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  • 學位論文

圓柱粒子在卡羅流體中的拖曳係數

Drag coefficient of a cylinderical particle in a Carreau fluid

指導教授 : 徐治平

摘要


吾人以理論之方式探討系統參數對於在無限卡羅流體中自由沉降的圓柱粒子其所受到拖曳力的影響。卡羅流體為一具有四個參數η0、η∞、λ、n的非牛頓流體,η0是最小應變張量黏度,η∞是最大應變張量黏度,λ是鬆弛時間,n是指數部分。其最大的特徵是shear-thinning特性,也就是其黏度會隨著shear的增強而變小。我們所考慮的系統參數包括卡羅流體中的鬆弛時間

並列摘要


The hydrodynamic force acting on a rigid cylindrical particle moving with a constant velocity in an infinite shear-thinning fluid, which is simulated by a Carreau model, which is characterized by four parameter, the viscosity corresponding to the minimum shear rate, η0, the viscosity corresponding to the maximum shear rate, η∞ the relaxation time constantλ, and a measure for the rate of decrease in apparent viscosity as shear rate increases, n, is evaluated. The influences of the key parameters of the system under consideration on the behavior of a particle, including the relaxation time constant

參考文獻


[1] D. Rodrigue; R. P. Chhabra; D. De Kee, “Drag on non-spherical particles in
non-Newtonian fluids”, Can. J. Chem. Eng. 1994, 72, 588-593.
[2] R. P. Chhabra; K. Rami; P. H. T. Uhlherr, “Drag on cylinders in shear thinning viscoelastic liquids”, Chem. Eng. Sci. 2001, 56, 2221-2227.
[3] R. B. Bird; W. E. Stewart; E. N. Lightfoot, “ Transport phenomena”, 2nd edition, John Wiley & Sons Press, New York, 2002.
[4] H. Brenner, “The Stokes hydrodynamic resistance of non-spherical particles”, Chem. Eng. Comm. 1996, 148, 487-562.

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