Microsystem Technologies

, Volume 25, Issue 2, pp 413–422 | Cite as

Influence of thermal wave emitted by the cellular devices on the human head

  • Alaa A. El-Bary
  • Hamdy M. YoussefEmail author
  • M. A. Omar
  • Khaled T. Ramadan
Technical Paper


In this work, a mathematical model of three layers system represents how the external thermal shock passing through the three layers of the head: skin, bone, and brain. In this model, we will take into account the internal heat source generated within the human head from the chemical reactions of the tissue and the lag-time to study the response time of the tissue takes due to the perturbation. The materials parameters of the head for an adult and a child have been used to studying and comparing the two cases. Laplace transforms have been used and the inversions have been calculated numerically. We studied the thermal distribute through the human head with different values of time, depth, relaxation time, the frequency of power transmission, and power density. It was shown that all that parameters have significant effects on the human head and the thermal distribution is more harmful to the child than the adult.



Authors acknowledge Arab Academy for Science and Technology and Maritime Transport for financial supporting this project under second round of internal calls 2017.

Compliance with ethical standards

Conflict of interest

The authors has no conflict of interest with any other authors or other work.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Alaa A. El-Bary
    • 1
  • Hamdy M. Youssef
    • 2
    Email author
  • M. A. Omar
    • 1
  • Khaled T. Ramadan
    • 1
  1. 1.Basic and Applied Science DepartmentArab Academy for Science and TechnologyAlexandriaEgypt
  2. 2.Mathematics Department, Faculty of EducationAlexandria UniversityAlexandriaEgypt

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