Stability Parameter H of the Flow of Power-Law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion

Abstract:

The governing equations and mathematical model of the stability parameter H are given in bipolar coordinate system when power law fluid flows in annulus with the inner cylinder executing a planetary motion in this paper. The stability parameter H of power law fluid in both wide clearance and thin clearance in annulus with the inner cylinder executing a planetary motion is numerically calculated by finite difference method, the influences of the revolution velocity, rotation velocity, the eccentric distance and the pressure gradient on the stability parameter are analyzed. The results indicate that the eccentricity and the pressure gradient are main influence factors on it. The critical value of stability parameter for the flow of power-law fluid with the inner cylinder executing a planetary motion is 404 by means of experiment of CMC aqueous solution in annulus with the inner cylinder executing a planetary motion.

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 590-597
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.590
• Online since: January 2013
• Authors: Shu Yun Zhang
• Keywords: Annulus, Planetary Motion, Power-Law Fluid, Stability Parameter H

References

[1] H.S. Han, Z.S. Wei, H.Q. Cui, C.L. Li, Non-Newtonian Fluid Mechanics of Petroleum Engineering, Harbin: Press of Harbin Institute of Technology(1993).

[2] H.Q. Zhang,. H.Q. Cui, The stability parameter of helical flow of power-law fluid in the annular space, Journal of Daqing Petroleum Institute, vol. 13(1989), pp.93-100.

[3] H.J. Ji, X. Zhang, H.Q. Cui, D.Y. Xiu, D.S. Liu, Stability parameter of Newton helical flow in eccentric annuli with the inner and outer cylinders rotating simultaneously, Journal of Daqing Petroleum Institute, vol. 29(2005), pp.9-32.

[4] H.J. Ji, The Flow of a Power-law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion, Doctor Degree Paper of Daqing Petroleum Institute(2005).

[5] H.Q. Cui, X.H. Pei, M. Cai, Secondary Flow of Power-law fluid in annulus with the inner cylinder exexuting a planetary motion, Acta Petrolei Sinica, vol. 28(2007), pp.134-138.

[6] D.S. Liu, Stability Parameter H' of the Flow of a Power-law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion,. Doctor Degree Paper of Daqing Petroleum Institute(2006).

[7] H.Q. Cui, D.Y. Xiu, X.H. Pei, M. Cai, Normal stress distribution on the inner cylinder forced by power law fluid flowing in annulus with inner cylinder executing a planetary motion, Journal of China University of Petroleum(Edition of Natural Science), vol. 31(2007).

DOI: 10.1016/s1001-6058(08)60202-4