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Received October 20, 2019
Accepted January 31, 2020
- 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 unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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PIV experimental study on flow structure and dynamics of square stirred tank using modal decomposition
1Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China 2School of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou 730050, China 3Department of Process Equipment and Control Engineering, Hebei University of Technology, Tianjin 300130, China 4Research Center of Engineering Fluid and Process Enhancement, Hebei University of Technology, Tianjin 300130, China
jinjie01@sina.com
Korean Journal of Chemical Engineering, May 2020, 37(5), 755-765(11), 10.1007/s11814-020-0504-7
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Abstract
Stirred mixing is one of the important unit operations in the chemical, petroleum, pharmaceutical and food industries. The mixing of liquids is achieved by a rotating shear flow field formed by a periodic jet flow from the impeller. In this work, we investigated the flow structure in a square stirred tank without baffles and with a Rushton impeller (RT) using particle image velocimetry (PIV) technique. The instantaneous flow fields were obtained as a function of various rotations per minute (rpm) for the impeller (N=120, 150, 180, 210 and 240 rpm), while phase-resolved velocity information was obtained for N=150 rpm. The proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) methods were applied to analyze the velocity fields, flow structure and dynamic information in the absence of impeller area. As demonstrated by the results, there is a wide range of spatial and temporal scales throughout the process. The high energy parts exist in two kinds of structures except for the average fluid flow. The instability phenomenon results from the cyclic shear flow and the trailing vortices structure caused by the periodic jet near the blade passage frequency. As the Reynolds number is on the rise, the periodic flow increases, the random turbulence is reduced, and the flow tends to the ultimate stable state. The square section acts like baffles to change the direction of the fluid circumferential velocity while increasing the radial and tangential flow, which is conducive to mixing. This study provides a basis for understanding the flow structure and unsteady characteristics in a square stirred mixing tank.
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References
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Doulgerakis Z, Yianneskis M, Ducci A, AIChE J., 57(11), 2941 (2011)
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Unadkat H, Rielly CD, Hargrave GK, Nagy ZK, Chem. Eng. Res. Des., 8(7), 573 (2009)
Delafosse A, Collignon ML, Crine M, Toye D, Chem. Eng. Sci., 66(8), 1728 (2011)
Lumley JL, Stochastic tools in turbulence, Dover publications, Publication, New York (2007).
Sirovich L, Quart. Appl. Math., 45, 561 (1987)
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Schmid PJ, J. Fluid Mech., 656, 5 (2010)
Schmid PJ, Exp. Fluids, 50(4), 1123 (2011)
Rowley CW, Mezic I, Bagheri S, Schlatter P, Henningson DS, J. Fluid Mech., 641, 115 (2009)
Roy S, Hua JC, Barnhill W, Gunaratne GH, Gord JR, Phys. Rev. E, 91(1), 013001 (2015)
Cesura A, Carlssona C, Feymarkb A, Fuchsa L, Revstedta J, Comput. Fluids, 101, 27 (2014)
Schmid PJ, Violato D, Scarano F, Exp. Fluids, 52(6), 1567 (2012)
Zhang Q, Liu Y, Wang S, J. Fluids Struct., 49, 53 (2014)
Lamotte AD, Delafosse A, Calvo S, Toye D, CES, 178, 348 (2018)
Moreau J, Line A, AIChE J., 52(7), 2651 (2006)
Doulgerakis Z, Yianneskis M, Ducci A, AIChE J., 57(11), 2941 (2011)
Gabelle JC, Morchain J, Anne-Archard D, Augier F, Line A, AIChE J., 59(6), 2251 (2013)
Line A, Gabelle JC, Morchain J, Anne-Archard D, Augier F, Chem. Eng. Res. Des., 91(11), 2073 (2013)
Gabelle JC, Morchain J, Line A, Chem. Eng. Technol., 40(5), 927 (2017)
Sohn CH, Ju MG, Gowda BHL, J. Mech. Sci. Technol., 24(4), 951 (2010)
Wang CT, Xu Y, Wu YB, An ZC, Can. J. Chem. Eng., 96(3), 788 (2018)
Jakobsen HA, Single phase flow, Springer, Berlin, Heidelberg, 3 (2008).
Adrian RJ, Westerweel J, Particle image velocimetry, Cambridge University Press, Publication, Cambridge (2010).
Choi H, Lee J, Park H, Fluids, 31(1), 05102 (2019)
Raffel M, Willert CE, Wereley ST, Kompenhans J, Particle image velocimetry, A practical guide Springer-Verlag, Publication, Berlin (1998).
Lumley JL, Stochastic tools in turbulence, Dover Publications, N.Y., USA (2007).
Ruhe A, Linear Algebra Appl., 58, 391 (1984)
Chen WYC, Louck JD, Linear Algebra Appl., 232, 261 (1996)
Chung KHK, Simmons MJH, Barigou M, Ind. Eng. Chem. Res., 48(2), 1008 (2009)
Zhou J, Adrian RJ, Balachandar S, J. Fluid Mech., 387, 353 (1999)
Eng M, Rasmuson A, Chem. Eng. J., 259, 900 (2015)
Doulgerakis Z, Yianneskis M, Ducci A, AIChE J., 57(11), 2941 (2011)