The biothermal analysis of a human eye subjected to exponentially decaying laser radiation under the dual phase-lag heat conduction law

Abstract

In this paper, a biomathematical model of the human eye subjected to an exponentially decaying laser concerning the change in blood perfusion, porosity, evaporation rate, and ambient temperatures, has been constructed based on dual phase-lag (DPL) heat conduction law. The human eye has been divided into six layers. Appropriate boundary and interface continuity conditions have been considered. A separable function has been assumed, and twelve equations have been formulated in a matrix form. The solutions have been calculated by using MAPLE. The results have been shown in figures with different cases. The absolute temperature distribution based on various values of the power density of laser irradiation and relaxation times parameters have been discussed first. The effect of the porosity, evaporation rate, time, and ambient temperatures have also been discussed. The power density of laser irradiation, porosity, evaporation rate, time, and ambient temperatures have significant effects on the temperature passing through the human eye layers.

Keywords

• Human eye
• Laser radiation
• Blood perfusion
• Porosity
• Non-fourier law
• Heat conduction