非牛顿流体偏心环空螺旋流的解析解

Analytical Solutions of the Helical Flow of Non-Newtonian Fluid in Eccentric Annular Space

石油和化工中许多问题需要求解非牛顿流体偏心环空螺旋流。本文全面地研究了幂律流体和宾汉流体在偏心环空中层流螺旋流的流动规律与流动状态的判别。在理论上，根据流体力学原理，运用数学方法，在作者同心环空螺旋流的理论基础上，通过对偏心环空螺旋流流场的无限细分法，给出了该流场的视粘度分布、速度分布、流量和压降方程，进而建立了判别流态的稳定性参数。

Many problems in petroleum and chemical industry can be reduced to the solutions of the helical flow of Non-Newtonian fluid in eccentric annular space. This paper studies the flow law of the laminar helical flow of the power law fluid and Billgham fluid in eccentric annular space and the determination of the flow state. In theory,by the principle of the fluid mechanics.with methematical methods.based on our theory of the helical flow in concentric annular space and through the infinite subdivision method for the flow field of eccentric annular space helical flow,the apparent viscosity distribution, the velocity distribution, the flow rate and the pressure drop equation of this field can be given,and then the stability parameter,characterizing the transition from larminar to turbulent flow,is established.