This paper concerns the study of heat distribution in skin tissue with constant and sinusoidal heat flux at the skin surface. Three types of heat transfer models, i.e., Pennes bioheat model, single-phase lag model, and dual-phase lag model based on Fourier and non-Fourier heat conduction, are taken into consideration. Also, Fourier, as well as non-Fourier boundary conditions, are considered at both the end of skin tissue for the single and dual-phase lag model of heat conduction. The resulting models are solved using finite difference and radial basis function (RBF) approximations for the temporal and spatial variables, respectively. The effects of these three models and other parameters involved in models on heat transfer in skin tissue are studied. The effects of Fourier and non-Fourier boundary conditions on heat transfer for single and dual-phase lag models are also studied.

本文涉及在皮肤表面具有恒定和正弦热通量的皮肤组织中热分布的研究。考虑了三种类型的传热模型，即基于傅立叶和非傅立叶热传导的彭尼斯生物热模型，单相滞后模型和双相滞后模型。同样，对于单相和双相热传导滞后模型，在皮肤组织的两端都考虑了傅立叶以及非傅立叶边界条件。分别使用时间和空间变量的有限差分和径向基函数（RBF）近似来求解所得模型。研究了这三个模型以及模型中涉及的其他参数对皮肤组织传热的影响。