Analyze the Bio-Thermal Behavior of the Human Eye Based on the Heat Conduction Law with One Relaxation Time

The environment and physiological factors influence thermal processes in human tissues, such as the multi-layered human eye. This work developed a mathematical model of the human eye that considers variations in blood perfusion, porosity, evaporation rate, and ambient temperatures based on a non-Fourier heat conduction rule with correct boundary and interface conditions. The numerical solution was derived using a direct technique and MAPLE 17 software, with the results shown in the figures. The impact of various values of the relaxation times factors on the temperature value in each layer of the human eye was initially investigated. Blood perfusion, porosity, evaporation rate, duration, and ambient temperatures have all been discussed in relation to the thermal wave passing through the human eye layers; they all have a significant impact on the thermal wave going through the human eye layers. In terms of validity, the results of this model corresponded with those of other studies.

Author(S) Details

Hamdy M. Youssef
Department of Mathematics-Faculty of Education, Alexandria University, Alexandria, Egypt and Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, 21955, KSA.

Alaa A. El-Bary
Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt.

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