetic processes includes the equations of electrodynamics and thermomechanics with heat sources and bulk force factors (ponderomotor forces and moments) caused by the electromagnetic field. Such a system is coupled and nonlinear, when account is taken of the generalized Ohm's law, the relations between the inductions and intensities of the electric and magnetic fields for arbitrarily moving conducting media that can be magnetized and polarized [36,42], the expressions for the force factors and heat emission [34,42], the coupling of the strain and temperature fields [33], and the temperature dependence of the characteristics of the material [10,33].Since rigid bodies may differ significantly in electrophysical properties and the general theory of interaction of an electromagnetic field with a material continuum mentioned above is rather complicated, it is vital to construct specially designed variants of the theory of interaction for smaller classes of materials by taking account of the specifics of their characteristic properties in processes involving electrical conduction, magnetization and polarization as functions of the amplitude-frequency characteristics of the electromagnetic field [ 10,34].In a number of studies in determining the thermostressed state of electrically conducting nonferromagnetic unpolarized bodies in a quasistatic and nonstationary (in particular, pulsing) electromagnetic field, the effect of this field on the processes of heat conduction and strain is taken into account through the Joule heat emission and the ponderomotor forces, while the effect of motion of the medium on the current is assumed unimportant [40,55].In this...

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The thermally stressed state of the glass shell of a kinescope under heating by electromagnetic radiation

Cited by 3 publications

References 1 publication

Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation

Some problems of mathematical modeling in thermomechanics of bodies of various transparencies subjected to thermal irradiation

Diffusion of a gaseous admixture in a semitransparent solid body due to electromagnetic radiation in the infrared range

Mathematical models of thermomechanics of magnetizable and polarizable electrically conducting bodies subject to quasisteady electromagnetic radiation

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