Numerical estimation of temperature response with step heating of a multi-layer skin under the generalized boundary condition

• Published in: Journal of thermal biology 2022-08, Vol.108, p.103278-103278, Article 103278
• Main Authors: Chaudhary, Rajneesh Kumar, Chaurasiya, Vikas, Singh, Jitendra
• Format: Article
• Language: English
• Subjects: Blood perfusion rate; Finite difference scheme; Generalized boundary condition; Interface condition; Multi-layer skin; Stability analysis
• ISSN: 0306-4565; 1879-0992
• DOI: 10.1016/j.jtherbio.2022.103278

In this article, we discussed a one-dimensional bioheat transfer mathematical model that describes the process of temperature distribution in tissue for the multi-layer skin under the step heating generalized boundary condition. The finite difference scheme is used to estimate the temperature profile along with time and distance. We discussed the stability of the numerical scheme and also validated the accuracy of the numerical code by comparing the present results with the previous reference results. To remove heat from the skin is considered by the surface temperature, heat flux, and ambient temperature to be zero with the help of the unit step like function. Then, we observed that the skin temperature in the second kind boundary condition was slowly decreasing over time as compared to the first and third kind boundary conditions. The temperature or heat flux at the skin surface is assumed to be high then there is negligible effect of the blood perfusion rate on the temperature response over a short time period and the effect of blood perfusion rate is visible when the time duration is long. Effect of blood perfusion rate, heating and after removal of heating, water diffusion, and generalized boundary condition for the analysis of the behavior of temperature response in multi-layer skin are discussed in detail and the results obtained are presented graphically. •1-D bioheat transfer model for temperature profile along with time and distance.•A numerical solution is obtained with interface and generalized boundary conditions.•The generalized boundary condition is applied to the outer skin as the step heating.•The stability of numerical scheme is discussed.•Wbo shows negligible effect over a short period and is visible when duration is long.