Finite Propagation of Heat Transfer in a Multilayer Tissue
Finite Propagation of Heat Transfer in a Multilayer Tissue
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DOI：
10.2514/1.37267
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发表时间：
2008-10
影响因子：
2.1
通讯作者：
Kuo-Chi Liu;P. Cheng
中科院分区：
文献类型：
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作者：
Kuo-Chi Liu;P. Cheng
采用解析方法来分析瞬时表面热通量问题。数值结果与解析解吻合较好，证明了结果的合理性和可靠性。我们讨论了生物传热的热波模型与Pennes模型之间的偏差。预测结果表明热通量的时间导数、弛豫时间和复合结构对热传播行为有显着影响。 � 1@q0;t=@t ≠ 0 对生物传热热波模型方程结果的影响也很明显。有限传播效应应在受热面边界条件中描述。命名法 B、C、D、E = 系数 c = 组织比热，J=kg � � C cb = 血液比热，J=kg � � C k = 导热系数，W=m � � C L = 组织长度，m’ = 两个相邻节点之间的距离，mm = 边界面处的节点数 qm = 代谢热产生，J=m 3 qr = 空间加热热源，J=m 3 qw = 正弦表面振幅加热，J=m 3 s = 拉普拉斯变换参数
analytical method to analyze the problem with the instantaneous surface heat flux. The numerical results are in a good agreement with the analytical solution that evidences the rationality and reliability of the present results. We discussed the deviations between the thermal wave model of bioheat transfer and the Pennes model. The predicted resultsdepictthatthetimederivativeofheat flux,therelaxationtime,andthecompositestructuresignificantlyaffect the thermal propagation behavior. The effects of � 1@q0;t=@t ≠ 0 on the results from the equation for the thermal wave model of bioheat transfer are also distinct. The finite propagation effect should be described in the heating surface boundary condition. Nomenclature B, C, D, E = coefficients c = specific heat of tissue, J=kg � � C cb = specific heat of blood, J=kg � � C k = thermal conductivity, W=m � � C L = length of tissue, m ‘ = distance between two neighboring nodes, m m = node number at the boundary surface qm = metabolic heat generation, J=m 3 qr = heat source for spatial heating, J=m 3 qw = amplitude of sinusoidal surface heating, J=m 3 s = Laplace transform parameter