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Bubble motion in non-Newtonian fluids is widely present in various industrial processes such as crude oil extraction, enhancement of boiling heat transfer, CO 2sequestration and wastewater treatment. System containing non-Newtonian liquid, as opposed to Newtonian liquid, has shear-dependent viscosity, which can change the hydrodynamic characteristics of the bubbles, such as their size, deformation, instability, terminal velocity, and shear rate, and ultimately affect the bubble rising behaviors. In this work, the dynamic behavior of bubble rising in a shear-thickened fluid is studied by using an incompressible lattice Boltzmann non-Newtonian gas-liquid two-phase flow model. The effects of the rheological exponent n, the Eötvös number ( Eo), and the Galilei number ( Ga) on the bubble deformation, terminal velocity, and the shear rate are investigated. The numerical results show that the degree of bubble deformation increases as Eogrows, and the effect of non bubble deformation degree relates to Ga. On the other hand, the terminal velocity of the bubbles increases monotonically and nonlinearly with Gafor given Eoand n, and the effect of non the terminal velocity of the bubbles turns stronger as Gaincreases. When Gais fixed and small, the terminal velocity of the bubble increases and then decreases with the increase of nat small Eo, and increases with the increase of nwhen Eois large; but when Gais fixed and large, the terminal velocity of the bubbles increases with the increase of nin a more uniform manner. In addition, regions with high shear rates can be found near the left end and right end of the bubble. The size of these regions grows with Eoand Ga, exhibiting an initial increase followed by a decrease as nincreases. Finally, the orthogonal experimental method is used to obtain the influences of the aforementioned three factors on the shear rate and terminal velocity. The order of influence on shear rate is n, Gaand Eowhich are arranged in descending order. For the terminal velocity, Gahas the greatest influence, followed by n, and Eohas the least influence.
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Ga= 22 Ga= 32 n= 1.0 n= 1.2 n= 1.4 n= 1.6 n= 1.8 n= 1.0 n= 1.2 n= 1.4 n= 1.6 n= 1.8 Eo= 5 
Eo= 10 
Eo= 20 
Eo= 30 
Ga= 39 Ga= 45 n= 1.0 n= 1.2 n= 1.4 n= 1.6 n= 1.8 n= 1.0 n= 1.2 n= 1.4 n= 1.6 n= 1.8 Eo= 5 
Eo= 10 
Eo= 20 
Eo= 30 
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试验次数 因 素 剪切速率
(×10–6)n Ga Eo 1 1.0 22 5 718 2 1.0 32 20 1152 3 1.0 39 30 1443 4 1.0 45 10 1743 5 1.0 45 30 1673 6 1.2 22 30 798 7 1.2 32 10 1325 8 1.2 39 30 1659 9 1.2 45 5 2078 10 1.2 45 20 2035 11 1.4 22 30 837 12 1.4 32 5 1625 13 1.4 39 20 1904 14 1.4 45 30 2033 15 1.4 45 10 1872 16 1.6 22 20 1464 17 1.6 32 30 1747 18 1.6 39 10 2532 19 1.6 45 30 2732 20 1.6 45 5 3707 21 1.8 22 10 3329 22 1.8 32 30 2903 23 1.8 39 5 6200 24 1.8 45 20 4016 25 1.8 45 30 3519 DownLoad:
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试验均值/极差 因 素 n Ga Eo k1 1390.0 540.0 1707.0 k2 1608.8 1193.6 1623.6 k3 1783.8 1792.8 1735.2 k4 1851.4 2507.6 1737.9 k5 1907.6 — — R 517.6 1967.6 114.3 DownLoad:
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试验次数 因 素 终端速度
(×10–6)n Ga Eo 1 1.0 22 5 479 2 1.0 32 20 976 3 1.0 39 30 1487 4 1.0 45 10 2001 5 1.0 45 30 2007 6 1.2 22 30 575 7 1.2 32 10 1163 8 1.2 39 30 1734 9 1.2 45 5 2250 10 1.2 45 20 2322 11 1.4 22 30 614 12 1.4 32 5 1181 13 1.4 39 20 1889 14 1.4 45 30 2654 15 1.4 45 10 2581 16 1.6 22 20 565 17 1.6 32 30 1322 18 1.6 39 10 1906 19 1.6 45 30 2787 20 1.6 45 5 2677 21 1.8 22 10 467 22 1.8 32 30 1326 23 1.8 39 5 1948 24 1.8 45 20 2924 25 1.8 45 30 2873 DownLoad:
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试验均值/极差 因 素 n Ga Eo k1 1345.8 1429.2 2865.6 k2 1579.0 1750.4 2160.2 k3 1654.2 2747.6 2114.2 k4 2436.4 2540.8 1934.4 k5 3993.4 — — R 2647.6 1318.4 931.2 DownLoad:
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