关键词: 非牛顿液体, 环形空间, 螺旋流动, 迭代法, 应力, 函数

Abstract: The hydromatic computation of the helical flow for non-Newtonian 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,power-law,Casson,modified power-law and Robertson-stiff rheological models,general soliving process of helical flow for non-Newtonian fluid in petroleum industry has practically give.Numerical evalutions verify this conclusion.

Key words: non-Newtonian, fluid, annular, helical flow, iteration method, stress, function