Modelling of mass transfer in gas–liquid stirred tanks agitated by Rushton turbine and CD-6 impeller: A scale-up study

Chemical Engineering Research and Design - Tập 87 - Trang 437-451 - 2009
J. Gimbun1, C.D. Rielly1, Z.K. Nagy1
1Dept. Chemical Engineering, Loughborough University, Leics, LE11 3TU, UK

Tài liệu tham khảo

Alves, 2002, Bubble size in aerated stirred tanks, Chem Eng J, 89, 109, 10.1016/S1385-8947(02)00008-6 Andersson, 2006, On the breakup of fluid particles in turbulent flows, AIChE J, 52, 2020, 10.1002/aic.10831 Bakker, 1994, A computational model for the gas–liquid flow in stirred reactors, Chem Eng Res Des, 72, 594 Barigou, 1992, Bubble-size distributions in a mechanically agitated gas–liquid contactor, Chem Eng Sci, 47, 2009, 10.1016/0009-2509(92)80318-7 Behzadi, 2004, Modelling of dispersed bubble and droplet flow at high phase fractions, Chem Eng Sci, 59, 759, 10.1016/j.ces.2003.11.018 Bordel, 2006, Modeling of the evolution with length of bubble size distributions in bubble columns, Chem Eng Sci, 61, 3663, 10.1016/j.ces.2005.12.035 Brucato, 1998, Particle drag coefficient in turbulent fluids, Chem Eng Sci, 45, 3295, 10.1016/S0009-2509(98)00114-6 Bujalski, 1987, Dependency on scale of power numbers of rushton disc turbines, Chem Eng Sci, 42, 317, 10.1016/0009-2509(87)85061-3 Chen, 2005, Numerical simulation of bubble columns flows: effect of different breakup and coalescence closures, Chem Eng Sci, 60, 1085, 10.1016/j.ces.2004.09.070 Chesters, 1991, The modeling of coalescence processes in fluid–liquid dispersions, Trans IChemE, 69, 259 Clift, 1978 Danckwerts, 1951, Significance of liquid-film coefficients in gas absorption, Ind Eng Chem, 43, 1460, 10.1021/ie50498a055 Deen, 2002, Flow generated by an aerated Rushton impeller: two-phase PIV experiments and numerical simulations, Can J Chem Eng, 80, 638 Derksen, 1999, Three-dimensional LDA measurements in the impeller region of a turbulently stirred tank, Exp Fluids, 27, 522, 10.1007/s003480050376 Ducoste, 1999, Turbulence in flocculators: comparison of measurements and CFD simulations, AIChE J, 45, 432, 10.1002/aic.690450222 Fluent, 2006, Fluent 6.3 User’s Guide. Garcia-Cortes, 2004, Effect of dual impeller-sparged geometry on the hydrodynamic and mass transfer in stirred vessels, Chem Eng Technol, 27, 988, 10.1002/ceat.200401965 Gezork, 2000, The transition from homogeneous to heterogeneous flow in a gassed stirred vessel, Chem Eng Res Des, 78A, 363, 10.1205/026387600527482 Gimbun, J., 2009, Scale-up of stirred bioreactors using coupled computational fluid dynamics and population balance modelling, PhD Thesis, Department of Chemical Engineering, Loughborough University. Gordon, 1968, Error bounds in equilibrium statistical mechanics, J Math Phys, 9, 655, 10.1063/1.1664624 Grenville, 2004, Blending of miscible liquids Guet, 2005, Bubble shape and orientation determination with a four-point optical fiber probe, Exp Therm Fluid Sci, 29, 803, 10.1016/j.expthermflusci.2005.03.007 Higbie, 1935, The rate of absorption of a pure gas into a still liquid during short periods of exposure, Trans Am Inst Chem Eng, 31, 364 Ishii, 1979, Drag coefficient and relative velocity in bubbly, droplet or particulate flows, AIChE J, 25, 843, 10.1002/aic.690250513 Kennard, 1938 Kerdouss, 2006, CFD modelling of gas dispersion and bubble size in a double turbine stirred tank, Chem Eng Sci, 61, 3313, 10.1016/j.ces.2005.11.061 Kerdouss, 2008, Two-phase mass transfer coefficient prediction in stirred vessel with a CFD model, Comput Chem Eng, 32, 1943, 10.1016/j.compchemeng.2007.10.010 Khopkar, 2006, CFD simulation of gas–liquid stirred vessel: VC, S33, and L33 flow regimes, AIChE J, 52, 1654, 10.1002/aic.10762 Kolmogorov, 1941, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Doklady Akademii Nauk SSSR, 30, 301 Laakkonen, 2007, Modelling local bubble size distributions in agitated vessels, Chem Eng Sci, 62, 721, 10.1016/j.ces.2006.10.006 Laakkonen, 2005, Local bubble size distributions in agitated vessel comparison of three experimental techniques, Chem Eng Res Des, 83, 50, 10.1205/cherd.04122 Laakkonen, 2007, Modelling local gas–liquid mass transfer in agitated vessels, Chem Eng Res Des, 85, 665, 10.1205/cherd06171 Lamont, 1970, An eddy cell model of mass transfer into the surface of a turbulent liquid, AIChE J, 16, 513, 10.1002/aic.690160403 Lane, 2002, Predicting gas–liquid flow in a mechanically stirred tank, Appl Math Model, 2, 223, 10.1016/S0307-904X(01)00057-9 Lane, 2005, Numerical modelling of gas–liquid flow in stirred tanks, Chem Eng Sci, 60, 2203, 10.1016/j.ces.2004.11.046 Lehr, 2002, Bubble size distributions and flow fields in bubble columns, AIChE J, 48, 2426, 10.1002/aic.690481103 Lines, 2000, Gas–liquid mass transfer using surface-aeration in stirred vessels with dual impellers, Chem Eng Res Des, 78, 342, 10.1205/026387600527455 Luo, H., 1993, Coalescence, breakup and liquid circulation in bubble column reactors, D.Sc. Thesis, Norwegian Institute of Technology. Luo, 1996, Theoretical model for drop and bubble breakup in turbulent dispersions, AIChE J, 42, 1225, 10.1002/aic.690420505 Marchisio, 2003, Quadrature method of moments for aggregation-breakage processes, J Colloid Interface Sci, 258, 322, 10.1016/S0021-9797(02)00054-1 Martínez-Bazán, 1999, On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency, J Fluid Mech, 401, 157, 10.1017/S0022112099006680 McGraw, 1997, Description of aerosol dynamics by the quadrature method of moments, Aerosol Sci Technol, 27, 255, 10.1080/02786829708965471 Moilanen, 2008, Modelling mass transfer in an aerated 0.2 m3 vessel agitated by Rushton, Phasejet and Combijet impellers, Chem Eng J, 142, 95, 10.1016/j.cej.2008.01.033 Montante, 2008, Gas–liquid flow and bubble size distribution in stirred tanks, Chem Eng Sci, 63, 2107, 10.1016/j.ces.2008.01.005 Morud, 1996, LDA measurements and CFD modelling of gas–liquid flow in a stirred vessel, Chem Eng Sci, 51, 233, 10.1016/0009-2509(95)00270-7 Myers, 1999, Performance of a gas dispersion impeller with vertically asymmetric blades, Chem Eng Res Des, 77, 728, 10.1205/026387699526872 Petitti, 2007, Two-scale simulation of mass transfer in an agitated gas–liquid tank Podila, 2007, CFD simulation of gas–liquid contacting in tubular reactors, Chem Eng Sci, 62, 7151, 10.1016/j.ces.2007.08.081 Prince, 1990, Bubble coalescence and break-up in air-sparged bubble columns, AIChE J, 36, 1485, 10.1002/aic.690361004 Rotta, 1972 Scargiali, 2007, Modelling and simulation of gas–liquid hydrodynamics in mechanically stirred tanks, Chem Eng Res Des, 85, 637, 10.1205/cherd06243 Schiller, 1935, A drag coefficient correlation, Z Ver Deutsch Ing, 77, 318 Schuetze, 2006, Assessing aerated bioreactor performance using CFD, 439 Shimizu, 2000, Phenomenological model for bubble column reactors: prediction of gas hold-ups and volumetric mass transfer coefficients, Chem Eng J, 78, 21, 10.1016/S1385-8947(99)00165-5 Smith, 2006, Large multiphase reactors some open questions, Chem Eng Res Des, 84, 265, 10.1205/cherd05055 Stenberg, 1988, Gas–liquid mass transfer in agitated vessels. Part II. Modeling of gas–liquid mass transfer, Chem Eng Sci, 43, 725, 10.1016/0009-2509(88)87032-5 Sun, 2006, Experimental and numerical study of gas hold-up in surface aerated stirred tanks, Chem Eng Sci, 61, 4098, 10.1016/j.ces.2005.12.029 van’t Riet, 1979, Review of measuring methods and results in nonviscous gas–liquid mass transfer in stirred vessels, Ind Eng Chem Proc Des Dev, 18, 357, 10.1021/i260071a001 Venneker, 2002, Population balance modeling of aerated stirred vessels based on CFD, AIChE J, 48, 673, 10.1002/aic.690480404 Wang, 2006, Experimental and numerical investigation on gas holdup and flooding in an aerated stirred tank with Rushton impeller, Ind Eng Chem Res, 45, 1141, 10.1021/ie0503085 Warmoeskerken, 1982, Description of the power curves of turbine stirred gas dispersions, 237 Wellek, 1966, Shapes of liquid drops moving in liquid media, AIChE J, 12, 854, 10.1002/aic.690120506 Zhu, 2001, Measurement of gas–liquid mass transfer in an agitated vessel-A comparison between different impellers, J Chem Eng Jpn, 34, 579, 10.1252/jcej.34.579