摘要
非牛顿液体环空螺旋流的水力计算在石油钻井中具有重要意义。理论分析指出螺旋流可由3个特征参数a、b和c完全描述,这些参数的大小由环空螺旋流的轴向平均速度Vcp、环空内圆旋转角速度ω1和液体的流变常数决定;从液体流动的运动方程式和具有4个流变常数的本构方程式出发,引入应力函数的概念后导出了求解特征参数的新方法。该法实际上给出了石油工业中常见的宾汉液体、幂律液体、卡森液体、修正幂律液体及罗伯逊液体的环空流和螺旋流水力计算的统一程序,数值计算显示了新方法的优越性。
The hydromatic computation of the helical flow for nonNewtonian fluid is an important task in petroleum drilling.Theoretical analysis shows that the helical flow of any fluid can be characterized by three parameteres which are dependent upon the axial average velocity,the angular velocity of inner cylinders and rheogical behavior of the fluid.In this paper,shear shree function is introduced,the exact solution of helical flow have been derived from the fluid motion and constitutive equation.As four constant constitutive equation cover Bingham,powerlaw,Casson,modified powerlaw and Robertsonstiff rheological models,general soliving process of helical flow for nonNewtonian fluid in petroleum industry has practically give.Numerical evalutions verify this conclusion.
出处
《石油学报》
EI
CAS
CSCD
北大核心
1998年第2期91-96,共6页
Acta Petrolei Sinica
关键词
非牛顿液体
螺旋流动
迭代法
nonNewtonian fluid annulas helical flow iteration method stress function