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Modelling Pennes’, bioheat transfer equation in thermoelasticity with one relaxation time

Author

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  • Shreen El-Sapa
  • Alaa A. El-Bary
  • Wedad Albalawi
  • H. M. Atef

Abstract

In this study, we develop the heat conduction equation for bio-thermoelastic skin tissue with one relaxation time using Penne’s principle, the first law of thermodynamics, and the second law of thermodynamics. We use these novel governing equations to explore the influence of arterial blood temperature on physical parameters in homogeneous, isotropic, thermally conducting half-space skin tissue. Normal mode analysis is applied in the domain to acquire analytical results for measured quantities. For a given skin tissue, these expressions are numerically calculated and graphically illustrated. The findings were predicted and tested for various values of arterial blood temperature.

Suggested Citation

  • Shreen El-Sapa & Alaa A. El-Bary & Wedad Albalawi & H. M. Atef, 2024. "Modelling Pennes’, bioheat transfer equation in thermoelasticity with one relaxation time," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 38(1), pages 105-121, January.
  • Handle: RePEc:taf:tewaxx:v:38:y:2024:i:1:p:105-121
    DOI: 10.1080/09205071.2023.2272612
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