基于等效时间的非线性热传导方程及其工程应用

Non-linear heat conduction equation based on the equivalent time theory and its application in engineering

摘要: 用化学反应速率描述浇筑温度对混凝土绝热温升的影响,研究混凝土连续墙模型在不同浇筑温度和不同边界(热交换边界和绝热边界)条件下中心点的温升过程.应用基于等效时间的非线性热传导方程,对龙滩碾压混凝土重力坝温度场进行仿真分析,并与传统理论计算结果比较.研究表明:(1)浇筑温度对混凝土最高温升和绝热温升过程有显著影响;(2)采用等效时间理论的温度计算结果比传统理论结果平均增加6.7%;(3)坝体浇筑时的外界气温影响坝体内部最高温度场,夏季浇筑混凝土须采取适当的温控措施.

Abstract: The chemical reaction rate is used to describe the combined effects of placement temperature and time on the adiabatic temperature rise.A concrete analytic test model is built and computed at different placement temperatures and under different boundary conditions by FEM,and the temperature rises of the centre point in the model are studied.Then the non-linear heat conduction equation based on the equivalent time theory is applied to simulate and analyze the temperature fields of Longtan RCC gravity dam.The...