Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow

doi:10.1007/s10483-021-2682-6

Abstract

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.

Key words: photothermal, phase-lag (PL), solid cylinder, rotation, semiconductor, carrier concentration

2010 MSC Number:

74B10

A. E. ABOUELREGAL. Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 39-52.

TrendMD

References

[1] BRILMYER, G. H. and BARD, A. J. Application of photothermal spectroscopy to in-situ studies of films on metals and electrodes. Analytical Chemistry, 52, 685-691(1980)
[2] BIALKOWSKI, S. E. Photothermal Spectroscopy Methods for Chemical Analysis, John Wiley and Sons, New York (1996)
[3] ROSENCWAIG, A. Review of Progress in Quantitative Non-destructive Evaluation, Plenum, New York (1990)
[4] GORDON, 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. Journal of Applied Physics, 36, 3-8(1964)
[5] KREUZER, L. B. Ultralow gas concentration infrared absorption spectroscopy. Journal of Applied Physics, 42, 2934-2943(1971)
[6] SONG, Y., TODOROVIC, D. M., CRETIN, B., VAIRAC, P., XU, J., and BAI, J. Bending of semiconducting cantilevers under photothermal excitation. International Journal of Thermophysics, 35, 305-319(2014)
[7] SONG, Y., BAI, J., and REN, Z. Reflection of plane waves in a semiconducting medium under photothermal theory. International Journal of Thermophysics, 33, 1270-1287(2012)
[8] HOBINY, A. and ABBAS, I. A. GN model on photothermal interactions in a two-dimension semiconductor half space. Results in Physics, 15, 102588(2019)
[9] 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
[10] SAEED, T. and ABBAS, I. A. Analysis of thermal responses in a two-dimensional porous medium caused by pulse heat flux. Applied Mathematics and Mechanics (English Edition), 41(6), 927-938(2020) https://doi.org/10.1007/s10483-020-2612-8
[11] 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)
[12] ABOUELREGAL, A. E. Modified fractional photothermoelastic model for a rotating semiconductor half-space subjected to a magnetic field. Silicon (2020) https://doi.org/10.1007/s12633-020-00380-x
[13] BIOT, M. A. Thermoelasticity and irreversible thermodynamics. Journal of Applied Physics, 27, 240-253(1956)
[14] LORD, H. and SHULMAN, Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 15, 299-309(1967)
[15] GREEN, A. E. and LINDSAY, K. A. Thermoelasticity. Journal of Elasticity, 2, 1-7(1972)
[16] GREEN, A. E. and NAGHDI, P. M. A reexamination of the basic results of themomechanics. Proceedings of the Royal Society of London A, 432, 171-194(1991)
[17] GREEN, A. E. and NAGHDI, P. M. On undamped heat waves in an elastic solid. Journal of Thermal Stresses, 15, 252-264(1992)
[18] GREEN, A. E. and NAGHDI, P. M. Thermoelasticity without energy dissipation. Journal of Elasticity, 31, 189-208(1993)
[19] TZOU, D. Y. A unified field approach for heat conduction from macro to micro scales. ASME Journal of Heat Transfer, 117, 8-16(1995)
[20] WAGNER, R. E. and MANDELIS, A. Nonlinear photothermal modulated optical reflectance and photocurrent phenomena in crystalline semiconductors:I, theoretical. Semiconductor Science and Technology, 11, 289-299(1996)
[21] WAGNER, R. E. and MANDELIS, A. Nonlinear photothermal modulated optical reflectance and photocurrent phenomena in crystalline semiconductors:Ⅱ, experimental. Semiconductor Science and Technology, 11, 300-307(1996)
[22] NESTOROS, M., FORGET, B. C., CHRISTOFIDES, C., and SEAS, A. Photothermal reflection versustemperature:quantitative analysis. Physical Review B, 51, 14115-14123(1995)
[23] HOBINY, A. and ABBAS, I. A. A study on photothermal waves in an unbounded semiconductor medium with cylindrical cavity. Mechanics of Time-Dependent Materials, 21, 61-72(2017)
[24] SCHOENBERG, M. and CENSOR, D. Elastic waves in rotating media. Quarterly of Applied Mathematics, 31, 115-125(1973)
[25] 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)
[26] KUMAR, R. and CHAWLA, V. Fundamental solution for the plane problemin magnetothermoelastic diffusion media. Computational Methods in Science and Technology (CMST), 19, 195-207(2013)
[27] OTHMAN, M. I. A. and ABOUELREGAL, A. E. Magnetothermoelstic analysis for an infinite solid cylinder with variable thermal conductivity due to harmonically varying heat. Microsystem Technologies, 23, 5635-5644(2017)
[28] ZENKOUR, A. M. and ABOUELREGAL, A. E. Effect of temperature dependency on constrained orthotropic unbounded body with a cylindrical cavity due to pulse heat flux. Journal of Thermal Science and Technology, 10, 15-055(2015)
[29] HONIG, G. and HIRDES, U. A method for the numerical inversion of Laplace transform. Journal of Computational and Applied Mathematics, 10, 113-132(1984)
[30] TZOU, D. Y. Macro-to Micro-scale Heat Transfer:The Lagging Behavior, Taylor and Francis, Washington, D. C. (1996)
[31] AHMED, E. A. A., ABOU-DINA, M. S., and GHALEB, A. F. Plane wave propagation in a piezo-thermoelastic rotating medium within the dual-phase-lag model. Microsystem Technology, 26, 969-979(2020)
[32] OTHMAN, M. I. A., ELMAKLIZI, Y. D., and AHMED, E. A. A. Influence of magnetic field on generalized piezo-thermoelastic rotating medium with two relaxation times. Microsystem Technologies, 23, 5599-5612(2017)
[33] CHOUDHURY, M., BASU, U., and BHATTACHARYYA, R. K. On wave propagation in a rotating random micropolar generalized thermoelastic medium. Journal of Thermal Stresses, 43, 225-246(2020)
[34] ZENKOUR, A. M. and ABOUELREGAL, A. E. The fractional effects of a two-temperature generalized thermoelastic semi-infinite solid induced by pulsed laser heating. Archives of Mechanics, 67, 53-73(2015)
[35] ABOUELREGAL, A. E. and ZENKOUR, A. M. A generalized thermoelastic medium subjected to pulsed laser heating via a two-temperature model. Journal of Theoretical and Applied Mechanics, 57, 631-639(2019)