最小能耗率原理的数值水槽模拟验证  

Numerical simulation of fluid motion in flume based on theory of minimum rate of energy dissipation

作　　者：常美[1] 徐国宾[1] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072

出　　处：《泥沙研究》2013年第2期67-71,共5页Journal of Sediment Research

基　　金：国家自然科学基金资助项目(50679053);国家自然科学基金创新研究群体科学基金资助项目(51021004)

摘　　要：最小能耗率原理发展至今,已有严密的理论证明,但缺少实测数据和数值模拟的验证。本文采用Flow3D中RNG k-ε紊流模型结合GMO法对顺直矩形水槽内的水流运动进行了数值模拟研究,通过选取不同断面之间的水流为研究系统,计算了各个时刻系统的单位体积水流能耗率变化。结果表明,矩形水槽内的水流运动确实遵循最小能耗率原理。The minimum rate of energy dissipation has been rigorously proved by theory, but lacking of a large number of measured data and numerical simulation to proof it is a problem. RNG k-ε turbulence model and GMO model of Flow3D are applied to simulate fluid motion in a straight rectangular flume. Selecting the fluid between different sections as a system to study, the instantaneous rate of energy dissipation per unit fluid vol- ume of the system is calculated. The results show that the fluid motion in the rectangular tank follows the theo- ry of minimum rate of energy dissipation.

关 键 词：最小能耗率原理 RNGk-ε紊流模型 数值模拟 单位体积水流能耗率 

分 类 号：TV131[水利工程—水力学及河流动力学]