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含血管的彭尼斯生物热传递方程的解析解。

Analytical solutions of Pennes bio-heat transfer equation with a blood vessel.

作者信息

Huang H W, Chan C L, Roemer R B

机构信息

Aerospace and Mechanical Engineering Department, University of Arizona, Tucson 85721.

出版信息

J Biomech Eng. 1994 May;116(2):208-12. doi: 10.1115/1.2895721.

DOI:10.1115/1.2895721
PMID:8078328
Abstract

The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are obtained and presented.

摘要

考虑在存在血管的情况下灌注组织内的热传递。生物热传递方程用于灌注组织,而集总电容分析用于血管内具有恒定努塞尔数的对流。针对两种情况获得了解析解:(i)生物热传递方程中灌注血液的动脉温度等于血管内血液沿轴向变化的混合平均温度,以及(ii)假设该动脉温度恒定。获得并给出了无量纲平衡长度和温度表达式。

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