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.
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References
BIOT, M. A. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics, 27, 240–253 (1956)
LORD, H. and SHULMAN, Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15, 299–309 (1967)
GREEN, A. E. and LINDSAY, K. A. Thermoelasticity. Journal of Elasticity, 2, 1–7 (1972)
LOTFY, K. Two temperature generalized magneto-thermoelastic interactions in an elastic medium under three theories. Applied Mathematics and Computations, 227, 871–888 (2014)
PURI, P. Plane waves in thermoelasticity and magneto-thermoelasticity. International Journal of Engineering Science, 10, 467–476 (1972)
NAYFEH, A. and NEMAT-NASSER, S. Transient thermo-elastic waves in a half-space with thermal relaxation. Zeitschrift für Angewandte Mathematik and Physik (ZAMP), 23, 50–68 (1972)
LOTFY, K. and HASSAN, W. Normal mode method for two-temperature generalized thermoelasticity under thermal shock problem. Journal of Thermal Stresses, 37(5), 545–560 (2014)
LOTFY, K. and ABO-DAHAB, S. M. Generalized magneto-thermoelasticity with fractional derivative heat transfer for a rotation of a fibre reinforced thermoelastic. Journal of Computational and Theoretical Nanoscience, 12(8), 1869–1881 (2015)
SINGH, S., KUMAR, D., and RAI, K. N. Convective-radiative fin with temperature dependent thermal conductivity, heat transfer coefficient and wavelength dependent surface emissivity. Propulsion and Power Research, 4, 207–221 (2014)
RAVIKANTH, A. S. V. and NIYAN, U. K. A Haar wavelet study on convective-radiative fin under continuous motion with temperature-dependent thermal conductivity. Walailak Journal of Science and Technology, 11(3), 211–224 (2014)
LOTFY, K. Effect of variable thermal conductivity and rotation of semiconductor elastic medium through two-temperature photothermal excitation. Waves in Random and Complex Media, 2019, 1588483 (2019)
GORDON, J. P., LEITE, R. C. C., MOORE, R. S., PORTO, S. P. S., and WHINNERY, J. R. Long-transient effects in lasers with inserted liquid samples. Bulletin of the American Physical Society, 119, 501–511 (1964)
KREUZER, L. B. Ultralow gas concentration infrared absorption spectroscopy. Journal of Applied Physics, 42, 2934–2942 (1971)
TAM, A. C. Ultrasensitive Laser Spectroscopy, Academic Press, New York (1983)
TAM, A. C. Applications of photoacoustic sensing techniques. Reviews of Modern Physics, 58, 381–389 (1986)
TODOROVIC, D. M., NIKOLIC, P. M., and BOJICIC, A. I. Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. Journal of Applied Physics, 85, 7716 (1999)
LOTFY, K. The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field. Canadian Journal of Physics, 94, 400–409 (2016)
ABO-DAHAB, S. and LOTFY, K. Two-temperature plane strain problem in a semiconducting medium under photothermal theory. Waves in Random and Complex Media, 27(1), 67–91 (2016)
LOTFY, K. and SARKAR, N. Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature. Mechanics of Time-Dependent Materials, 21, 519–534 (2017)
LOTFY, K. A novel model of magneto photothermal diffusion (MPD) on polymer nano-composite semiconductor with initial stress. Waves in Random and Complex Media, 2019, 1566680 (2019)
LOTFY, K. A novel model for photothermal excitation of variable thermal conductivity semiconductor elastic medium subjected to mechanical ramp type with two-temperature theory and magnetic field. Scientific Reports, 9, 3319 (2019)
HOBINY, A. and ABBAS, I. A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mechanics of Time-Dependent Materials, 6, 1–12 (2016)
EZZAT, M. and YOUSSEF, H. A thermal and thermal stress analysis in thermoelectric solid under the influence of Thomson effect. Journal of Thermoelasticity, 1(2), 4–12 (2013)
YASEIN, M., LOTFY, KH., MABROUK, N., EL-BARY, A. A., and HASSAN, W. Response of thermo-electro-magneto semiconductor elastic medium to photothermal excitation process with Thomson influence. Silicon (2020) https://doi.org/10.1007/s12633-019-00373-5
ABD-ELAZIZ, S. and HILAL, M. The influence of Thomson effect and inclined loads in an electro-magneto-thermoelastic solid with voids under green-Naghdi theories. Journal of Ocean Engineering and Science, 3(3), 253–264 (2018)
MANDELIS, A., NESTOROS, M., and CHRISTOFIDES, C. Thermo-electronic wave coupling in laser photothermal theory of semiconductors at elevated temperature. Optics Engineering, 36, 459–468 (1997)
TODOROVIC, D. M. Plasma, thermal, and elastic waves in semiconductors. Review of Scientific Instruments, 74, 582–590 (2003)
VASIL’EV, A. N. and SANDOMIRSKII, V. B. Photoacoustic effects in finite semiconductors. Soviet Physics: Semiconductors, 18, 1095–1099 (1984)
CHRISTOFIDES, C., OTHONOS, A., and LOIZIDOU, E. Influence of temperature and modulation frequency on the thermal activation coupling term in laser photothermal theory. Journal of Applied Physics, 92, 1280–1288 (2002)
SONG, Y. Q., BAI, J. T., and REN, Z. Y. Study on the reflection of photothermal waves in a semiconducting medium under generalized thermoelastic theory. Acta Mechanica, 223, 1545–1557 (2012)
LOTFY, K. A novel model of photothermal diffusion (PTD) for polymer nano-composite semiconducting of thin circular plate. Physica B: Condensed Matter, 537, 320–328 (2018)
HOBINY, A. and ABBAS, I. A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mechanics of Time-Dependent Materials, 21(1), 1–12 (2016)
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LOTFY, K., KHAMIS, A. K., EL-BARY, A. A., and AHMED, M. H. Thomson and rotation effects during photothermal excitation process in magnetic semiconductor medium using variable thermal conductivity. Applied Mathematics and Mechanics (English Edition), 41(6), 909–926 (2020) https://doi.org/10.1007/s10483-020-2613-9
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Lotfy, K., Khamis, A.K., El-Bary, A.A. et al. Thomson and rotation effects during photothermal excitation process in magnetic semiconductor medium using variable thermal conductivity. Appl. Math. Mech.-Engl. Ed. 41, 909–926 (2020). https://doi.org/10.1007/s10483-020-2613-9
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DOI: https://doi.org/10.1007/s10483-020-2613-9