计算物理 ›› 2009, Vol. 26 ›› Issue (6): 903-910.

• 论文 • 上一篇    下一篇

血液对流换热的数值计算

解海卫, 张艳, 诸凯   

  1. 天津商业大学机械工程学院天津市制冷技术重点实验室, 天津 300134
  • 收稿日期:2008-06-17 修回日期:2008-12-08 出版日期:2009-11-25 发布日期:2009-11-25
  • 作者简介:解海卫(1976-),男,河北唐山,讲师,博士,从事工程热物理方面的研究,天津商业大学机械学院300134.
  • 基金资助:
    国家自然科学基金(54076067)资助项目

Convective Heat Transfer in Blood Vessels

XIE Haiwei, ZHANG Yan, ZHU Kai   

  1. School of Mechanical Engineering, Tianjin Key Laboratory of Refrigeration Technology, Tianjin University of Commerce, Tianjin 300134, China
  • Received:2008-06-17 Revised:2008-12-08 Online:2009-11-25 Published:2009-11-25

摘要: 在血管壁施加第三类边界条件是计算血液与组织间对流换热的一种近似计算方法.为分析其可行性,用有限元数值模拟方法计算血管分支结构中血液与组织的对流换热,得到不同流速和半径下分支血管内血液的截面平均Nu数沿管长的变化曲线.结果表明,血管树中分支血管的Nu数变化幅度不大,且趋于稳定值的速度很快.以相同边界条件下包含简单血管系统的舌体为例,分别用近似方法和完全耦合计算方法,进行血液流场和舌体温度场模拟.通过比较计算结果,得出两种方法得到的温度场分布趋势基本相同;用完全耦合计算方法得到的舌体温度略高于用近似方法得到的舌体温度,两者差值小于0.2℃.

关键词: 血管, 对流换热, 有限元, 分支结构, 努赛尔数

Abstract: Convective-type boundary conditions at interface of vessel walls are used in simulating convective heat transfer in blood vessels. To study feasibility of the method, convective heat transfer between blood and tissue in a simple furcated vessel system is computed with finite element analysis. Mean Nusselt number on cross-section along the vessel is obtained at various flow velocities or vessel radii. It shows that the mean Nueselt number in the branching vessel varies within a narrow range, and shows fast convergence rate. A tongue with a simple vascular tree is simulated as an example. Conjugated numerical method, and a approximate method are used to calculate 3-D velocity and temperature of the tongue. Distributions of temperature calculated are similar and quantitative difference between temperatures obtained by two methods is less than 0.2℃.

Key words: vessel, convective heat transfer, finite element model, furcation, Nusselt number

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