Andrej Bombač, Jernej Pirnar
|  K. Kraume, P. Z. Zehner, Experience with experimental standards for measurements of various parameters in stirred tanks, Trans. IChemE. 79(2001) 811-818.
 E.L. Paul, V.A. Atiemo-Obeng, S.M. Kresta (Eds.), Handbook of Industrial Mixing:Science and Practice, John Wiley & Sons, Inc., 2004
 G. Ascanio, B. Castro, E. Galindo, Measurement of Power Consumption in Stirred, vol. 82, 20041282-1290.
 G. Ascanio, Mixing time in stirred vessels:A review of experimental techniques, Chin. J. Chem. Eng. 23(2015) 1065-1076.
 A. Bombač, D. Beader, I. Žun, Mixing times in a stirred vessel with a modified turbine, Acta Chim. Slov. 59(2012) 707-721.
 A.W. Nienow, On impeller circulation and mixing effectiveness in the turbulent flow regime, Chem. Eng. Sci. 52(1997) 2557-2565.
 T.L. Rodgers, L. Gangolf, C. Vannier, M. Parriaud, M. Cooke, Mixing times for process vessels with aspect ratios greater than one, Chem. Eng. Sci. 66(2011) 2935-2944.
 A. Bombač, I. Žun, B. Filipič, M. Žumer, B. Filipic, M. Žumer, Gas-filled cavity structures and local void fraction distribution in aerated stirred vessel, AICHE J. 43(1997) 2921-2931.
 W. Wang, Z.S. Mao, C. Yang, Experimental and numerical investigation on gas holdup and flooding in an aerated stirred tank with Rushton impeller, Ind. Eng. Chem. Res. 45(2006) 1141-1151.
 A. Bombac, I. Zun, Flooding-recognition methods in a turbine-stirred vessel, Stroj. Vestn.-J. Mech. Eng. 48(2002) 663-676.
 A. Bombač, Disc Mixer with Asymmetrical Bended Blades, Patent in Force 24012(A), 2013-09-30, 2013.
 A. Bombač, Asymmetric Blade Disc Turbine for High Aeration Rate in a Fermenter, Stroj. Vestn.-J. Mech. Eng. 64(2018) 513-524.
 M. Cooke, P.J. Heggs, Advantages of the hollow (concave) turbine for multi-phase agitation under intense operating conditions, Chem. Eng. Sci. 60(2005) 5529-5543.
 A.W. Nienow, W. Bujalski, The versatility of up-pumping hydrofoil agitators, Chem. Eng. Res. Des. 82(2004) 1073-1081.
 J.M.T. Vasconcelos, S.C.P. Orvalho, A.M.A.F. Rodrigues, S.S. Alves, Effect of blade shape on the performance of six-bladed disk turbine impellers, Ind. Eng. Chem. Res. 39(2000) 203-213.
 S.S. Alves, C.I. Maia, J.M.T. Vasconcelos, A.J. Serralheiro, Bubble size in aerated stirred tanks, Chem. Eng. J. 89(2002) 109-117.
 A. Bombač, I. Žun, Individual impeller flooding in aerated vessel stirred by multipleRushton impellers, Chem. Eng. J. 116(2006) 85-95.
 F. Magelli, G. Montante, D. Pinelli, A. Paglianti, Mixing time in high aspect ratio vessels stirred with multiple impellers, Chem. Eng. Sci. 101(2013) 712-720.
 P. Vrábel, R.G.J.M. Van Der Lans, K.C.A.M. Luyben, L. Boon, A.W. Nienow, Mixing in large-scale vessels stirred with multiple radial or radial and axial up-pumping impellers:Modelling and measurements, Chem. Eng. Sci. 55(2000) 5881-5896.
 M. hui Xie, J. ye Xia, Z. Zhou, G. zhong Zhou, J. Chu, Y. ping Zhuang, S. liang Zhang, H. Noorman, Power consumption, local and average volumetric mass transfer coefficient in multiple-impeller stirred bioreactors for xanthan gum solutions, Chem. Eng. Sci. 106(2014) 144-156.
 L. Zhang, Q. Pan, G.L. Rempel, Liquid phase mixing and gas hold-up in a multistageagitated contactor with co-current upflow of air/viscous fluids, Chem. Eng. Sci. 61(2006) 6189-6198.
 P.M. Armenante, G.-M. Chang, Power consumption in agitated vessels provided with multiple-disk turbines, Ind. Eng. Chem. Res. 37(1998) 284-291.
 P.M. Armenante, B. Mazzarotta, G.M. Chang, Power consumption in stirred tanks provided with multiple pitched-blade turbines, Ind. Eng. Chem. Res. 38(1999) 2809-2816.
 M.O. Albaek, K.V. Gernaey, S.M. Stocks, Gassed and ungassed power draw in a pilot scale 550 litre fermentor retrofitted with up-pumping hydrofoil B2 impellers in media of different viscosity and with very high power draw, Chem. Eng. Sci. 63(2008) 5813-5820.
 M. Bouaifi, M. Roustan, Power consumption, mixing time and homogenisation energy in dual-impeller agitated gas-liquid reactors, Chem. Eng. Process. 40(2001) 87-95.
 H.V. Hristov, R. Mann, V. Lossev, S.D. Vlaev, A simplified CFD for three-dimensional analysis of fluid mixing, mass transfer and bioreaction in a fermenter equipped with triple novel geometry impellers, Food Bioprod. Process. 82(2004) 21-34.
 D. Pinelli, F. Magelli, Analysis of the fluid dynamic behavior of the liquid and gas phases in reactors stirred with multiple hydrofoil impellers, Ind. Eng. Chem. Res. 39(2000) 3202-3211.
 J. Aubin, C. Xuereb, Design of multiple impeller stirred tanks for the mixing of highly viscous fluids using CFD, Chem. Eng. Sci. 61(2006) 2913-2920.
 E.S.S. Szalai, P. Arratia, K. Johnson, F.J.J. Muzzio, Mixing analysis in a tank stirred with Ekato Intermig® impellers, Chem. Eng. Sci. 59(2004) 3793-3805.
 Y. Bao, L. Chen, Z. Gao, J. Chen, Local void fraction and bubble size distributions in cold-gassed and hot-sparged stirred reactors, Chem. Eng. Sci. 65(2010) 976-984.
 M. Xie, J. Xia, Z. Zhou, J. Chu, Y. Zhuang, S. Zhang, Flow pattern, mixing, gas hold-up and mass transfer coefficient of triple-impeller configurations in stirred tank bioreactors, Ind. Eng. Chem. Res. 53(2014) 5941-5953.
 J. Zhang, Z. Gao, Y. Cai, Z. Cai, J. Yang, Y. Bao, Mass transfer in gas-liquid stirred reactor with various triple-impeller combinations, Chin. J. Chem. Eng. 24(2016) 703-710.
 A. Bombač, Effects of geometrical parameters on Newton number in an aerated stirred tank, Stroj. Vestn.-J. Mech. E 44(1998) 105-116.
 M. Nocentini, D. Fajner, G. Pasquali, F. Magelli, Gas-liquid mass transfer and holdup in vessels stirred with multiple Rushton turbines:Water and water-glycerol solutions, Ind. Eng. Chem. Res. 32(1993) 19-26.
 J.M.T. Vasconcelos, S.S. Alves, J.M. Barata, Mixing in gas-liquid contactors agitated by multiple turbines, Chem. Eng. Sci. 50(1995) 2343-2354.
 T.T. Devi, B. Kumar, Comparison of flow patterns of dual Rushton and CD-6 impellers, Theor. Found. Chem. Eng. 47(2013) 344-355.
 J.-Y.Y. Xia, Y.-H.H. Wang, S.-L.L. Zhang, N. Chen, P. Yin, Y.-P.P. Zhuang, J. Chu, Fluid dynamics investigation of variant impeller combinations by simulation and fermentation experiment, Biochem. Eng. J. 43(2009) 252-260.
 M. Jahoda, L. Tomášková, M. Moštěk, CFD prediction of liquid homogenisation in a gas-liquid stirred tank, Chem. Eng. Res. Des. 87(2009) 460-467.
 D.Y. Luan, Q. Chen, S.J. Zhou, Numerical simulation and analysis of power consumption and Metzner-Otto constant for impeller of 6PBT, Chin. J. Mech. Eng. 27(2014) 635-640.
 P.R. Gogate, A.A.C.M. Beenackers, A.B. Pandit, Multiple-impeller systems with a special emphasis on bioreactors:A critical review, Biochem. Eng. J. 6(2000) 109-144.
 J.B. Joshi, N.K. Nere, C.V. Rane, B.N. Murthy, C.S. Mathpati, A.W. Patwardhan, V.V. Ranade, CFD simulation of stirred tanks:Comparison of turbulence models. Part I:Radial flow impellers, Can. J. Chem. Eng. 89(2011) 23-82.
 G.L. Lane, M.P. Schwarz, G.M. Evans, Numerical modelling of gas-liquid flow in stirred tanks, Chem. Eng. Sci. 60(2005) 2203-2214.
 G.L. Lane, Improving the accuracy of CFD predictions of turbulence in a tank stirred by a hydrofoil impeller, Chem. Eng. Sci. 169(2017) 188-211.
 D. Cheng, S. Wang, C. Yang, Z.-S. Mao, Numerical simulation of turbulent flow and mixing in gas-liquid-liquid stirred tanks, Ind. Eng. Chem. Res. 56(45) (2017) 13050-13063.
 C. Oniscu, A.-I.I. Galaction, D. Cascaval, F. Ungureanu, Modeling of mixing in stirred bioreactors 2. Mixing time for non-aerated broths, Biochem. Eng. J. 12(2002) 61-69.
 S.L.L. Yeoh, G. Papadakis, M. Yianneskis, Determination of mixing time and degree of homogeneity in stirred vessels with large eddy simulation, Chem. Eng. Sci. 60(2005) 2293-2302.
 G. Montante, M. Moštěk, M. Jahoda, F. Magelli, CFD simulations and experimental validation of homogenisation curves and mixing time in stirred Newtonian and pseudoplastic liquids, Chem. Eng. Sci. 60(2005) 2427-2437.
 R. Zadghaffari, J.S. Moghaddas, J. Revstedt, A mixing study in a double-Rushton stirred tank, Comput. Chem. Eng. 33(2009) 1240-1246.
 Q. Zhang, Y. Yong, Z.S. Mao, C. Yang, C. Zhao, Experimental determination and numerical simulation of mixing time in a gas-liquid stirred tank, Chem. Eng. Sci. 64(2009) 2926-2933.
 F. Kerdouss, A. Bannari, P. Proulx, CFD modeling of gas dispersion and bubble size in a double turbine stirred tank, Chem. Eng. Sci. 61(2006) 3313-3322.
 Z. Rek, J. Gregorc, M. Bouaifi, C. Daniel, Numerical simulation of gas jet in liquid crossflow with high mean jet to crossflow velocity ratio, Chem. Eng. Sci. 172(2017) 667-676.
 G. Montante, D. Horn, A. Paglianti, Gas-liquid flow and bubble size distribution in stirred tanks, Chem. Eng. Sci. 63(2008) 2107-2118.
 M. Petitti, A. Nasuti, D.L. Marchisio, M. Vanni, G. Baldi, N. Mancini, F. Podenzani, Bubble size distribution modeling in stirred gas-liquid reactors with QMOM augmented by a new correction algorithm, AICHE J. 56(2010) 36-53.
 M. Taghavi, R. Zadghaffari, J. Moghaddas, Y. Moghaddas, Experimental and CFD investigation of power consumption in a dual Rushton turbine stirred tank, Chem. Eng. Res. Des. 89(2011) 280-290.
 S. Murthy, S. Jayanti, CFD study of power and mixing time for paddle mixing in unbaffled vessels, Chem. Eng. Res. Des. 80(2002) 482-498.
 S.U. Ahmed, P. Ranganathan, A. Pandey, S. Sivaraman, Computational fluid dynamics modeling of gas dispersion in multi impeller bioreactor, J. Biosci. Bioeng. 109(2010) 588-597.
 A. Amanullah, S.A.A. Hjorth, A.W.W. Nienow, Cavern sizes generated in highly shear thinning viscous fluids by SCABA 3SHP1 impellers, Food Bioprod. Process. Trans. Inst. Chem. Eng. Part C. 75(1997) 232-238.
 A. Bombač, I. Žun, Gas-filled cavity structures and local void fraction distribution in vessel with dual-impellers, Chem. Eng. Sci. 55(2000) 2995-3001.
 A. Bombač, Z. Rek, J. Levec, Void fraction distribution in a bisectional bubble column reactor, AICHE J. (2019) 1-19.
 A.R. Khopkar, G.R. Kasat, A.B. Pandit, V.V. Ranade, CFD simulation of mixing in tall gas-liquid stirred vessel:Role of local flow patterns, Chem. Eng. Sci. 61(2006) 2921-2929.
 K.H. Javed, T. Mahmud, J.M. Zhu, Numerical simulation of turbulent batch mixing in a vessel agitated by a Rushton turbine, Chem. Eng. Process. Process Intensif. 45(2006) 99-112.
 A. Ochieng, M.S. Onyango, A. Kumar, K. Kiriamiti, P. Musonge, Mixing in a tank stirred by a Rushton turbine at a low clearance, Chem. Eng. Process. Process Intensif. 47(2008) 842-851.
 ANSYS Fluent Population Balance Module Manual2015.
 L. Pakzad, F. Ein-Mozaffari, S.R. Upreti, A. Lohi, Evaluation of the mixing of nonNewtonian biopolymer solutions in the reactors equipped with the coaxial mixers through tomography and CFD, Chem. Eng. J. 215-216(2013) 279-296.
 H. Wang, X. Jia, X. Wang, Z. Zhou, J. Wen, J. Zhang, CFD modeling of hydrodynamic characteristics of a gas-liquid two-phase stirred tank, Appl. Math. Model. 38(2014) 63-92.
 C. Zheng, J. Guo, C. Wang, Y. Chen, H. Zheng, Z. Yan, Q. Chen, Experimental study and simulation of a three-phase flow stirred bioreactor, Chin. J. Chem. Eng. 27(3) (2019) 649-659.
 Y. Bao, B. Wang, M. Lin, Z. Gao, J. Yang, Influence of impeller diameter on overall gas dispersion properties in a sparged multi-impeller stirred tank, Chin. J. Chem. Eng. 23(2015) 890-896.
 ANSYS, Fluent Theory Guide, 2015.
 M. Ammar, W. Chtourou, Z. Driss, M.S. Abid, Numerical investigation of turbulent flow generated in baffled stirred vessels equipped with three different turbines in one and two-stage system, Energy. 36(2011) 5081-5093.
 L. Schiller, A. Naumann, A drag coefficient correlation, Z. Vereins Dtsch. Ing. 77(1935) 318-320.
 X. Li, G. Xiaoping, Z. Rongtao, Y. Ning, L. Mingyan, CFD simulation of gas dispersion in a stirred tank of dual Rushton turbines, Int. J. Chem. React. Eng. 15(2017) 1-13.
 H. Luo, H.F. Svendsen, Theoretical model for drop and bubble breakup in turbulent dispersions, AICHE J. 42(1996) 1225-1233.
 B. Mayr, A. Moser, E. Nagy, P. Horvat, Scale-up on basis of structured mixing models:A new concept, Biotechnol. Bioeng. 43(2004) 195-206.
 Z. Zhang, W. Zhang, Z.J. Zhai, Q.Y. Chen, Evaluation of various turbulence models in predicting airflow and turbulence in enclosed environments by CFD:Part 2-comparison with experimental data from literature, HVAC&R Res. 13(2007) 871-886.
|||Wenjie Li, Yue Wang, Jie Zhou, Xiaoyu Qiao, Shichang Xu. Adopting inclined channel to decline the salinity mixing for rotary energy recovery device: Simulation and optimization [J]. Chinese Journal of Chemical Engineering, 2021, 32(4): 100-107.|
|||Zhijian Zuo, Shuguang Gong, Guilan Xie. Numerical investigation of granular mixing in an intensive mixer: Effect of process and structural parameters on mixing performance and power consumption [J]. Chinese Journal of Chemical Engineering, 2021, 32(4): 241-252.|
|||Xiaolong Li, Hongliang Zhao, Zimu Zhang, Yan Liu, Ting'an Zhang. Numerical optimization for blades of Intermig impeller in solid-liquid stirred tank [J]. Chinese Journal of Chemical Engineering, 2021, 29(1): 57-66.|
|||Xiaoxia Duan, Xin Feng, Chong Peng, Chao Yang, Zaisha Mao. Numerical simulation of micro-mixing in gas-liquid and solid-liquid stirred tanks with the coupled CFD-E-model [J]. Chinese Journal of Chemical Engineering, 2020, 28(9): 2235-2247.|
|||Zhuokai Zhuang, Jingtian Yan, Chenglang Sun, Haiqiang Wang, Yuejun Wang, Zhongbiao Wu. The numerical simulation of a new double swirl static mixer for gas reactants mixing [J]. Chinese Journal of Chemical Engineering, 2020, 28(9): 2438-2446.|
|||Pei Xie, Kai Wang, Jian Deng, Guangsheng Luo. Continuous, homogeneous and rapid synthesis of 4-bromo-3-methylanisole in a modular microreaction system [J]. Chinese Journal of Chemical Engineering, 2020, 28(8): 2092-2098.|
|||Hongyan Liu, Zhuo Li, Shujun Geng, Fei Gao, Taobo He, Qingshan Huang. Influences of top clearance and liquid throughput on the performances of an external loop airlift slurry reactor integrated mixing and separation [J]. Chinese Journal of Chemical Engineering, 2020, 28(6): 1514-1521.|
|||Amir Heidari. CFD simulation of impeller shape effect on quality of mixing in two-phase gas–liquid agitated vessel [J]. Chinese Journal of Chemical Engineering, 2020, 28(11): 2733-2745.|
|||Niphaphat Phukoetphim, Naulchan Khongsay, Pattana Laopaiboon, Lakkana Laopaiboon. A novel aeration strategy in repeated-batch fermentation for efficient ethanol production from sweet sorghum juice [J]. Chinese Journal of Chemical Engineering, 2019, 27(7): 1651-1658.|
|||Quanhong Zhu, Hang Xiao, Aqiang Chen, Shujun Geng, Qingshan Huang. CFD study on double-to single-loop flow pattern transition and its influence on macro mixing efficiency in fully baffled tank stirred by a Rushton turbine [J]. Chinese Journal of Chemical Engineering, 2019, 27(5): 993-1000.|
|||Rui Xie, Jun Li, Yang Jin, Da Zou, Ming Chen. Simulation of drop breakage in liquid-liquid system by coupling of CFD and PBM: Comparison of breakage kernels and effects of agitator configurations [J]. Chinese Journal of Chemical Engineering, 2019, 27(5): 1001-1014.|
|||Kunpeng Cheng, Chunyu Liu, Tianyu Guo, Lixiong Wen. CFD and experimental investigations on the micromixing performance of single countercurrent-flow microchannel reactor [J]. Chinese Journal of Chemical Engineering, 2019, 27(5): 1079-1088.|
|||Meifang Zhou, Hao Jiang, Yanjie Hu, Zhimin Lu, Haibo Jiang, Chunzhong Li. Analyzing of mixing performance determination factors for the structure of radial multiple jets-in-crossflow [J]. Chinese Journal of Chemical Engineering, 2019, 27(11): 2626-2634.|
|||Kang Yu, Weijie Wang, Tao Zhang, Yumei Yong, Chao Yang. Effects of internals on phase holdup and backmixing in a slightlyexpanded-bed reactor with gas-liquid concurrent upflow [J]. Chinese Journal of Chemical Engineering, 2019, 27(10): 2273-2283.|
|||Meng Li, Yangbo Tan, Yufeng Liu, Jianglong Sun, De Xie, Zeng Liu. Effects of geometrical and physical factors on light particles dispersion by agitation characteristic curve [J]. Chinese Journal of Chemical Engineering, 2019, 27(10): 2313-2324.|