Abstract
The behavior of single bubble rising in quiescent shear-thinning fluids was investigated numerically by level set method. A number of bubbles in a large range of Reynolds number and Eotvos number were investigated including spherical, oblate and spherical. The bubble shape and drag coefficient were compared with experimental results. It is observed that the simulated results show good conformity to experimental results over a wide range of Reynolds number. In addition, the detailed flow field based on the reference coordinate system moving with the bubble is obtained, and the relationship among flow field, bubble shape and velocity is discussed.
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de KEE D. Nonlinear effects (discontinuties) in rheology [J]. Journal of Central South University of Technology 2007, 14(1): 242–245.
CHHABRA R P. Bubbles, drops and particles in non-newtonian fluids [M]. 2nd ed. Boca Raton, FL: CRC Press, 2007.
NESSET J E, FINCH J A. A novel approach to prevent bubble coalescence during measurement of bubble size in flotation [J]. Journal of Central South University 2014, 21(1): 338–343.
ZHANG Li, YANG Chao, MAO Zai-sha. An empirical correlation of drag coefficient for a single bubble rising in non-Newtonian liquids [J]. Industrial & Engineering Chemistry Research 2008, 47(23): 9767–9772.
RODRIGUE D, de KEE D, FONG C F C M. A note on the drag coefficient of a single gas bubble in a power-law fluid [J]. The Canadian Journal of Chemical Engineering 1999, 77(4): 766–768.
RODRIGUE D. A simple correlation for gas bubbles rising in power-law fluids [J]. The Canadian Journal of Chemical Engineering 2002, 80(2): 289–292.
DEWSBURY K, KARAMANEV D G, MARGARITIS A. Hydrodynamic characteristics of free rise of light solid particles and gas bubbles in non-Newtonian liquids [J]. Chemical Engineering Science 1999, 54(21): 4825–4830.
MIYAHARA T, YAMANAKA S. Mechanics of motion and deformation of a single bubble rising through quiescent highly viscous Newtonian and non-Newtonian media [J]. Journal of Chemical Engineering of Japan 1993, 26(3): 297–302.
CLIFT R, GRACE J R, WEBER M E. Bubbles, drops, and particles [M]. New York: Academic Press, 1978.
KARAMANEV D, DEWSBURY K, MARGARITIS A. Comments on the free rise of gas bubbles in non-Newtonian liquids [J]. Chemical Engineering Science 2005, 60(16): 4655–4657.
FAN Wen-yuan, MA You-guang, JIANG Shao-kun, YANG Ke, LI Huai-zhi. An experimental investigation for bubble rising in non-Newtonian fluids and empirical correlation of drag coefficient [J]. Journal of Fluids Engineering 2010, 132(2): 021305.
de KEE D, CHHABRA R P. A photographic study of shapes of bubbles and coalescence in non-Newtonian polymer solutions [J]. Rheologica Acta 1988, 27(6): 656–660.
LI Shao-bai, MA You-guang, JIANG Shao-kun, ZHU Chun-ying, LI Huai-zhi. The drag coefficient and the shape for a single bubble rising in non-Newtonian fluids [J]. Journal of Fluids Engineering 2012, 134(8): 084501.
SOUSA R G, RIETHMULLER M L, PINTO A M F R, CAMPOSA J B L M. Flow around individual Taylor bubbles rising in stagnant polyacrylamide (PAA) solutions [J]. Journal of non-Newtonian Fluid Mechanics 2006, 135(1): 16–31.
LIN Tsao-Jen, LIN Gen-Ming. An experimental study on flow structures of a single bubble rising in a shear-thinning viscoelastic fluid with a new measurement technique [J]. International Journal of Multiphase Flow 2005, 31(2): 239–252.
LI Shao-bai, MA You-guang, ZHU Chun-ying, FU Tao-tao, LI Huai-zhi. The viscosity distribution around a rising bubble in shear-thinning non-Newtonian fluids [J]. Brazilian Journal of Chemical Engineering 2012, 29(2): 265–274.
ZHANG Li, YANG Chao, MAO Zai-sha. Numerical simulation of a bubble rising in shear-thinning fluids [J]. Journal of Non-Newtonian Fluid Mechanics 2010, 165(11): 555–567.
FUNFSCHILLING D, LI Huai-zhi. Flow of non-Newtonian fluids around bubbles: PIV measurements and birefringence visualization [J]. Chemical Engineering Science 2001, 56(3): 1137–1141.
FUNFSCHILLING D, LI Huai-zhi. Effects of the injection period on the rise velocity and shape of a bubble in a non-Newtonian fluid [J]. Chemical Engineering Research and Design 2006, 84(10): 875–883.
VAN SINT ANNALAND M, DIJKHUIZNE W, DEEN N G, KUIPERS J A M. Numerical simulation of behavior of gas bubbles using a 3-D front-tracking method [J]. AIChE Journal 2006, 52(1): 99–110.
YU Zhao, FAN Liang-Shih. Direct simulation of the buoyant rise of bubbles in infinite liquid using level set method [J]. The Canadian Journal of Chemical Engineering 2008, 86(3): 267–275.
RADL S, TRYGGVASON G, KHINAST J G. Flow and mass transfer of fully resolved bubbles in non-Newtonian fluids [J]. AIChE Journal 2007, 53(7): 1861–1878.
KOYNOV A, KHINAST J, TRYGGVASON G. Mass transfer and chemical reactions in bubble swarms with dynamic interfaces [J]. AIChE Journal 2005, 51(10): 2786–2800.
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Foundation item: Project(21406141) supported by the National Natural Science Foundation of China; Project(20141078) supported by the Scientific Research Starting Foundation for Doctors of Liaoning Province, China; Project(L2014060) supported by the Foundation of Department of Education of Liaoning Province, China; Project(157B21) supported by the Scientific Research Starting Foundation for Doctors of Shenyang Aerospace University, China
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Li, Sb., Yan, Z., Li, Rd. et al. Numerical simulation of single bubble rising in shear-thinning fluids by level set method. J. Cent. South Univ. 23, 1000–1006 (2016). https://doi.org/10.1007/s11771-016-3148-3
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DOI: https://doi.org/10.1007/s11771-016-3148-3