Thomson and rotation effects during photothermal excitation process in magnetic semiconductor medium using variable thermal conductivity
08 Jun 2020-Applied Mathematics and Mechanics-english Edition (Springer Science and Business Media LLC)-Vol. 41, Iss: 6, pp 909-926
TL;DR: In this article, a strong magnetic field acting over an elastic rotator semiconductor medium is investigated, and the thermoelectricity theory is used to explain the behavior of waves in the homogenous and isotropic medium under the effect of variable thermal conductivity.
Abstract: This study investigates a strong magnetic field acting over an elastic rotator semiconductor medium. The Thomson effect due to the magnetic field during the photothermal transport process is studied, and the thermoelectricity theory is used to explain the behavior of waves in the homogenous and isotropic medium under the effect of variable thermal conductivity. The variable thermal conductivity is considered as a linear function of the temperature. The two-dimensional deformation equations are used to describe the overlaps among plasma, electrical, thermal, and magneto-elastic waves. The charge density of inertia-particles is considered as a function of time for studying the induced electric current. The normal mode analysis is used to obtain the exact solutions of the physical field distributions as part of this phenomenon. To obtain the complete solutions of the physical field quantities, the certain mechanical loads, electromagnetic effects, thermal effects, and plasma recombination process are applied herein. The results of the physical distributions are graphically depicted and discussed in consideration of the internal heat source, rotation, and Peltier coefficient.
Citations
More filters
TL;DR: In this article, a photo-thermoelasticity model for a semiconductor elastic medium, which is in a rotation case, was obtained theoretically and the interaction between main physical quantities during photothermal transport process is expressed in the governing equations, and numerical-refined multi-phase-lags relaxation times (thermal memories) are studied in the context of the heat equation when the medium is exposed to an external magnetic field.
Abstract: A novel model in photo-thermoelasticity theory is investigated in the paper understudy. The model is obtained theoretically for a semiconductor elastic medium, which is in a rotation case. The interaction between main physical quantities during photothermal transport process is expressed in the governing equations. In addition, the numerical-refined multi-phase-lags relaxation times (thermal memories) are studied in the context of the heat equation when the medium is exposed to an external magnetic field. Moreover, the harmonic wave method in two-dimensional (2D) is introduced during the coupling processes between multi-waves. As such, the complete exact solutions of the main physical fields of semi-infinite semiconductor medium are obtained. Some plasma, mechanical and thermal forces are applied at the outer surface of the elastic medium to determine the unknown parameters. Many comparisons are displayed graphically when the physical constants of silicon (Si) material are used. Theoretical results are discussed under the impact of magnetic field and rotation field.
34 citations
TL;DR: In this article, a mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect, and the system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique.
Abstract: A mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect. The system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique. The photothermal, thermal, and elastic waves in a rotating solid cylinder of semiconductor material are analyzed with the proposed model. The cylinder surface is constrained and subjected to a time-dependent pulse heat flux. The sensitivity of the physical fields for the angular velocity, PLs, and thermal vibration parameters is investigated. In addition, the effects of the effective parameters on the physical quantities are graphically illustrated and discussed in detail.
15 citations
TL;DR: In this paper, a model of the governing equations is investigated due to the refined multi-phase-lags with the thermal relaxation times of the heat equation with the hydrostatic initial stress during transport process of the photothermal phenomenon.
Abstract: The semiconductor elastic medium in the context of the photothermal theory under the influence of rotation field is studied. A novel model of the governing equations is investigated due to the refined multi-phase-lags with the thermal relaxation times of the heat equation with the hydrostatic initial stress during transport process of the photothermal phenomenon. The interaction between the multi-waves of elastic-thermal-plasma is obtained. The normal mode method in the two dimensions is applied to obtain the exact solutions of the basic physical quantities under investigation. Plasma, thermal and mechanical loads have been applied on the free surface of the semi-infinite semiconductor elastic medium to get the complete solutions of the basic physical fields. Some comparisons are shown graphically and they are discussed as a function of thermal memories with the variation of some parameters. Silicon (Si) material is used to make the numerical simulation and to display the sensitivity to the variation of the rotation parameter.
7 citations
TL;DR: In this article, a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature was considered to cope up with its two-dimensional (2D) deformations.
Abstract: The study considers a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature to cope up with its two-dimensional (2D) deformations. The heat conduction equation is influenced by the Thomson coefficient. Lord-Shulman’s theory is used to modify the basic governing equations. A method called “normal mode analysis” is utilized to attain the magnetic field, stress, conductive and thermodynamic temperature, and displacement components. Also, a number of numerical calculations are performed and discussed to understand the impact of hyperbolic two-temperatures, Thomson parameter, and viscosity on the material mentioned above.
4 citations
TL;DR: In this paper, a mathematical model of the human eye concerning the change in blood perfusion, porosity, evaporation rate, and ambient temperatures has been formulated based on non-Fourier heat conduction law with appropriate boundary and interface conditions.
Abstract: The environment and the physiological conditions play a vital role in the thermal processes in the human tissues, such as the multi-layered human-eye. In this work, a mathematical model of the human eye concerning the change in blood perfusion, porosity, evaporation rate, and ambient temperatures has been formulated based on non-Fourier heat conduction law with appropriate boundary and interface conditions. A direct method and MAPLE 17 software was used to get the numerical solution, and the results have been shown in figures. The temperature distribution based on various values of the relaxation times parameters has been discussed first to stand on its effect on the value of the temperature in each layer of the human eye. The impact of the blood perfusion, porosity, evaporation rate, time, and ambient temperatures have been discussed; they have significant effects on the thermal wave passing through the human eye layers. For validity, the results of this model have agreed with the results of some other works.
3 citations
References
More filters
TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Abstract: In this work a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of the heat flow. The theory takes into account the coupling effect between temperature and strain rate, but the resulting coupled equations are both hyperbolic. Thus, the paradox of an infinite velocity of propagation, inherent in the existing coupled theory of thermoelasticity, is eliminated. A solution is obtained using the generalized theory which compares favourably with a known solution obtained using the conventional coupled theory.
3,266 citations
TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Abstract: A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a ``thermoelastic potential'' and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The general laws of thermoelasticity are formulated in a variational form along with a minimum entropy production principle. This leads to equations of the Lagrangian type, and the concept of thermal force is introduced by means of a virtual work definition. Heat conduction problems can then be formulated by the methods of matrix algebra and mechanics. This also leads to the very general property that the entropy density obeys a diffusion‐type law. General solutions of the equations of thermoelasticity are also given using the Papkovitch‐Boussinesq potentials. Examples are presented and it is shown how the generalized coordinate method may be used to calculate the thermoelastic internal damping of elastic bodies.
2,287 citations
IBM1
TL;DR: In this article, the theory and applications of photo-acoustic (also called optoacoustic) methods belonging to the more general area of photothermal measurement techniques are reviewed, covering excitation of gaseous or condensed samples with modulated continuous light beams or pulsed light beams.
Abstract: This paper reviews the theory and applications of photoacoustic (also called optoacoustic) methods belonging to the more general area of photothermal measurement techniques. The theory covers excitation of gaseous or condensed samples with modulated continuous light beams or pulsed light beams. The applications of photoacoustic methods include spectroscopy, monitoring deexcitation processes, probing physical properties of materials, and generating mechanical motions. Several other related photothermal methods, as well as particle-acoustics and wave-acoustics methods are also described. This review complements an earlier and narrower review [Rev. Mod. Phys. 53, 517 (1981)] that is mainly concerned with sensitive detection by pulsed photoacoustic spectroscopy in condensed matter.
1,183 citations
TL;DR: In this paper, buildup and decay transients were observed when polar or nonpolar liquid cells were placed within the resonator of a helium-neon laser operating in the red at 6328 A.
Abstract: Buildup and decay transients were observed when polar or nonpolar liquid cells were placed within the resonator of a helium—neon laser operating in the red at 6328 A. Similar but smaller effects were also observed with two solids. Time constants were the order of a few seconds for all materials, which suggests a thermal phenomenon, but general heating effects were ruled out by the strong localization of the phenomenon. Transverse motion of the cell by about one beam width caused new transients similar to the initial ones.It is believed that the effects are caused by absorption of the red light in the material, producing a local heating in the vicinity of the beam and a lens effect arising from the transverse gradient of refractive index. Absorptions of 10−3 to 10−4 parts per centimeter are sufficient to produce the effects, and are believed to be reasonable values for the materials studied. One of the most important applications may in fact be for the measurement of small absorbancies.The experiments are ...
992 citations
TL;DR: In this article, a new technique was presented for obtaining the absorption spectra of small samples and low concentrations of gases, which makes use of currently available sources of wavelength-tunable intense coherent light such as the optical parametric oscillator, dye laser, or tunable diode laser.
Abstract: A new technique is presented for obtaining the absorption spectra of small samples and low concentrations of gases. The technique makes use of currently available sources of wavelength‐tunable intense coherent light such as the optical parametric oscillator, dye laser, or tunable diode laser. The absorbed power is detected by the heating and resultant pressure rise in the absorbing gas. An initial experiment with a 15‐mW He–Ne laser operating at 3.39 μ has shown a sensitivity adequate to measure the absorption of a concentration of 10−8 of methane in nitrogen. It is expected that, with higher‐power sources of tunable ir radiation, it may be possible in the future to detect concentrations of impurities as low as 10−13.
498 citations