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Refined Dual-Phase-Lag Theory for the 1D Behavior of Skin Tissue under Ramp-Type Heating.

Ashraf M Zenkour1,2, Tareq Saeed3, Amal M Aati1,4

  • 1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

Materials (Basel, Switzerland)
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Summary

This study analyzes thermoelastic skin tissue using a refined dual-phase-lag (DPL) model, revealing its behavior under ramp heating. The findings enhance understanding of bioheat transfer in skin.

Keywords:
bio-thermalramp-type heatingrefined DPL theoryskin tissue

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Area of Science:

  • Bioengineering
  • Thermoelasticity
  • Biophysics

Background:

  • Skin tissue exhibits complex thermal behavior.
  • Generalized thermoelasticity theories are crucial for understanding transient heat transfer.
  • Existing models may not fully capture multi-derivative thermal effects.

Purpose of the Study:

  • To present a mathematical analysis of thermoelastic skin tissue.
  • To apply a refined dual-phase-lag (DPL) thermal conduction theory.
  • To investigate the influence of multiple time derivatives on skin's thermal response.

Main Methods:

  • Modeling one-dimensional, mechanically clamped skin tissue.
  • Applying ramp-type heating on the outer surface.
  • Utilizing Laplace transform and numerical reversal techniques.

Main Results:

  • Derived temperature, displacement, dilatation, and stress distributions.
  • Demonstrated the significant influence of field variables on distributions.
  • Showcased the refined DPL model's predictive capability for skin temperature.

Conclusions:

  • The refined DPL bioheat conduction model aligns with existing generalized thermoelastic theories.
  • Provides a more comprehensive understanding of skin tissue response to thermal boundary conditions.
  • Highlights the importance of advanced thermal conduction theories in biological applications.