摘要
应用相似理论将冻结温度场方程和参数无量纲化,然后建立无量纲的数值计算模型,研究了在外表面恒温情况下冻结管壁的无量纲热流密度与各无量纲影响参数间的关系.结果表明:无量纲热流密度随未冻土与冻土的导热系数之比线性增加,与冻土与未冻土的容积比热之比成线性关系,随无量纲结冰潜热线性增长,与无量纲盐水温度成线性关系;可表示为无量纲时间的负三分之一次方的线性函数.最后对167 706次数值计算结果进行了回归分析,得到具有较高精度的回归计算公式.
In order to reduce the number of variables, the equations and its parameters for freezing temperature field were converted to dimensionless ones according to the theory of similitude at first. Secondly, a dimensionless model for finite-element method was established, and 167 706 numerical computations were carried out to study the dimensionless heat flux density on the outer surface of a freezing pipe with constant temperature, and then the relationships between the dimensionless heat flux density and its influential factors were obtained. It is found that the dimensionless heat flux density linearly increases with the ratio of the heat-transfer conductivity of soil to that of frozen soil, has a linear relationship with the ratio of the volumetric specific heat of frozen soil to that of soil, rises with the dimensionless latent heat of the freezing soil, and linearly decreases with the dimensionless temperature of calcium chloride brine, linearly decreases with f^（-1/3） （f is the dimensionless time）. A regression formula among the dimensionless heat flux density and its influential factors were developed at last, which is with high accuracy and easy to use by an engineer.
出处
《冰川冻土》
CSCD
北大核心
2006年第3期401-405,共5页
Journal of Glaciology and Geocryology
关键词
冻结管
热流密度
相似理论
数值计算
freezing pipe
heat flux density
theory of similitude
numerical analysis
