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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.
Acknowledgments
Authors extend their appreciation to Princess Nourah Bint Abdulrahman University for funding this research under researchers supporting project number PNURSP2023R154, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Notes on contributors
Shreen El-Sapa
Shreen El-Sapa, received BSc degree from Alexandria University, Dept. of Mathematics, Faculty of Education in 2002. Received MSc degree from Alexandria University, Dept. of Mathematics, and Faculty of Science in 2010. Received PhD degree from Alexandria University, Dept. of Mathematics, and Faculty of Science in 2015. Since 2021, works as an Assistant Professor in faculty of science, Damanhur University. In 2022, work Assistance Professor at Princess Nourah Bint Abdulrahman University-Recent. Research area fluid Mechanics, Thermoelasticity, Magnetic field and Bio Thermoelasticity.
Alaa A. El-Bary
Alaa A. El-Bary, is a distinguished academic and researcher published more than 300 research papers in reputable journals and conferences. Currently serving as the Vice President for Postgraduates Studies and Scientific Research at the Arab Academy for Science, Technology & Maritime Transport (AASTMT) in Alexandria, Egypt. With a strong focus on applying innovative mathematical and computational approaches to solve complex physical problems, Prof. Abdel Bary has made significant contributions to the field. His expertise extends to the use of machine learning techniques for decision support systems, where he has demonstrated a keen ability to integrate cutting-edge technologies into practical applications. As the Vice President at AASTMT, he leads a dedicated team in the sector of higher studies and scientific research, overseeing numerous national and international projects in the field of science and technology.
Wedad Albalawi
Wedad Albalawi, An Associate Professor in Differential Geometry at Princess Nourah Bint Abdulrahman University - College of Science - Department of Mathematics. Academic researcher in pure mathematics in the specialization of Differential Geometry, Nonlinear Differential Equations, Mathematical and Engineering Analysis and their applications in other Sciences such as Engineering and Physics. Member of the Engineering research team-College of Engineering - Swansea University - UK. The Manager of the Quality and Mathematics Program at Princess Nourah Bint Abdulrahman University. Academic researcher in pure mathematics in the specialization of Differential Geometry, Nonlinear Differential Equations, Mathematical and Engineering Analysis and their applications in Engineering and Physics.
H. M. Atef
H. M. Atef received BSc degree from Alexandria University, Dept. of Mathematics, Faculty of Education in 2001. Received MSc degree from Alexandria University, Dept. of Mathematics, and Faculty of Science in 2011. Received PhD degree from Zagazig University, Dept. of Mathematics, and Faculty of Science in 2015. Since 2021, works as an Assistant Professor in faculty of science, Damanhur University-recent. Research area, Conformable Fractional, Thermoelasticity, Magnetic field and Bio Thermoelasticity.