CFD simulation of stirred tanks: Comparison of turbulence models (Part II: Axial flow impellers, multiple impellers and multiphase dispersions)
Abstract
Abstract In the first part of the review, published literature regarding the CFD modelling of single‐phase turbulent flow in stirred tank reactors with radial flow impellers was critically analysed. A brief overview of different turbulence models (standard k − ε model, RNG k − ε model, the Reynolds stress model and large eddy simulation) as well as impeller baffle interaction models has been presented in the previous part. This part is concerned with the review of literature regarding CFD simulation of axial flow impellers. Comprehensive simulations have been carried out using various turbulence models and the model predictions (of all the mean velocities, turbulent kinetic energy and its dissipation rate) have been compared with the experimental measurements at various locations in the tank. The strengths and weaknesses of various turbulence models for axial flow impellers is presented. The quantitative comparison of exact and modelled turbulence production, transport and dissipation terms has highlighted the reasons behind the partial success of various modifications of standard k − ε model as well as Reynolds stress model. Literature efforts on multiple impeller systems and multiphase systems have been discussed in a separate section. Based on these results, suggestions have been made for the future work in this area.
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The predictive power of a CFD model depends decisively on the selection of the considered phenomena as well as on the selected modeling approach and the concrete submodels.
“However, the predictive power of a CFD model depends decisively on the selection of the considered phenomena as well as on the selected modeling approach and the concrete submodels [46-48].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [48]
The sliding mesh technique is routinely used for the simulation of stirred tanks or other geometries with rotating parts.
“The technique is also routinely used for the simulation of stirred tanks or other geometries with rotating parts [47,48,134].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [48]
For stirred tank reactors, the numerical technique used to capture the motion of rotating agitators and the choice of a turbulence model significantly affect the computed flow fields.
“This lack of knowledge should be closed since it was demonstrated for stirred tank reactors that the numerical technique being used to capture the motion of rotating agitators and the choice of a turbulence model significantly affect the computed flow fields [47,48].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [48]
Cites
Renormalization group analysis of turbulence. I. Basic theory
Yakhot, V., & Orszag, S. A. (1986) · Journal of Scientific Computing · doi:10.1007/bf01061452 · Cited by 4,281 · see citing works
Drag coefficient and relative velocity in bubbly, droplet or particulate flows
Ishii, M., & Zuber, N. (1979) · AIChE Journal · doi:10.1002/aic.690250513 · Cited by 2,031 · see citing works
Theoretical model for drop and bubble breakup in turbulent dispersions
Luo, H., & Svendsen, H. F. (1996) · AIChE Journal · doi:10.1002/aic.690420505 · Cited by 1,250 · see citing works
Bubble coalescence and break-up in air-sparged bubble columns
Prince, M. J., & Blanch, H. W. (1990) · AIChE Journal · doi:10.1002/aic.690361004 · Cited by 1,238 · see citing works
Struggle with computational bubble dynamics
(1998) · Multiphase Science and Technology · doi:10.1615/multscientechn.v10.i4.40 · Cited by 663 · see citing works
Oldshue, J. Y. (1983) · Medical Entomology and Zoology · Cited by 574 · see citing works
Motion of entrained particles in gas streams
Clift, R., & Gauvin, W. H. (1971) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450490403 · Cited by 401 · see citing works
Fluid mixing and gas dispersion in agitated tanks
(1991) · Choice Reviews Online · doi:10.5860/choice.29-0927 · Cited by 398 · see citing works
Computational flow modelling and design of bubble column reactors
Joshi, J. B. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00273-1 · Cited by 392 · see citing works
Self-citationEffect of impeller design on the flow pattern and mixing in stirred tanks
Kumaresan, T., & Joshi, J. B. (2005) · Chemical Engineering Journal · doi:10.1016/j.cej.2005.10.002 · Cited by 319 · see citing works
Self-citationDynamic simulation of dispersed gas-liquid two-phase flow using a discrete bubble model
Delnoij, E., Lammers, F. A., Kuipers, J. A. M., & van Swaaij, W. P. M. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(96)00515-5 · Cited by 314 · see citing works
Particle drag coefficients in turbulent fluids
Brucato, A., Grisafi, F., & Montante, G. (1998) · Chemical Engineering Science · doi:10.1016/s0009-2509(98)00114-6 · Cited by 298 · see citing works
Dynamic numerical simulation of gas-liquid two-phase flows Euler/Euler versus Euler/Lagrange
Sokolichin, A., Eigenberger, G., Lapin, A., & Lübert, A. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(96)00425-3 · Cited by 292 · see citing works
Brucato, A., Ciofalo, M., Grisafi, F., & Micale, G. (1998) · Chemical Engineering Science · doi:10.1016/s0009-2509(98)00149-3 · Cited by 283 · see citing works
Suspension of solid particles in turbine agitated baffled vessels
Nienow, A. W. (1968) · Chemical Engineering Science · doi:10.1016/0009-2509(68)89055-4 · Cited by 271 · see citing works
Aubin, J., Fletcher, D. F., & Xuereb, C. (2003) · Experimental Thermal and Fluid Science · doi:10.1016/j.expthermflusci.2003.04.001 · Cited by 269 · see citing works
Modelling of dispersed bubble and droplet flow at high phase fractions
Behzadi, A., Issa, R. I., & Rusche, H. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2003.11.018 · Cited by 262 · see citing works
Mechanically agitated gas-liquid reactors
Joshi, J. B., Pandit, A. B., & Sharma, M. M. (1982) · Chemical Engineering Science · doi:10.1016/0009-2509(82)80171-1 · Cited by 247 · see citing works
Self-citationCFD simulation of liquid-phase mixing in solid–liquid stirred reactor
Kasat, G. R., Khopkar, A., Ranade, V. V., et al. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.04.018 · Cited by 245 · see citing works
Self-citationMultidimensional modeling of turbulent two‐phase flows in stirred vessels
Gosman, A. D., Lekakou, C., Politis, S., Issa, R. I., & Looney, M. (1992) · AIChE Journal · doi:10.1002/aic.690381210 · Cited by 243 · see citing works
Numerical simulation of solids suspension in a stirred tank
Derksen, J. J. (2003) · AIChE Journal · doi:10.1002/aic.690491104 · Cited by 212 · see citing works
Numerical modelling of gas–liquid flow in stirred tanks
Lane, G., Schwarz, M. P., & Evans, G. M. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2004.11.046 · Cited by 211 · see citing works
Murthy, B. N., & Joshi, J. B. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.06.019 · Cited by 210 · see citing works
Self-citationKresta, S. M., & Wood, P. E. (1993) · Chemical Engineering Science · doi:10.1016/0009-2509(93)80346-r · Cited by 209 · see citing works
Impact of tank geometry on the maximum turbulence energy dissipation rate for impellers
Zhou, G., & Kresta, S. M. (1996) · AIChE Journal · doi:10.1002/aic.690420908 · Cited by 201 · see citing works
A CFD–PBM coupled model for gas–liquid flows
Wang, T., Wang, J., & Jin, Y. J. (2005) · AIChE Journal · doi:10.1002/aic.10611 · Cited by 201 · see citing works
Khopkar, A., Rammohan, A. R., Ranade, V. V., et al. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2004.11.044 · Cited by 197 · see citing works
Self-citationCFD modeling of gas dispersion and bubble size in a double turbine stirred tank
Kerdouss, F., Bannari, A., & Proulx, P. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.11.061 · Cited by 193 · see citing works
Modelling local bubble size distributions in agitated vessels
Laakkonen, M., Moilanen, P., Alopaeus, V., & Aittamaa, J. R. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.10.006 · Cited by 187 · see citing works
Bubble size in aerated stirred tanks
Alves, S. S., Maia, C. I., Vasconcelos, J. M. T., & Serralheiro, A. J. (2002) · Chemical Engineering Journal · doi:10.1016/s1385-8947(02)00008-6 · Cited by 170 · see citing works
Hydrodynamic characteristics of dual Rushton impeller stirred vessels
Rutherford, K., Lee, K. C., Mahmoudi, S. M. S., & Yianneskis, M. (1996) · AIChE Journal · doi:10.1002/aic.690420204 · Cited by 165 · see citing works
Two-phase mass transfer coefficient prediction in stirred vessel with a CFD model
Kerdouss, F., Bannari, A., Proulx, P., Bannari, R., Skrga, M., & Labrecque, Y. (2007) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2007.10.010 · Cited by 163 · see citing works
Gimbun, J., Rielly, C. D., & Nagy, Z. K. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2008.12.017 · Cited by 162 · see citing works
Numerical Simulation of the Two-Phase Flow in an Axially Stirred Vessel
Ljungqvist, M., & Rasmuson, A. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152424307 · Cited by 158 · see citing works
Gas–liquid flow and bubble size distribution in stirred tanks
Montante, G., Horn, D., & Paglianti, A. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.01.005 · Cited by 154 · see citing works
Computational Fluid Dynamics Simulation of the Solid Suspension in a Stirred Slurry Reactor
Khopkar, A., Kasat, G. R., Pandit, A. B., et al. (2006) · Industrial & Engineering Chemistry Research · doi:10.1021/ie050941q · Cited by 145 · see citing works
Critical impeller speed for solid suspension in mechanically agitated contactors
Rao, K. S., Rewatkar, V. B., & Joshi, J. B. (1988) · AIChE Journal · doi:10.1002/aic.690340811 · Cited by 142 · see citing works
Self-citationMontante, G., Micale, G., Magelli, F., et al. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152721253 · Cited by 135 · see citing works
Trailing vortices around a 45° pitched‐blade impeller
Schäfer, M., Yianneskis, M., Wächter, P., et al. (1998) · AIChE Journal · doi:10.1002/aic.690440602 · Cited by 130 · see citing works
Liquid-Phase Mixing in Stirred Vessels: Turbulent Flow Regime
Nere, N. K., Patwardhan, A. W., & Joshi, J. B. (2003) · Industrial & Engineering Chemistry Research · doi:10.1021/ie0206397 · Cited by 129 · see citing works
Self-citationAubin, J., Mavros, P. P., Fletcher, D. F., et al. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152721046 · Cited by 125 · see citing works
FLOW GENERATED BY PITCHED BLADE TURBINES I: MEASUREMENTS USING LASER DOPPLER ANEMOMETER
Ranade, V. V., & Joshi, J. B. (1989) · Chemical Engineering Communications · doi:10.1080/00986448908940539 · Cited by 124 · see citing works
Self-citationRelation between Flow Pattern and Blending in Stirred Tanks
Patwardhan, A. W., & Joshi, J. B. (1999) · Industrial & Engineering Chemistry Research · doi:10.1021/ie980772s · Cited by 124 · see citing works
Self-citationA COMPUTATIONAL MODEL FOR THE GAS-LIQUID FLOW IN STIRRED REACTORS
Bakker, A., & Van Der Akker, H. E. A. (1994) · Process Safety and Environmental Protection · Cited by 124 · see citing works
Modelling and Simulation of Gas–Liquid Hydrodynamics in Mechanically Stirred Tanks
Scargiali, F., D’Orazio, A. O., Grisafi, F., et al. (2007) · Process Safety and Environmental Protection · doi:10.1205/cherd06243 · Cited by 123 · see citing works
Predicting gas–liquid flow in a mechanically stirred tank
Lane, G., Schwarz, M. P., & Evans, G. M. (2002) · Applied Mathematical Modelling · doi:10.1016/s0307-904x(01)00057-9 · Cited by 117 · see citing works
Joshi, J. B., & Ranade, V. V. (2003) · Industrial & Engineering Chemistry Research · doi:10.1021/ie0206608 · Cited by 116 · see citing works
Self-citationCFD modelling and mixing in stirred tanks
Sahu, A., Kumar, P., Patwardhan, A. W., & Joshi, J. B. (1999) · Chemical Engineering Science · doi:10.1016/s0009-2509(98)00334-0 · Cited by 113 · see citing works
Self-citationFlow Generated by an Aerated Rushton Impeller: Two-phase PIV Experiments and Numerical Simulations
Deen, N. G., Solberg, T., & Hjertager, B. H. (2002) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450800406 · Cited by 112 · see citing works
Jenne, M., & Reuß, M. (1999) · Chemical Engineering Science · doi:10.1016/s0009-2509(99)00093-7 · Cited by 110 · see citing works
A mixing study in a double-Rushton stirred tank
Zadghaffari, R., Moghaddas, J., & Revstedt, J. (2009) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2009.01.017 · Cited by 107 · see citing works
CFD Simulation of Particle Distribution in Stirred Vessels
Micale, G., Montante, G., Grisafi, F., et al. (2000) · Process Safety and Environmental Protection · doi:10.1205/026387600527338 · Cited by 99 · see citing works
Jahoda, M., Moštěk, M., Kukuková, A., et al. (2007) · Process Safety and Environmental Protection · doi:10.1205/cherd06183 · Cited by 99 · see citing works
Montante, G., & Magelli, F. (2005) · International journal of computational fluid dynamics · doi:10.1080/10618560500081795 · Cited by 98 · see citing works
Armenante, P. M., Luo, C., Chou, C., et al. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(97)00150-4 · Cited by 96 · see citing works
Sliding Mesh Simulation of Laminar Flow in Stirred Reactors
Bakker, A., Laroche, R. D., Wang, M. H., & Calabrese, R. V. (1997) · Chemical Engineering Research and Design · doi:10.1205/026387697523372 · Cited by 96 · see citing works
CFD Simulation of Particle Suspension Height in Stirred Vessels
Micale, G., Grisafi, F., Rizzuti, L., et al. (2004) · Process Safety and Environmental Protection · doi:10.1205/cerd.82.9.1204.44171 · Cited by 95 · see citing works
Schäfer, M., Höfken, M., & Durst, F. (1997) · Process Safety and Environmental Protection · doi:10.1205/026387697524399 · Cited by 94 · see citing works
FLOW GENERATED BY PITCHED BLADE TURBINES II: SIMULATION USING κ-ε MODEL
Ranade, V. V., Joshi, J. B., & Marathe, A. G. (1989) · Chemical Engineering Communications · doi:10.1080/00986448908940540 · Cited by 93 · see citing works
Self-citationLDA measurements and CFD modelling of gas-liquid flow in a stirred vessel
Morud, K. E., & Hjertager, B. H. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(95)00270-7 · Cited by 93 · see citing works
Roussinova, V., Kresta, S. M., & Weetman, R. (2003) · Chemical Engineering Science · doi:10.1016/s0009-2509(03)00097-6 · Cited by 87 · see citing works
Distribution of Energy Between Convective and Turbulent-Flow for 3 Frequently Used Impellers
Zhou, G., & Kresta, S. M. (1996) · Process Safety and Environmental Protection · Cited by 86 · see citing works
Mass transfer and hydrodynamic characteristics of gas inducing type of agitated contactors
Joshi, J. B., & Sharma, M. M. (1977) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450550609 · Cited by 84 · see citing works
Self-citationDense solid–liquid off-bottom suspension dynamics: Simulation and experiment
Tamburini, A., Cipollina, A., Micale, G., et al. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2008.12.024 · Cited by 82 · see citing works
Experimental determination and numerical simulation of mixing time in a gas–liquid stirred tank
Zhang, Q., Yong, Y., Mao, Z., Yang, C., & Zhao, C. (2009) · Chemical Engineering Science · doi:10.1016/j.ces.2009.03.030 · Cited by 77 · see citing works
CFD simulation of gas–liquid stirred vessel: VC, S33, and L33 flow regimes
Khopkar, A., & Ranade, V. V. (2006) · AIChE Journal · doi:10.1002/aic.10762 · Cited by 75 · see citing works
Self-citationGuha, D., Ramachandran, P. A., Duduković, M. P., et al. (2008) · AIChE Journal · doi:10.1002/aic.11417 · Cited by 75 · see citing works
CFD prediction of liquid homogenisation in a gas–liquid stirred tank
Jahoda, M., Tomášková, L., & Moštěk, M. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2008.12.006 · Cited by 74 · see citing works
A computational snapshot of gas—liquid flow in baffled stirred reactors
Ranade, V. V., & den Akker, H. E. A. V. (1994) · Chemical Engineering Science · doi:10.1016/0009-2509(94)00318-1 · Cited by 73 · see citing works
Self-citationDrag models, solids concentration and velocity distribution in a stirred tank
Ochieng, A., & Onyango, M. S. (2007) · Powder Technology · doi:10.1016/j.powtec.2007.03.034 · Cited by 73 · see citing works
Design of multiple impeller stirred tanks for the mixing of highly viscous fluids using CFD
Aubin, J., & Xuereb, C. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.10.075 · Cited by 72 · see citing works
Steady and unsteady computation of impeller‐stirred reactors
Harvey, A. D., & Rogers, S. E. (1996) · AIChE Journal · doi:10.1002/aic.690421002 · Cited by 72 · see citing works
Khopkar, A., Aubin, J., Xuereb, C., et al. (2003) · Industrial & Engineering Chemistry Research · doi:10.1021/ie020954t · Cited by 68 · see citing works
Myers, K. J., Ward, R. W., & Bakker, A. (1997) · Journal of Fluids Engineering · doi:10.1115/1.2819290 · Cited by 67 · see citing works
Design of Gas-Inducing Reactors
Patwardhan, A. W., & Joshi, J. B. (1998) · Industrial & Engineering Chemistry Research · doi:10.1021/ie970504e · Cited by 66 · see citing works
Self-citationVelocity profiles in a baffled vessel with single or double pitched‐blade turbines
Armenante, P. M., & Chou, C. (1996) · AIChE Journal · doi:10.1002/aic.690420106 · Cited by 66 · see citing works
Comparison of axial flow impellers using a laser Doppler anemometer
Ranade, V. V., Mishra, V. P., Saraph, V. S., et al. (1992) · Industrial & Engineering Chemistry Research · doi:10.1021/ie00010a016 · Cited by 66 · see citing works
Self-citationShan, X., Yu, G., Yang, C., et al. (2008) · Industrial & Engineering Chemistry Research · doi:10.1021/ie071225m · Cited by 65 · see citing works
Numerical and Experimental Investigation of Liquid−Liquid Two-Phase Flow in Stirred Tanks
Wang, F., & Mao, Z. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049001g · Cited by 64 · see citing works
Assessment of Large Eddy Simulations for Agitated Flows
Derksen, J. J. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152721334 · Cited by 64 · see citing works
Prediction of flow fields in a dual‐impeller stirred vessel
Micale, G., Brucato, A., Grisafi, F., et al. (1999) · AIChE Journal · doi:10.1002/aic.690450303 · Cited by 63 · see citing works
Direct numerical simulation of turbulent particle dispersion in an unbaffled stirred-tank reactor
Sbrizzai, F., Lavezzo, V., Verzicco, R., et al. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.10.073 · Cited by 63 · see citing works
Moilanen, P., Laakkonen, M., Visuri, O., Alopaeus, V., & Aittamaa, J. R. (2008) · Chemical Engineering Journal · doi:10.1016/j.cej.2008.01.033 · Cited by 62 · see citing works
Scale up study of retreat curve impeller stirred tanks using LDA measurements and CFD simulation
Li, M., White, G., Wilkinson, D., et al. (2005) · Chemical Engineering Journal · doi:10.1016/j.cej.2005.01.005 · Cited by 62 · see citing works
EFFECT OF IMPELLER DESIGN ON LIQUID PHASE MIXING IN MECHANICALLY AGITATED REACTORS
Rewatkar, V. B., & Joshi, J. B. (1991) · Chemical Engineering Communications · doi:10.1080/00986449108910846 · Cited by 60 · see citing works
Self-citationComputational snapshot of flow generated by axial impellers in baffled stirred vessels
Ranade, V. V., & Dommeti, S. M. S. (1996) · Process Safety and Environmental Protection · Cited by 58 · see citing works
Self-citationAxial mixing in pipe flows: turbulent and transition regions
Ekambara, K., & Joshi, J. B. (2003) · Chemical Engineering Science · doi:10.1016/s0009-2509(03)00102-7 · Cited by 57 · see citing works
Self-citationKhopkar, A., & Tanguy, P. A. (2008) · Chemical Engineering Science · doi:10.1016/j.ces.2008.04.039 · Cited by 57 · see citing works
Flow structure and the effect of macro-instabilities in a pitched-blade stirred tank
Roy, S., Acharya, S., & Cloeter, M. D. (2010) · Chemical Engineering Science · doi:10.1016/j.ces.2010.01.025 · Cited by 56 · see citing works
Steady‐state modeling and experimental measurement of a baffled impeller stirred tank
Harvey, A. D., Lee, C. K., & Rogers, S. E. (1995) · AIChE Journal · doi:10.1002/aic.690411002 · Cited by 55 · see citing works
Modelling of Turbulence in Stirred Vessels Using Large Eddy Simulation
Bakker, A., & Oshinowo, L. M. (2004) · Process Safety and Environmental Protection · doi:10.1205/cerd.82.9.1169.44153 · Cited by 54 · see citing works
Tyagi, M., Roy, S., Harvey, A. D., et al. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2006.11.017 · Cited by 51 · see citing works
Hollow self-inducing impellers: Flow visualization and CFD simulation
Murthy, B. N., Deshmukh, N. A., Patwardhan, A. W., et al. (2007) · Chemical Engineering Science · doi:10.1016/j.ces.2007.03.043 · Cited by 51 · see citing works
Self-citationExperimental and computational analysis of immiscible liquid–liquid dispersions in stirred vessels
Laurenzi, F., Coroneo, M., Montante, G., et al. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2008.12.007 · Cited by 50 · see citing works
Large Eddy Simulations of Mixing Time in a Stirred Tank
Min, J., & Gao, Z. (2006) · Chinese Journal of Chemical Engineering · doi:10.1016/s1004-9541(06)60030-x · Cited by 50 · see citing works
Ranade, V. V., Tayalia, Y., & Krishnan, H. (2002) · Chemical Engineering Communications · doi:10.1080/00986440213134 · Cited by 50 · see citing works
Self-citationEffect of Internals on the Flow Pattern and Mixing in Stirred Tanks
Kumaresan, T., Nere, N. K., & Joshi, J. B. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie0503848 · Cited by 49 · see citing works
Self-citationOshinowo, L. M., Jaworski, Z., Dyster, K. N., et al. (2000) · Elsevier eBooks · doi:10.1016/b978-044450476-0/50036-4 · Cited by 49 · see citing works
CFD Simulation of Solids Suspension in Mixing Vessels
Kee, N. C. S., & Tan, R. B. H. (2002) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450800411 · Cited by 48 · see citing works
Experimental and computational study of multiple impeller flows
Harvey, A. D., Wood, S. P., & Leng, D. E. (1997) · Chemical Engineering Science · doi:10.1016/s0009-2509(96)00462-9 · Cited by 48 · see citing works
Mass-Transfer Characteristics of Surface Aerators and Gas-Inducing Impellers
Patil, S., Deshmukh, N. A., & Joshi, J. B. (2004) · Industrial & Engineering Chemistry Research · doi:10.1021/ie030428h · Cited by 47 · see citing works
Self-citationEffect of Particle Size on Simulation of Three-Dimensional Solid Dispersion in Stirred Tank
Altway, A., Setyawan, H., Margono, M., et al. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152721578 · Cited by 47 · see citing works
CFD analysis of industrial multi-staged stirred vessels
Alliet, M., Sardeing, R., Xuereb, C., et al. (2006) · Chemical Engineering and Processing - Process Intensification · doi:10.1016/j.cep.2005.11.003 · Cited by 47 · see citing works
Modelling of the Turbulent Wall Jet Generated by a Pitched Blade Turbine Impeller
Jaworski, Z., & Zakrzewska, B. (2002) · Process Safety and Environmental Protection · doi:10.1205/026387602321143381 · Cited by 46 · see citing works
Importance of using the correct impeller boundary conditions for CFD simulations of stirred tanks
Fokema, M. D., Kresta, S. M., & Wood, P. E. (1994) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450720201 · Cited by 46 · see citing works
Gas–liquid flow in stirred reactors: Trailing vortices and gas accumulation behind impeller blades
Ranade, V. V., & Deshpande, V. R. (1999) · Chemical Engineering Science · doi:10.1016/s0009-2509(98)00301-7 · Cited by 46 · see citing works
Self-citationAbujelala, M. T., & LILLEY, D. G. (1984) · Chemical Engineering Communications · doi:10.1080/00986448408911152 · Cited by 45 · see citing works
Nickel solids concentration distribution in a stirred tank
Ochieng, A., & Lewis, A. E. (2005) · Minerals Engineering · doi:10.1016/j.mineng.2005.09.028 · Cited by 45 · see citing works
Martin, G. Q. (1972) · Industrial & Engineering Chemistry Process Design and Development · doi:10.1021/i260043a012 · Cited by 42 · see citing works
Experimental and numerical study of gas hold-up in surface aerated stirred tanks
Sun, H., Mao, Z., & Yu, G. (2006) · Chemical Engineering Science · doi:10.1016/j.ces.2005.12.029 · Cited by 39 · see citing works
Modelling of the Interaction between Gas and Liquid in Stirred Vessels
Lane, G., Schwarz, M. P., & Evans, G. M. (2000) · Elsevier eBooks · doi:10.1016/b978-044450476-0/50026-1 · Cited by 38 · see citing works
Montante, G., & Magelli, F. (2007) · Industrial & Engineering Chemistry Research · doi:10.1021/ie060616i · Cited by 38 · see citing works
CFD simulations to study shortstopping runaway reactions in a stirred vessel
Dakshinamoorthy, D., Khopkar, A., Louvar, J. F., et al. (2004) · Journal of Loss Prevention in the Process Industries · doi:10.1016/j.jlp.2004.06.007 · Cited by 38 · see citing works
Sahu, A. K., & Joshi, J. B. (1995) · Industrial & Engineering Chemistry Research · doi:10.1021/ie00041a025 · Cited by 36 · see citing works
Self-citationMass Transfer Characteristics of Syngas Components in Slurry System at Industrial Conditions
Yang, W., Wang, J., & Jin, Y. (2001) · Chemical Engineering & Technology · doi:10.1002/1521-4125(200106)24:6 · Cited by 36 · see citing works
Sahu, A., Kumar, P., & Joshi, J. B. (1998) · Industrial & Engineering Chemistry Research · doi:10.1021/ie970321s · Cited by 36 · see citing works
Self-citationThermal Degradation of Poly(vinylbutyral)/Ceramic Composites: A Kinetic Approach
Liau, L. C., & Viswanath, D. S. (1998) · Industrial & Engineering Chemistry Research · doi:10.1021/ie970434b · Cited by 36 · see citing works
Delaplace, G., Torrez, C., Leuliet, J. C., et al. (2001) · Process Safety and Environmental Protection · doi:10.1205/02638760152721460 · Cited by 36 · see citing works
Kukuková, A., Moštěk, M., Jahoda, M., et al. (2005) · Chemical Engineering & Technology · doi:10.1002/ceat.200500094 · Cited by 35 · see citing works
Pinelli, D., Montante, G., & Magelli, F. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2004.04.033 · Cited by 34 · see citing works
The modelling of tangential and axial agitators in chemical reactors
Pericleous, K. A., & Patel, M. K. (1987) · Cited by 34 · see citing works
Design of stirred vessels with gas entrained from free liquid surface
Patwardhan, A. W., & Joshi, J. B. (1998) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450760303 · Cited by 33 · see citing works
Self-citationAn Eulerian/Lagrangian study of solid suspension in stirred tanks
Srinivasa, T., & Jayanti, S. (2007) · AIChE Journal · doi:10.1002/aic.11253 · Cited by 33 · see citing works
Nurtono, T., Setyawan, H., Altway, A., et al. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2009.01.011 · Cited by 32 · see citing works
Fractional gas hold‐up in gas inducing type of mechanically agitated contactors
Saravanan, K., & Joshi, J. B. (1996) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450740104 · Cited by 30 · see citing works
Self-citationLong-time Solids Suspension Simulations by Means of a Large-Eddy Approach
Derksen, J. J. (2006) · Process Safety and Environmental Protection · doi:10.1205/cherd.05069 · Cited by 30 · see citing works
CFD simulation of shortstopping runaway reactions in vessels agitated with impellers and jets
Dakshinamoorthy, D., Khopkar, A., Louvar, J. F., et al. (2006) · Journal of Loss Prevention in the Process Industries · doi:10.1016/j.jlp.2006.02.003 · Cited by 30 · see citing works
Numerical Simulation of Gas Dispersion in an Aerated Stirred Reactor with Multiple Impellers
Min, J., Bao, Y., Chen, L., Gao, Z., & Smith, J. M. (2008) · Industrial & Engineering Chemistry Research · doi:10.1021/ie800490j · Cited by 30 · see citing works
Gao, X., Shi, D.-P., Chen, X., et al. (2010) · Powder Technology · doi:10.1016/j.powtec.2010.06.025 · Cited by 29 · see citing works
The Use of Large Eddy Simulation to Study Stirred Vessel Hydrodynamics
Bakker, A., Oshinowo, L. M., & Marshall, E. M. (2000) · Elsevier eBooks · doi:10.1016/b978-044450476-0/50032-7 · Cited by 29 · see citing works
Optimization of impeller design for gas inducing type mechanically agitated contactors
Mundale, V. D., & Joshi, J. B. (1995) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450730201 · Cited by 28 · see citing works
Self-citationCritical impeller speed for solid suspension in gas inducing type mechanically agitated contactors
Saravanan, K., Patwardhan, A. W., & Joshi, J. B. (1997) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450750403 · Cited by 27 · see citing works
Self-citationThe role of convection and turbulent dispersion in blending
Patwardhan, A. W., Pandit, A. B., & Joshi, J. B. (2003) · Chemical Engineering Science · doi:10.1016/s0009-2509(03)00130-1 · Cited by 27 · see citing works
Self-citationMoštěk, M., Kukuková, A., Jahoda, M., et al. (2005) · Chemical Engineering & Technology · doi:10.1002/ceat.200500093 · Cited by 27 · see citing works
Flow generated by a disc turbine. IV: Multiple impellers
Mishra, V. P., & Joshi, J. B. (1994) · Process Safety and Environmental Protection · Cited by 27 · see citing works
Self-citationDeshmukh, N. A., & Joshi, J. B. (2006) · Process Safety and Environmental Protection · doi:10.1205/cherd05066 · Cited by 26 · see citing works
Self-citationEnergy dissipation rate in a baffled vessel with pitched blade turbine impeller
Jaworski, Z., & Fořt, I. (1991) · Collection of Czechoslovak Chemical Communications · doi:10.1135/cccc19911856 · Cited by 26 · see citing works
Influence of impeller type on the flow structure in a stirred reactor
Revstedt, J., Fuchs, L. J., Kovács, T., et al. (2000) · AIChE Journal · doi:10.1002/aic.690461206 · Cited by 26 · see citing works
Safety aspects in modelling and operating of batch and semibatch stirred tank chemical reactors
Milewska, A., & Molga, E. J. (2009) · Process Safety and Environmental Protection · doi:10.1016/j.cherd.2009.10.014 · Cited by 26 · see citing works
Gas Induction Characteristics of Hollow Self-Inducing Impeller
Deshmukh, N. A., Patil, S. S., & Joshi, J. B. (2006) · Process Safety and Environmental Protection · doi:10.1205/cherd.05005 · Cited by 24 · see citing works
Self-citationPower Consumption in Gas-Inducing-Type Mechanically Agitated Contactors
Saravanan, K., Mundale, V. D., Patwardhan, A. W., et al. (1996) · Industrial & Engineering Chemistry Research · doi:10.1021/ie9503353 · Cited by 24 · see citing works
Self-citationQuantification of the Performance of Agitators In Stirred Vessels
Mavros, P. P., & Baudou, C. (1997) · Process Safety and Environmental Protection · doi:10.1205/026387697524407 · Cited by 23 · see citing works
Montante, G., Pinelli, D., & Magelli, F. (2002) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450800408 · Cited by 22 · see citing works
Sha, Z., Oinas, P., Louhi‐Kultanen, M., et al. (2001) · Powder Technology · doi:10.1016/s0032-5910(01)00369-2 · Cited by 21 · see citing works
Stability of gas‐inducing type impellers
Patil, S., & Josh, J. B. (1999) · The Canadian Journal of Chemical Engineering · doi:10.1002/cjce.5450770503 · Cited by 17 · see citing works
Xuereb, C., & Bertrand, J. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(96)00031-0 · Cited by 15 · see citing works
Optimum Design of Multiple-Impeller Self-Inducing System
Patil, S., & Joshi, J. B. (2003) · Industrial & Engineering Chemistry Research · doi:10.1021/ie020220g · Cited by 14 · see citing works
Self-citationYapıcı, H., & Baştürk, G. (2004) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2004.03.008 · Cited by 13 · see citing works
Numerical simulation of a gas–liquid Rushton stirred reactor – LES and LPT
Arlov, D., Revstedt, J., & Fuchs, L. (2007) · Computers & Fluids · doi:10.1016/j.compfluid.2007.03.017 · Cited by 12 · see citing works
Prediction of Flow Pattern in Stirred Tanks: New Constitutive Equation for Eddy Viscosity
Nere, N. K., Patwardhan, A. W., & Joshi, J. B. (2001) · Industrial & Engineering Chemistry Research · doi:10.1021/ie0004951 · Cited by 11 · see citing works
Self-citationMechanism of Gas Induction in a Self-Inducting Impeller
Patil, S., Mundale, V. D., & Joshi, J. B. (2004) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049282s · Cited by 11 · see citing works
Self-citationDeshpande, V. R., & Ranade, V. V. (2003) · Chemical Engineering Communications · doi:10.1080/00986440302144 · Cited by 11 · see citing works
Self-citationMeasurements and Modelling of Flow in Gas Sparged, Agitated Vessels
PATTERSON, G. K. (1992) · Fluid mechanics and its applications · doi:10.1007/978-94-015-7973-5_6 · Cited by 9 · see citing works
Modeling, analysis, and numerical solution of stirred liquid–liquid dispersions
Schmelter, S. (2008) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2008.04.005 · Cited by 9 · see citing works
Low frequency macroinstabilities in a stirred tank
Roussinova, V. (2001) · ERA: Education and Research Archive (University of Alberta) · doi:10.7939/r3t14tz14 · Cited by 8 · see citing works
OPTIMUM DESIGN OF STATOR-ROTOR ASSEMBLY IN GAS INDUCING TYPE MECHANICALLY AGITATED REACTORS
Patil, S. S., & Joshi, J. B. (1999) · Chemical Engineering Communications · doi:10.1080/00986449908912797 · Cited by 7 · see citing works
Self-citationTwo-scale simulation of mass transfer in an agitated gas-liquid tank
Petitti, M., Caramellino, M., Marchisio, D. L., et al. (2007) · PORTO@Iris · Cited by 6 · see citing works
Fořt, I., Neugebauer, R., & Pastyříková, M. (1971) · Collection of Czechoslovak Chemical Communications · doi:10.1135/cccc19711769 · Cited by 6 · see citing works
The CFD simulation of temperature control in a batch mixing tank
Yang, G., Louhi‐Kultanen, M., & Kallas, J. (2003) · Computer-aided chemical engineering/Computer aided chemical engineering · doi:10.1016/s1570-7946(03)80245-6 · Cited by 4 · see citing works
Developing Chemical Engineering in the World
Bertrand, J. (2001) · Process Safety and Environmental Protection · doi:10.1205/026387601528408 · Cited by 4 · see citing works
Reply to the Comments by I. Fort on “The role of convection and turbulent dispersion in blending”
Patwardhan, A. W., Pandit, A. B., & Joshi, J. B. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2003.11.012 · Cited by 4 · see citing works
Self-citationFořt, I. (2003) · Chemical Engineering Science · doi:10.1016/j.ces.2003.11.011 · Cited by 3 · see citing works
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
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“The technique is also routinely used for the simulation of stirred tanks or other geometries with rotating parts [47,48,134].”
MethodEnergy efficient design of high depth raceway pond using computational fluid dynamics
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Self-citation
- Authors
- Joshi, J. B., Nere, N. K., Rane, C. V., Murthy, B. N., Mathpati, C. S., Patwardhan, A. W., & Ranade, V. V.
- Affiliations
- Institute of Chemical Technology (IN)
- National Chemical Laboratory (IN)
- Corresponding author
- Joshi, Jyeshtharaj B.
- ORCID
- Venue
- The Canadian Journal of Chemical Engineering
- Publisher
- Wiley
- Published
- 2011-04-21
- Volume
- 89
- Issue
- 4
- Pages
- 754-816
- ISSN
- 0008-4034 (ISSN-L)
- 1939-019X
- OpenAlex
- W1971677422
- Cited by
- 131
- References
- 162
- Citations by year
- 2026: 4 · 2025: 11 · 2024: 9 · 2023: 10 · 2022: 13 · 2021: 7 · 2020: 9 · 2019: 7 · 2018: 13 · 2017: 7 · 2016: 7 · 2015: 10 · 2014: 10 · 2013: 10 · 2012: 2
- FWCI
- 4.54
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Canadian Journal of Chemical Engineering (publishedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Keywords
- stirred tank reactor, axial flow impeller, turbulence modeling, k-epsilon turbulence model, RNG k-epsilon turbulence model, Reynolds stress model, large eddy simulation, turbulent kinetic energy dissipation, multiple impellers, turbulent flow modeling
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