Al-Lehaibi Eman A N, Youssef Hamdy M
Mathematics Department, Jamoum University College, Umm Al-Qura University, Jamoum, Saudi Arabia.
Mechanical Engineering Department, College of Engineering and Architecture, Umm Al-Qura University, Makkah, 21955, Saudi Arabia.
Heliyon. 2024 Nov 8;10(22):e40257. doi: 10.1016/j.heliyon.2024.e40257. eCollection 2024 Nov 30.
In this paper, a new and more general model of heat conduction that depends on the drift velocity due to thermomass motion assumption will be established and will be applied to the skin tissue. Four different heat conduction models will be incorporated into a unified equation of heat conduction: the Pennes, Vernotte-Cattaneo, dual-phase-lag of Tzou, and the general two-temperature three-phase-lag of Youssef. The governing partial differential equations of the general two-temperature three-phase-lag model of bioheat conduction will be implemented and solved directly in the domain of the Laplace transformation. The numerical solutions of the Laplace transform will be calculated by executing the Tzou iteration formula. The ramp-type heat on the surface of the skin tissue will be considered as thermal loading. The conductive and dynamic temperature increment reactions have been studied and discussed with different values of ramp-time heat, characteristic length, and drift velocity parameters. The novelty of this work is to introduce some comparisons of the four under-studied bioheat conduction models and show the differences between them in the figures. The numerical results show that the ramp-time heat, drift velocity, and characteristic length parameters have major impacts on the increment of both dynamical and conductive temperature distributions.
在本文中，将建立一种新的、更通用的热传导模型，该模型基于热质量运动假设所产生的漂移速度，并将其应用于皮肤组织。四种不同的热传导模型将被纳入一个统一的热传导方程：彭尼斯模型、韦尔诺特 - 卡塔尼奥模型、邹的双相位滞后模型以及优素福的广义双温度三相滞后模型。生物热传导的广义双温度三相滞后模型的控制偏微分方程将在拉普拉斯变换域中直接实现并求解。拉普拉斯变换的数值解将通过执行邹迭代公式来计算。皮肤组织表面的斜坡型热将被视为热载荷。针对不同的斜坡时间热、特征长度和漂移速度参数值，对传导和动态温度增量反应进行了研究和讨论。这项工作的新颖之处在于对四种正在研究的生物热传导模型进行了一些比较，并在图中展示了它们之间的差异。数值结果表明，斜坡时间热、漂移速度和特征长度参数对动态和传导温度分布的增量有重大影响。
