在热传导的一般两温度三相滞后模型下,皮肤组织中的热传递具有比较性研究
Eman A N Al-Lehaibi1, Hamdy M Youssef2
1Mathematics Department, Jamoum University College, Umm Al-Qura University, Jamoum, Saudi Arabia.
Heliyon
|November 25, 2024
概括
为皮肤组织开发了一种新的通用传热模型,包括漂移速度. 该模型统一了四种现有的传热模型,揭示了道时间热量,漂移速度和特征长度对温度变化的重大影响.
科学领域:
- 生物医学工程 生物医学工程
- 热科学 热科学 热科学
- 数学建模的数学建模
背景情况:
- 现有的生物热传递模型 (Pennes,Cattaneo,Tzou) 在描述复杂的热现象方面存在局限性.
- 热质运动和漂移速度是影响生物组织热传导的关键因素.
- 需要一个统一的模型来准确预测各种热负荷下的温度分布.
研究的目的:
- 为皮肤组织建立一个通用的传热模型,并将热质运动引起的漂移速度纳入其中.
- 统一和比较四种不同的传热模型:Pennes,Vernotte-Cattaneo,Tzou的双相延迟模型和Youssef的一般两温度三相延迟模型.
- 分析坡道时间热量,特征长度和漂移速度对热反应的影响.
主要方法:
- 开发一个一般的两温度三相滞后生物热传导模型.
- 在拉普拉斯变换域中实现和直接解决控制局部微分方程.
- 使用Tzou代公式计算拉普拉斯变换的数值计算.
- 在皮肤组织表面应用坡道式热负荷.
主要成果:
- 一般化模型成功地整合了四种不同的传热模型,突出了它们的差异.
- 数字模拟表明,坡道时间热量,漂移速度和特征长度显著影响导电和动态温度增加.
- 该研究在特定的热条件下对四种模型进行了比较分析.
结论:
- 拟议的通用导热模型为分析皮肤组织的热行为提供了更全面的方法.
- 漂移速度,特征长度和坡道时间热量是影响生物组织温度动态的关键参数.
- 这些发现有助于更好地了解皮肤的传热机制,这对热疗法和伤害评估有意义.
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