小管道基准保温层厚度的提出及其计算

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Mathematical model for the heat loss of insulated circular pipe was deduced from Newton＇s cooling equation. And a formulation is developed for its critical insulation radius, which is based on the model. Based on a further study, a new concept of ＂ bench- mark insulation layer thickness （δj） ＂ , namely the thickness that of heat loss under the conditions of taking insulation and non - insula- tion is the same, is proposed in this paper. The mathematical equations of δj is developed through theoretical derivation, and its numerical solution is obtained based on a computer calculation procedure. The results of this study are vital significance for insulation of the small diameter pipes used in agricultural production or daily life.基于牛顿（Newton）冷却定律，推导出了圆形管道的热流损失数学模型，介绍了基于该模型的临界保温层半径的理论推导。并在此基础上，提出了一个全新的概念――“基准保温层厚度（δj）”，即敷设保温层与不敷设保温层（裸管）热流损失相当时，对应的保温层厚度。推导得出了δj满足的数学方程，并基于计算程序得到了其数值解。其结果对工农业生产或日常生活中的小直径体保温（隔热）有着重要的指导意义。