基于楔形体的舌一维传热模型及其解析解  

Analytical Solution of One-Dimensional Heat Transfer Model of Tongue Based on Fin Cube

作　　者：诸凯[1,2] 王朝露[1] 陈瑞球[2] 刘斌[2] 

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津商学院制冷系

出　　处：《天津大学学报》2005年第10期882-886,共5页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金资助项目(59976026)天津市自然科学基金资助项目(003607711)

摘　　要：定量讨论生物体的传热规律,在建立所研究对象的生物传热模型基础上获得其解析解.以猪舌和人舌为研究对象,通过有创和无创实验方法获取舌体温度与血液灌注率间变化规律的实验曲线,研究舌体的传热过程.在理论计算中将舌体简化为楔形体,针对舌体的传热特性建立猪舌的准一维传热模型,方程的形式为二阶变系数非齐次方程,并求得其解析解.将人舌的有关数据代入模型进行验算,所得计算温度值与由热像仪测得的实验值变化趋势一致.此种建模及计算方法可从理论上定量分析血液灌注率与舌体温度分布变化之间的规律,同时说明人舌与猪舌温度分布随血液灌注率变化的规律相同.该模型亦适用于其他有内热源的近似于楔形肋生物体的传热计算.The heat transfer regulation of organism was discussed quantitatively by establishing a heat transfer model of the investigated objects along with the analytical solution. The heat transfer process of porcine tongue and human tongue were studied. By invasive and non-invasive experiment methods, the regulation change of tongue temperature in relation to blood perfusion rate was obtained. In theoretical calculation, tongue was simplified as fin cube. In light of the heat transfer characteristic of tongue, a quasi-one-dimensional heat transfer model of porcine tongue was set up, in the form of second order inhomogeneous differential equation with variable coefficients, and appended by its analytical solution. Checking this model with corresponding data of human tongue showed that the calculation temperature was in accord with experimental values obtained through infrared thermovision. This modeling and calculating approach can quantitatively and theoretically analyze the changing regulation of temperature distribution of tongue in response to blood perfusion rate, indicative of the changing regulation identity between human tongue and porcine tongue. Although this model targets tongue, the modeling approach is applicable to other fin-like organisms with inner heat source.

关 键 词：生物传热 舌 血液灌注率 代谢率 解析解 

分 类 号：TK123[动力工程及工程热物理—工程热物理] Q65[动力工程及工程热物理—热能工程]