Analysis of the dual phase lag bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface

Analysis of the dual phase lag bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface
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皮肤表面热通量恒定且随时间变化的双相滞后生物传热方程分析

DOI：
10.2298/tsci140128057z
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发表时间：
2016
期刊：
Thermal Science
影响因子：
1.7
通讯作者：
A. Amir Moradi
A. Amir Moradi
中科院分区：
工程技术4区
文献类型：
--
作者：
Poor Hamed Ziaei;H. Moosavi;A. Amir Moradi

文献摘要

被引文献

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这篇文章的重点是皮肤组织的温度响应， 随时间变化的地表热通量解析解构造为 具有恒定、周期和脉冲串加热的DPL生物传热方程 皮肤表面的通量条件。变量分离和Duhamel's 定理的皮肤组织作为一个有限的区域。瞬态 定常和时变边界条件下的温度响应 得到并讨论了。结果表明，存在较大的差异 在抛物线（Pennes生物传热）的预测温度之间， 双曲线（热波）和DPL生物传热模型， 皮肤表面上持续时间短或传播快的通量事故 热波速度是有限的。结果表明，DPL模型 当τT趋近于零时， 傅立叶模型时，两个热弛豫接近零。但对于τq = τT DPL模型预测了不同的温度分布， 根据Pennes模型预测。这种差异是由于血液 能量方程中的灌注项。这与来自 纯导电材料的文献，其中DPL模型接近 傅里叶热传导模型当τq = τT。烧伤也是 研究了
This article focuses on temperature response of skin tissue due to time-dependent surface heat fluxes. Analytical solution is constructed for DPL bio-heat transfer equation with constant, periodic and pulse train heat flux conditions on skin surface. Separation of variables and Duhamel’s theorem for a skin tissue as a finite domain are employed. The transient temperature responses for constant and time-dependent boundary conditions are obtained and discussed. The results show that there is major discrepancy between the predicted temperature of parabolic (Pennes bio-heat transfer), hyperbolic (thermal wave) and DPL bio-heat transfer models when high heat flux accidents on the skin surface with a short duration or propagation speed of thermal wave is finite. The results illustrate that the DPL model reduces to the hyperbolic model when τT approaches zero and the classic Fourier model when both thermal relaxations approach zero. However for τq = τT the DPL model anticipates different temperature distribution with that predicted by the Pennes model. Such discrepancy is due to the blood perfusion term in energy equation. It is in contrast to results from the literature for pure conduction material, where the DPL model approaches the Fourier heat conduction model when τq = τT . The burn injury is also investigated.