沸腾传热的分形学分析  

Fractal analysis of boiling heat transfer

作　　者：沈正维[1] 王军[2] 沈自求[2] 

机构地区：[1]辽宁师范大学 数学学院,辽宁大连116029 [2]大连理工大学 化工学院,辽宁大连116012

出　　处：《热科学与技术》2004年第4期369-372,共4页Journal of Thermal Science and Technology

基　　金：国家自然科学基金资助项目(50176007)

摘　　要：分形论是当代兴起的非线性科学的一个重要组成部分。简要地阐述了分形论形的特征,解释了几何学中的维和物理学中的量纲的不同涵义。把分形论分数维的概念扩展应用到沸腾传热中的非线性问题的分析中,结合沸腾传热的操作特征和基本原理,以沸腾传热中的推动力△Tsat作为一个动力学维,进行了q-△TsatDf的标绘;对Df的物理意义作了分析和探讨。'Fractal Theory' is one of the important part of the contemporary 'nonlinear science'. The characteristics of the forming of the fractal theory were introduced and the difference in the meaning of 'dimension' in geometry and physics was explained. Based on the operating characteristics and the fundamental principle of boiling heat transfer, by extending the concept of fractal dimension to the nonlinear analysis of the boiling heat transfer problem, and taking △Tsat as one dynamics dimension, the processed q-△DfTsat was obtained and the physical essence of Df was analyzed and discussed.

关 键 词：沸腾传热 物理学 非线性问题 几何学 非线性科学 分形 量纲 物理意义 动力学 分数维 

分 类 号：TK124[动力工程及工程热物理—工程热物理]