The thermal behavior analysis of the human eye under the heat conduction law with one relaxation time

Abstract

The environment and the physiological conditions play a vital role in the thermal processes in the human tissues, such as the multi-layered human-eye. In this work, a mathematical model of the human eye concerning the change in blood perfusion, porosity, evaporation rate, and ambient temperatures has been formulated based on non-Fourier heat conduction law with appropriate boundary and interface conditions. A direct method and MAPLE 17 software was used to get the numerical solution, and the results have been shown in figures. The temperature distribution based on various values of the relaxation times parameters has been discussed first to stand on its effect on the value of the temperature in each layer of the human eye. The impact of the blood perfusion, porosity, evaporation rate, time, and ambient temperatures have been discussed; they have significant effects on the thermal wave passing through the human eye layers. For validity, the results of this model have agreed with the results of some other works.