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Received June 15, 2013
Accepted August 11, 2013
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This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits
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Mixing of initially stratified miscible fluids in an eccentric stirred tank: Detached eddy simulation and volume of fluid study
1School of Mechanical Engineering, Shandong University, Jinan 250061, China 2Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Shandong University, Ministry of Education, Jinan 250061, China 3Shandong Province Academy of Sciences, Tianli Drying Equipment Incorporated Company, Jinan 250014, China
Korean Journal of Chemical Engineering, October 2013, 30(10), 1843-1854(12), 10.1007/s11814-013-0154-0
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Abstract
Mixing of two stratified miscible fluids in an eccentric stirred tank agitated by a four pitched-blade turbine was studied by using the detached eddy simulation (DES) model and volume of fluid(VOF) method. The fluids were operated in the transitional and mildly turbulent flow regimes. Interfaces between the two miscible fluids during the mixing processes were captured and mixing times were computed. Effects of the Richardson number and eccentricity on the mixing times were quantificationally analyzed. Results show that the spatial and temporal variations of volume fractions of the fluids can be well captured by the method presented in this study. Mixing time increases with the increase of Richardson number. Effect of eccentricity on mixing time depends on Richardson number and the eccentric agitation scheme is not advisable to use to blend the low-viscosity miscible fluids starting from a stratified state, especially for lower Richardson values.
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References
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Gogate PR, Pandit AB, Can. J. Chem. Eng., 77(5), 988 (1999)
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Jang Y, de Bruyn Kops SM, Comput. Fluids., 36, 238 (2007)
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Derksen JJ, Comput. Fluids., 50, 35 (2011)
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Fernando HJS, Annu. Rev. Fluid Mech., 23, 455 (1991)
Holford JM, Linden PF, Dyn. Atmos. Oceans., 30, 173 (1999)
Ivey GN, Winters KB, Koseff JR, Annu. Rev. Fluid Mech., 40, 169 (2008)
Muller P, Garrett C, J. Oceanogr., 15, 12 (2002)
Remmler S, Hickel S, Int. J. Heat Fluid Flow., 35, 13 (2012)
Yang FL, Zhou SJ, Wang GC, Comput. Fluids., 64, 74 (2012)
Serra A, Campolo M, Soldati A, Chem. Eng. Sci., 56(8), 2715 (2001)
Haque JN, Mahmud T, Roberts KJ, Rhodes D, Ind. Eng. Chem. Res., 45(8), 2881 (2006)
Glover GMC, Fitzpatrick JJ, Chem. Eng. J., 127(1-3), 11 (2007)
Torre JP, Fletcher DF, Lasuye T, Xuereb C, Chem. Eng. Sci., 62(22), 6246 (2007)
Mahmud T, Haque JN, Roberts KJ, Rhodes D, Wilkinson D, Chem. Eng. Sci., 64(20), 4197 (2009)
Lamarque N, Zoppe B, Lebaigue O, Dolias Y, Bertrand M, Ducros F, Chem. Eng. Sci., 65(15), 4307 (2010)
Jahoda M, Mostek M, Fort I, Hasal P, Can. J. Chem. Eng., 89(4), 717 (2011)
Gimbun J, Rielly CD, Nagy ZK, Derksen JJ, AIChE J., 58(10), 3224 (2012)
Yang FL, Zhou SJ, Zhang CX, Evans GM, Wang GC, Chem. Eng. Commun., 200(10), 1347 (2013)
Strelets M, AIAA-2001-0879.
Li XX, Ren YX, J. Tsinghua Univ. (Sci. & Technol.)., 44, 1126 (2004)
Spalart PR, Jou WH, Strelets M, Allmaras SR, In: Advances in DNS/LES C. Liu and Z. Liu Eds., Greyden Press, Columbus, OH (1997)
Spalart PR, NASA/CR-2001-211032.
Spalart PR, Annu. Rev. Fluid. Mech., 41, 181 (2009)
Zadghaffari R, Moghaddas JS, Revstedt J, Comput. Fluids., 39, 1183 (2010)
Revstedt J, Fuchs L, Tragardh C, Chem. Eng. Sci., 53(24), 4041 (1998)
Ascanio G, Brito-Bazan M, Brito-De La Fuente E, Carreau PJ, Tanguy PA, Can. J. Chem. Eng., 80(4), 558 (2002)
