Normal stress distribution on the inner cylinder forced by power law fluid flowing in annulus with inner cylinder executing a planetary motion

Key words:  power law fluid  eccentric annulus  inner cylinder  planetary motion  normal stress distribution

Abstract:

The governing equations and calculation formulas of normal stress distribution on the inner cylinder were given in bipolar coordinate system when power law fluid flows in annulus with the inner cylinder executing a planetary motion. The governing equations were worked out by finite difference method，and then the normal stress distribution on the inner cylinder was calculated. The curves of normal stress distribution on the inner cylinder were plotted, and the affecting factors were analyzed. The results indicate that the rotation and revolution velocities of the inner cylinder, the eccentricity of the annulus are the main factors to influence the normal stress distribution on the inner cylinder, while the pressure gradient has less effect.