粘弹性流体在偏心环空中非定常流动的流量数值计算  

Numerical Calculation of Flow Rate of Unsteady Flow for a Viscoelastic Fluid in Eccentric Annulus

作　　者：李楠[1] 

机构地区：[1]大庆油田有限责任公司采油工程研究院,黑龙江大庆163453

出　　处：《内蒙古石油化工》2013年第15期20-23,共4页Inner Mongolia Petrochemical Industry

摘　　要：利用有限体积法(FVM)对双极坐标系下变系数二阶流体在内管做轴向往复运动的偏心环空中非定常流的控制方程进行了离散,其中时间积分方案采用全隐式,再利用交替方向隐式方法(ADIP)对离散方程组进行了数值求解;通过对视为变系数二阶流体的不同质量分数的聚丙烯酰胺(HPAM)水溶液在内管做轴向往复运动的偏心环空中的非定常流动实验,在相同条件下,在利用该方法数值求解上述控制方程后得到速度场的基础上,结合流量公式,将数值计算得到的流量与实测流量进行了比较,并将比较的吻合程度与其它方法得到的吻合程度进行了对比。结果表明:本文所给数值计算方法是正确的;利用本文方法数值计算得到的流量与实测流量的吻合程度比另外两种方法更好,且数值计算步骤较为简便、计算速度较快。Finite Volume Method（FVM）is used to discrete the governing equations of unsteady flow of the second-order fluid with variable coefficients in eccentric annulus with the inner cylinder reciprocating axially,in which fully implicit scheme is taken on time integral,and Alternating Direction Implicit（ADI）method used to solve the discreted equation group.Through experiments on the flow of Hydrolyzed Polyacrylamide（HPAM）aqueous solutions with different mass fraction concentrations,which are regarded as the second-order fluids,on the basis of using the presented method to solve the governing equations to obtain the velocity field,connected with the formula of flow rate,the numerically calculated flow rates are compared with the experimentally measured ones,and the coincidences of the comparisons are compared with those calculated by using the other two methods.The result shows that the presented method is testified to be correct,and the coincidences between the calculated flow rates and the measured ones obtained by using the presented method are better than those by using the other two methods,and moreover,the numerical calculating procedure of the presented method is much more simple and convenient and the calculating speed faster as well.

关 键 词：二阶流体 偏心环空 非定常流 FVM ADI 

分 类 号：TE31[石油与天然气工程—油气田开发工程]