In this paper, the temperature distribution in the multi-layer of the skin is studied when the skin surface is subjected to most generalized boundary condition. Our skin model consists of three layers known as the epidermis, dermis, and subcutaneous layers. All layers of skin are assumed to be connected with point of interface condition and taking the barrier in between each of the two layers by symmetric flux condition and analyzing each layer separately. The classical Fourier and non-Fourier (DPL) models are extended to analyze the behavior of heat transfer in the multi-layer of the skin. The Laplace transform technique is used to derive analytical solutions for the multi-layer of skin models. The effects of the variability of different parameters such as relaxation time, layer thickness, and different types of boundary conditions on the behavior of temperature distribution in the multi-layer of skin are analyzed and discussed in detail. All the effects are shown graphically. It has been observed that during temperature distribution in the multi-layer of skin, the measurement of skin damage is less on the DPL model (τq ≥ τt) in comparison to the classical Fourier model.

中文翻译：

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不同边界条件下多层皮肤经典傅里叶和DPL模型的热损伤分析

本文研究了皮肤表面受最广义边界条件影响时皮肤多层内的温度分布。我们的皮肤模型由三层组成，即表皮层、真皮层和皮下层。假设所有皮肤层都与界面条件点连接，并通过对称通量条件在两层之间的每一层之间获取屏障，并分别分析每一层。经典的傅里叶和非傅里叶 (DPL) 模型被扩展到分析多层皮肤中的热传递行为。拉普拉斯变换技术用于导出多层皮肤模型的解析解。不同参数变化的影响，如弛豫时间、层厚度、并详细分析和讨论了不同类型的边界条件对多层皮肤温度分布行为的影响。所有效果都以图形方式显示。已经观察到，在多层皮肤的温度分布过程中，DPL模型对皮肤损伤的测量较少（τq ≥ τ吨) 与经典傅里叶模型相比。