圆管内Herschel-Bulkely液体层流螺旋流及稳定性  

The laminar helical flow and flow stability of Herschel-Bulkely fluid in inclined pipes

作　　者：张景富[1] 代奎[1] 

机构地区：[1]大庆石油学院石油工程系,黑龙江大庆163318

出　　处：《水动力学研究与进展（A辑）》2003年第5期607-612,共6页Chinese Journal of Hydrodynamics

摘　　要：　研究了倾斜放置的圆管内Herschel Bulkely液体螺旋流流动规律和流动状态判别准则,提出了新的理论和研究方法。建立了流场视粘度函数、速度函数的解析解;给出了流量、压降计算公式。得出了视粘度、流量、压降与圆管转速无关的结论。利用Hanks局部稳定性理论,建立了新的判别流动稳定性的参数H的表达式及流动状态发生转变的临界稳定性参数值Hmax=404。分析了流场稳定性参数的分布规律,给出了保证螺旋流场稳定性的最大圆管转速Ωmax计算方法,并提出了用Ωmax和Hmax联合判别流动稳定性的方法。The law of helical flow and criterion of distinguishing flow state for HerschelBulkely fluid in inclined pipes are studied. Analytical solutions of apparent viscosity, velocities, flow rate and pressure drop are obtained. Theoretical results indicate that apparent viscosity, flow rate and pressure drop are respectively independent of the rotation rate of the pipe. Using the local stability theory given by Hanks, the expressions for stability parameter H characterizing the transition from laminar flow to turbulent flow and its maximum critical value Hmax=404 are presented. The distribution characteristics of stability parameter of the flow field are analyzed. The formula of maximum pipe rotation rate Ωmax is given, under which the flow field maintains laminar. The method for analyzing the stability of flow field by using Ωmax  and Hmax is presented.

关 键 词：Herschel—Bulkely液体 层流 螺旋流 稳定性 圆管 视粘度 流量 压降 流动状态 流场 石油开采 钻井液 

分 类 号：TE254.1[石油与天然气工程—油气井工程]