Skip to main content
SpringerLink
Log in

Magneto-Photo-Thermo-Microstretch Semiconductor Elastic Medium Due to Photothermal Transport Process

  • Original Paper
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

Electro-magnetic-thermal-microstretch elastic mathematical-physical model of semiconductor medium is investigated. The governing equations are studied in the context of photo-thermoelasticity theory during photothermal transport process. The semiconductor medium is exposed to an external magnetic field and a beam of laser. The coupled between electromagnetic field, thermal, elastic and plasma waves when the inertia-microstretch properties of elastic semiconductor material is taken into account. The main physical quantities are taken during two dimensions (2D) electronic-elastic deformation. The microinertia of microelement under the impact of external magnetic field is taken into consideration. The harmonic wave solutions in 2D with time variation is used to obtain the main physical fields. To obtain the complete solutions of the physical fields, some mechanical-thermal-elastic and plasma conditions for the semiconductor medium are taken at the boundary. The physical constants of the silicon (Si) material are used to make the numerical simulations and obtained the physical variables with the horizontal distance graphically. Many comparisons are made according to the thermal memories and the magnetic field influence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Data Availability

In this article, no informational indexes are made or settled in the running examination information.

References

  1. Misra JC, Chattopadhyay NC, Samanta SC (1996) Study of the thermoelastic interactions in an elastic half space subjected to a ramp-type heating—a state-space approach. Int J Eng Sci 34(5):579–596

    Article  Google Scholar 

  2. Eringen, A. Cemal, linear theory of micropolar elasticity, J Math Mech, 909-923, (1966)

  3. Eringen A (1990) Cemal, theory of thermo-microstretch elastic solids. Int J Eng Sci 28(12):1291–1301

    Article  Google Scholar 

  4. Singh B (2001) Reflection and refraction of plane waves at a liquid/thermo-microstretch elastic solid interface. Int J Eng Sci 39(5):583–598

    Article  CAS  Google Scholar 

  5. Othman M, Lotfy K (2015) The influence of gravity on 2-D problem of two temperature generalized thermoelastic medium with thermal relaxation. J Comput Theor Nanosci 12:2587–2600

    Article  CAS  Google Scholar 

  6. Cicco D, Nappa L (1999) On the theory of thermomicrostretch elastic solids. J. Therm. Stress 22(6):565–580

    Article  Google Scholar 

  7. Othman M, Lotfy K (2010) On the plane waves of generalized thermo-microstretch elastic half-space under three theories. Int. Comm. Heat and Mass Trans 37(2):192–200

    Article  Google Scholar 

  8. Lotfy K, Abo-Dahab SM (2015) Two-dimensional problem of two temperature generalized thermoelasticity with normal mode analysis under thermal shock problem. Journal of Computational and Theoretical Nanoscience 12(8):1709–1719

    Article  Google Scholar 

  9. Othman M, Lotfy K (2011) Effect of rotating on plane waves in generalized thermo-microstretch elastic solid with one relaxation time. Multidiscipline Modeling in Mat and Str 7(1):43–62

    Google Scholar 

  10. Ramesh G, Prasannakumara B, Gireesha B, Rashidi M (2016) Casson fluid flow near the stagnation point over a stretching sheet with variable thickness and radiation. Journal of Applied Fluid Mechanics 9(3):1115–1122

    Article  Google Scholar 

  11. Ezzat M, Abd-Elaal M (1997) Free convection effects on a viscoelastic boundary layer flow with one relaxation time through a porous medium. Journal of the Franklin Institute 334(4):685–706

    Article  Google Scholar 

  12. Khan A, Bukhari S, Marin M, Ellahi R (2019) Effects of chemical reaction on third-grade MHD fluid flow under the influence of heat and mass transfer with variable reactive index. Heat Transfer Research 50(11):1061–1080

    Article  Google Scholar 

  13. M. Bhatti, M. Marin, A. Zeeshan, R. Ellahi, S. Abdelsalam, Swimming of Motile Gyrotactic Microorganisms and Nanoparticles in Blood Flow Through Anisotropically Tapered Arteries, Frontiers in Physics, 8, 1–12, (2020).

  14. Gordon JP, Leite RCC, Moore RS, Porto SPS, Whinnery JR (1964) Long-transient effects in lasers with inserted liquid samples. Bull. Am. Phys. Soc. 119:501–510

    Google Scholar 

  15. Kreuzer LB (1971) Ultralow gas concentration infrared absorption spectroscopy. J Appl Phys 42:2934–2943

    Article  CAS  Google Scholar 

  16. Tam AC (1983) Ultrasensitive Laser Spectroscopy. Academic Press, pp 1–108

    Book  Google Scholar 

  17. Tam AC (1986) Applications of photoacoustic sensing techniques. Rev Mod Phys 58:381–431

    Article  CAS  Google Scholar 

  18. Tam AC (1989) Photothermal Investigations in Solids and Fluids. Academic Press, pp 1–33

    Google Scholar 

  19. Hobinya A, Abbas I (2019) A GN model on photothermal interactions in a two-dimensions semiconductor half space. Results in Physics 15:102588

    Article  Google Scholar 

  20. Todorovic DM, Nikolic PM, Bojicic AI (1999) Photoacoustic frequency transmission technique: electronic deformation mechanism in semiconductors. J Appl Phys 85:7716–7726

    Article  CAS  Google Scholar 

  21. Song YQ, Todorovic DM, Cretin B, Vairac P (2010) Study on the generalized thermoelastic vibration of the optically excited semiconducting microcantilevers. Int J Solids Struct 47:1871–1875

    Article  Google Scholar 

  22. Lotfy K (2016) The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field. Can J Phys 94:400–409

    Article  CAS  Google Scholar 

  23. Lotfy K (2018) A novel model of Photothermal diffusion (PTD) fo polymer Nano- composite semiconducting of thin circular plate. Physica B- Condenced Matter 537:320–328

    Article  CAS  Google Scholar 

  24. Kh. Lotfy, R. Kumar, W. Hassan and M. Gabr. Thermomagnetic effect with microtemperature in a semiconducting Photothermal excitation medium Appl. Math. Mech. Engl. Ed., 39(6), 783–796(2018)

  25. Lotfy K, Gabr M (2017) Response of a semiconducting infinite medium under two temperature theory with photothermal excitation due to laser pulses. Opt Laser Technol 97:198–208

    Article  CAS  Google Scholar 

  26. Lotfy K (2017) Photothermal waves for two temperature with a semiconducting medium under using a dual-phase-lag model and hydrostatic initial stress. Waves in Random and Complex Media 27(3):482–501

    Article  Google Scholar 

  27. Kh. Lotfy, 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. Sci. Rep., 9, ID 3319 (2019)

  28. Lotfy K (2019) Effect of variable thermal conductivity during the Photothermal diffusion process of semiconductor medium. Silicon 11:1863–1873

    Article  CAS  Google Scholar 

  29. Abbas I, Alzahranib F, Elaiwb A (2019) A DPL model of photothermal interaction in a semiconductor material. Waves Random Complex Media 29:328–343

    Article  Google Scholar 

  30. Khamis A, El-Bary A, Lotfy K, Bakali A (2020) Photothermal excitation processes with refined multi dual phase-lags theory for semiconductor elastic medium. Alex Eng J 59(1):1–9

    Article  Google Scholar 

  31. Lotfy K, El-Bary A, El-Sharif A (2020) Ramp-type heating micro-temperature for a rotator semiconducting material during photo-excited processes with magnetic field. Results in Phys 19:103338

    Article  Google Scholar 

  32. Lotfy K (2019) Effect of variable thermal conductivity and rotation of semiconductor elastic medium through two-temperature photothermal excitation. Waves in random and complex media. https://doi.org/10.1080/17455030.2019.1588483

    Chapter  Google Scholar 

  33. Lotfy K, Tantawi R, Anwer N (2019) Response of semiconductor medium of variable thermal conductivity due to laser pulses with two-temperature through Photothermal process. Silicon 11:2719–2730

    Article  CAS  Google Scholar 

  34. Yasein M, Mabrouk N, Lotfy K, EL-Bary A (2019) The influence of variable thermal conductivity of semiconductor elastic medium during photothermal excitation subjected to thermal ramp type. Results in Phys. 15:102766

    Article  Google Scholar 

  35. Mondal S, Sur A (2020) Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses. Waves in random and complex media. https://doi.org/10.1080/17455030.2019.1705426

    Chapter  Google Scholar 

  36. Lord H, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 15:299–309

    Article  Google Scholar 

  37. Green A, Lindsay K (1972) Thermoelasticity. Thermoelasticity J Elast 2:1–7

    Article  Google Scholar 

  38. Biot M (1956) Thermoelasticity and irreversible thermodynamics. J Appl Phys 27:240–253

    Article  Google Scholar 

  39. Deresiewicz H (1957) Plane waves in a thermoelastic solid. J Acoust Soc Am 29:204–209

    Article  Google Scholar 

  40. Chadwick P, Sneddon IN (1958) Plane waves in an elastic solid conducting heat. J Mech Phys Solids 6:223–230

    Article  Google Scholar 

  41. Lotfy K, Abo-Dahab SM, Tantawi R, Anwer N (2020) Thermomechanical response model of a reflection photo thermal diffusion waves (RPTD) for semiconductor medium. Silicon 12(1):199–209

    Article  CAS  Google Scholar 

Download references

Acknowledgments

I’m appreciative to the officials and the supervisor for the flawless explanation of the paper and for their remarks and proposition, which have revised the paper.

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box44519, Zagazig, Egypt

    Kh. Lotfy

  2. Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia

    Kh. Lotfy

  3. Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt

    A. A. El-Bary

  4. National Committee for Mathematics, Academy of Scientific Research and Technology, Cairo, Egypt

    A. A. El-Bary

Authors
  1. Kh. Lotfy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. El-Bary
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

Kh. Lotfy: Conceptualization, Methodology, Writing- Original draft preparation, New software, Data curtain. A. El-Bary: Supervision, Visualization. Merfat Raddadi: Investigation, Software, Validation. All authors: Writing- Reviewing and Editing the revised manuscript.

Corresponding author

Correspondence to Kh. Lotfy.

Ethics declarations

This study and all procedures performed involving human participants were in accordance with the ethical standards.

Consent to Participate

All authors consent to participate to this publication.

Consent for Publication

All authors consent to the publication of the manuscript in SILICON, should the article be accepted by the Editor-inchief upon completion of the refereeing process.

Competing Interests

The authors have declared that no competing interests exist.

Disclosure Statement

No potential conflict of interest was reported by the author.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lotfy, K., El-Bary, A.A. Magneto-Photo-Thermo-Microstretch Semiconductor Elastic Medium Due to Photothermal Transport Process. Silicon 14, 4809–4821 (2022). https://doi.org/10.1007/s12633-021-01205-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12633-021-01205-1

Keywords

Search

Navigation