Microsystem Technologies

, Volume 25, Issue 12, pp 4731–4740 | Cite as

Two-temperature high-order lagging effect of living tissue subjected to moving heat source

  • Alaa K. Khamis
  • Alaa A. El-Bary
  • Hamdy M. YoussefEmail author
  • Amir M. Nasr
Technical Paper


The work is dealing with the studying the effect of the moving heat source with constant velocity on the biological skin tissue. The heat conduction equation has been considered to be a two-temperature high-order thermal lagging model. A limited length of skin tissue has been constructed to be initially at rest and the first end subjected to constant heat flux while the second end has zero heat flux. Laplace transform has been applied and the inversion has been calculated numerically. The results show that the two-temperature parameter and the value of the heat source velocity have significant effects on the conductive and dynamical temperatures increment.



The authors wish to acknowledge the approval and the support of this research study by the grant from the dean- ship of scientific research in Northern Border University, Arar, Saudi Arabia by the Grant Number (7336–SCI– 2017– 1 – 8– 7).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceNorthern Border UniversityArarKingdom of Saudi Arabia
  2. 2.Basic and Applied Science InstituteArab Academy for Science and TechnologyAlexandriaEgypt
  3. 3.Mechanics Department, Faculty of Engineering and Islamic ArchitectureUmm Al-Qura UniversityMeccaKingdom of Saudi Arabia
  4. 4.Mathematics Department-Faculty of EducationAlexandria UniversityAlexandriaEgypt
  5. 5.Department of Statistics and Quantitative Methods, College of Business AdministrationNorthern Border UniversityArarKingdom of Saudi Arabia

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