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

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.