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

被引:0
|
作者
Abbas, Ibrahim A. [1 ]
Youssef, Hamdy M. [2 ]
El-Bary, Alaa A. [3 ,4 ,5 ]
机构
[1] Sohag Univ, Fac Sci, Math Dept, Sohag 82524, Egypt
[2] Alexandria Univ, Fac Educ, Math Dept, Alexandria 21526, Egypt
[3] Arab Acad Sci Technol & Maritime Transport, Basic & Appl Sci Inst, POB 1029, Alexandria 21532, Egypt
[4] Acad Sci Res & Technol, Natl Comm Math, Cairo 11516, Egypt
[5] Acad Sci Res & Technol, Council Future Studies & Risk Management, Cairo 11516, Egypt
关键词
two-temperature; human head; skin; bone; brain; relaxation time; electromagnetic energy; GENERALIZED THERMOELASTICITY; ABSORPTION RATE; RADIATION; EXPOSURE; PROPAGATION; LEQUATION; EQUATION; TISSUE;
D O I
10.3390/math10183296
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页数:18
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