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

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Northern Border University, Arar, Kingdom of Saudi Arabia

    Alaa K. Khamis

  2. Basic and Applied Science Institute, Arab Academy for Science and Technology, P.O. Box 1029, Alexandria, Egypt

    Alaa A. El-Bary

  3. Mechanics Department, Faculty of Engineering and Islamic Architecture, Umm Al-Qura University, Mecca, Kingdom of Saudi Arabia

    Hamdy M. Youssef

  4. Mathematics Department-Faculty of Education, Alexandria University, Alexandria, Egypt

    Hamdy M. Youssef

  5. Department of Statistics and Quantitative Methods, College of Business Administration, Northern Border University, Arar, Kingdom of Saudi Arabia

    Amir M. Nasr

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  1. Alaa K. Khamis
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  2. Alaa A. El-Bary
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  3. Hamdy M. Youssef
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  4. Amir M. Nasr
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Correspondence to Hamdy M. Youssef.

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Khamis, A.K., El-Bary, A.A., Youssef, H.M. et al. Two-temperature high-order lagging effect of living tissue subjected to moving heat source. Microsyst Technol 25, 4731–4740 (2019). https://doi.org/10.1007/s00542-019-04443-x

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  • DOI: https://doi.org/10.1007/s00542-019-04443-x

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