Chhabra, Rajendra P. ; Soares, Armando A. ; Ferreira, Jose M. (1998) A numerical study of the accelerating motion of a dense rigid sphere in non-newtonian power law fluids The Canadian Journal of Chemical Engineering, 76 (6). pp. 1051-1055. ISSN 0008-4034
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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/cjce.54...
Related URL: http://dx.doi.org/10.1002/cjce.5450760611
Abstract
The equations of motion of an accelerating sphere falling through non-Newtonian fluids with power law index n in the range 0.2 ≤ n ≤ 1.8 were integrated numerically using the assumption that the drag on the sphere was a function of both power law index and terminal Reynolds number, Ret For 10-2 ≤ Ret ≤ 103 both dimensionless time and distance travelled by the sphere under transient conditions showed a much stronger dependence on the flow behaviour index, n, for shear-thinning than for shear-thickening fluids. The form of this dependence is investigated here. Furthermore, results in four typical shear-thinning fluids suggested a strong correlation between the distance and time travelled by the sphere under transient conditions and the value of the fluid consistency index. The analysis reported herein is, however, restricted to dense spheres falling in less dense fluids, when additional effects arising from the Basset forces can be neelected.
Item Type: | Article |
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Source: | Copyright of this article belongs to John Wiley and Sons. |
Keywords: | Drag; Acceleration; Sphere; Non-newtonian; Power Law |
ID Code: | 78771 |
Deposited On: | 23 Jan 2012 03:35 |
Last Modified: | 23 Jan 2012 03:35 |
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