## 留言板

 引用本文: 张海桥, 吴继周. 非牛顿流体偏心环空螺旋流的解析解[J]. 应用数学和力学, 1994, 15(7): 627-638.
Zhang Hai-qiao, Wu Ji-zhou. Analytical Solutions of the Helical Flow of Non-Newtonian Fluid in Eccentric Annular Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 627-638.
 Citation: Zhang Hai-qiao, Wu Ji-zhou. Analytical Solutions of the Helical Flow of Non-Newtonian Fluid in Eccentric Annular Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 627-638.

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

• 摘要: 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。
•  [1] Rivlin, R. S., Further remarks on the stress-deformation relations for isotropic materials, J. Rat. Mech. Anal., 4 (1955), 681. [2] Coleman, B. D. and W. Noll, Helical flow of general fluids, J. Appl. Phys., 30(1959), 1508. [3] Fredrickson, A. G., Helical Flow of viscoelastic fluids, Chem. Eng. Sci., 11(1960), 252. [4] Walker, R. E., Hydraulics limits are set by flow restrictions,Oil Gas J., 74, 40(1976), 87. [5] Zhang Hai-qiao and Cui, H. Q., The helical flow of the power law fluid in an annular space, Proceedings of the international conference on nonlinear mechanics (Shanghai). 834-839,(1985). [6] Zhang Hai-qiao and Cui, H. Q., Analytical solutions of the helical flow of the power law fluid in pipes, Proceedings of the international svmvosium on muliphase flows (Hangzhou), 491-495,(1987). [7] 张海桥、崔海清,一类带屈服应力的粘性流体在钻柱中流动的数学模型,大庆石油学院学报.1(1990), 86-94. [8] 陈文芳,非牛顿流体的一些本构方程,力学学报,1(1983), 18-26 [9] Hanks, R. W., The laminar-turbulent. transition for flow in pipes, concentric annular, and paralled plates. A.1. Ch. E. J., 26, 1(1980), 152. [10] 张海桥,钻井液偏心环空螺旋流的无限细分法,大庆石油学院学报,2(1991)104-114.

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##### 出版历程
• 收稿日期:  1991-10-04
• 修回日期:  1994-03-04
• 刊出日期:  1994-07-15

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