Influence of the Electromagnetic Energy Due to Cellular Devices in a Multi-Layer Human Head under Two-Temperature Heat Conduction Model

Ibrahim A. Abbas, Hamdy M. Youssef () and Alaa A. El-Bary
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Ibrahim A. Abbas: Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt
Hamdy M. Youssef: Mathematics Department, Faculty of Education, Alexandria University, Alexandria 21526, Egypt
Alaa A. El-Bary: Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria 21532, Egypt

Mathematics, 2022, vol. 10, issue 18, 1-18

Abstract: In this study, a mathematical model of a human head with three layers of skin, bone, and brain for both children and adults was created. The phase-lag time definition was used to evaluate the internal thermal reaction that is created via the human head as a result of chemical processes. In the framework of the two-temperature heat conduction model, the governing equations were developed. The inversions were numerically derived using an approximation approach after applying Laplace transforms. When the human head is exposed to cellular devices that emit an electromagnetic wave, the dynamic and conductive temperature increments distributions have been calculated and discussed with various values of the two-temperature parameter, time, relaxation time, power transmission frequency, and power density. Each layer of the human cranium is affected by all of the characteristics analysed. The impacts of electromagnetic waves emitted by cellular devices were more detrimental to the bones of children’s heads than they are to the bones of adults’ heads.

Keywords: two-temperature; human head; skin; bone; brain; relaxation time; electromagnetic energy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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