地下水运动方程理论分析及其在CFD中的应用  

Theoretical Analysis of Groundwater Movement Equation and Its Application in CFD

作　　者：宋伟[1] 代云[1] 郁文红[1] 

机构地区：[1]北方工业大学土木工程学院,北京100144

出　　处：《北方工业大学学报》2016年第1期73-79,共7页Journal of North China University of Technology

基　　金：暖燃北京市重点实验室研究基金;北方工业大学科研启动基金项目;北京市本科生科学研究与创业行动计划项目(15006-174)

摘　　要：在单井循环地下换热器仿真研究中,对于多孔介质模型参数设置常根据经验确定,相关理论研究较为缺乏,导致仿真研究结果与实验结果偏差较大.因此,本文对地下水运动方程进行理论分析,利用纳维—斯托克斯方程与米斯马赫方程推导得出不可压缩流体在不可变形多孔介质中的运动方程;利用伯努利方程和米斯马赫方程,将能量方程方程中的水头损失与流体在多孔介质中流动的阻力损失联系起来,使伯努利方程在多孔介质中的得到应用;根据实验结果与仿真数据确定了Fluent中多孔介质模型的2个经验系数,C0和C1分别为2.5×106和1.2;最后,应用该经验系数,仿真得到3种单井循环地下换热器影响下的地下水速度流线.In the simulation research on single well groundwater heat exchanger,the parameters of porous media model is often determined according to experience for lack of the relevant theories,which leads to large deviation between the simulation and experimental results.This paper,therefore,made a theoretical analysis of the motion equations of groundwater.First,the incompressible fluid motion equations in non-deformable porous media has been deduced with Navier-Stokes equation and Missbach equation.Second,with Bernoulli equation and Missbach equation,the linkage has been established between the resistance loss of energy equation and the head loss of fluid flow in porous media,therefore,Bernoulli equation is applied in porous media.Third,according to the experimental results and simulation data,the two empirical coefficients in porous media model of Fluent have been determined（C0and C1 are 2.5×10^6 and 1.2individually）.Finally,with the two empirical coefficients applied,the velocity streamline of groundwater under the influence of three kinds of single well groundwater heat exchanger have been obtained.

关 键 词：地下水运动方程 单井循环系统 多孔介质 米斯马赫方程 CFD 

分 类 号：TK529[动力工程及工程热物理—热能工程]