Drag force on a rigid spheroidal particle in a cylinder filled with Carreau fluid

Drag on two coaxial rigid spheres moving along the axis of a cylinder filled with Carreau fluid

“…For example, the boundary effect is less important if Re is large, (S / d) is large, n is small, and Cu is large. This result is similar to that observed by Hsu and Hsieh for the case of an isolated rigid particle in a cylinder filled with Carreau fluid [27]. If Re is small, the drag on the leading sphere is about the same as that on the rear sphere, and therefore, the degree of the boundary effect, measured by (C D (r p / R = 0.6) / C D (r p / R = 0)), of the leading sphere is about the same as that of the rear sphere.…”

“…Zhu et al [26] investigated the drag on two interacting rigid spheres in a power-law pipe flow with a large (pipe diameter/sphere diameter) ratio. Hsu et al [27] modeled theoretically the sedimentation of a spheroid in a cylindrical tube filled with a Carreau fluid for a low to medium value of Reynolds number. Daugan et al [28,29] conducted an experimental study on the settling of two or three identical particles along their line of centres in a shear-thinning fluid at low Reynolds numbers.…”

Sedimentation of a cylindrical particle along the axis of a cylindrical tube filled with Carreau fluid

“…In the latter, Eqs. (12) and ( 13) are used to obtain Z and φ N , the results substituted into Eq. ( 11) to evaluate C D , and F D ′ is calculated by…”

“…The value of F D ∞ is obtained by extrapolating the terminal velocity of a particle based on the present result to the case when D → ∞ and then using Eqs. (11), (12), (13). The results obtained are summarized in Tables 1-3.…”

“…Unnikrishnan [10] and Chhabra [11] examined the boundary effect on the sedimentation of both a sphere and a cylinder in both Newtonian and non-Newtonian fluids. Hsu et al [12] modeled theoretically the sedimentation of a spheroid in a cylindrical tube filled with a Carreau fluid.…”