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

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.