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Investigation of the flow patterns and power requirements in agitated systems: effects of the design of baffles and vessel base

  • Mohammed Foukrach and Houari Ameur ORCID logo EMAIL logo
Published/Copyright: September 4, 2020

Abstract

The flow patterns and power consumption of a six-blade Rushton turbine (RT) in a cylindrical vessel are characterized in this paper. We focus on the effects of the shape of the vessel base by studying two cases: a conical and a dished shape. In addition, the effects of the height of the vessel base (h2) are explored and four cases are considered, namely: h2/D = 1/10, 1/6, 1/5 and 1/3 (D: vessel diameter). In the second part of our investigation, a new design of baffles (a triangular-shaped baffle) is suggested and a comparison is made between the performance of the standard and the triangular baffles. The main findings revealed that the conical shape of the vessel base provides a slight enhancement in the axial circulation at almost the same power input for the dished bottomed vessel. For Re < 2 × 104, the power required by both types of baffles is the same; however, above this value of Re, a reduction by about 4% in power consumption is given by the standard baffles. Also, and for all shapes of baffles and vessel bases, a reduction in power consumption may be obtained by increasing the height of the vessel base.


Corresponding author: Houari Ameur, Department of Technology, University Centre of Naama – Salhi Ahmed, P.O. Box 66, Naama, 45000, Algeria, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Symbols

B

Baffle width, m

c

Distance between agitator and bottom of the vessel, m

d

Impeller diameter, m

D

Vessel diameter, m

g

gravitational constant, m/s2

H

Liquid height, m

h1, L

Baffle length, m

h2

Height of the vessel base, m

N

Agitator speed, s−1

Np

Power number, dimensionless

P

Power consumption, W

Qv

Viscous dissipation function, 1/s

R

Radial coordinate, m

R*

Dimensionless radial coordinate

Re

Reynolds number, dimensionless

V

Velocity, m/s

Vz

Axial velocity, m/s

Vθ

Tangential velocity, m/s

Vr

Radial velocity, m/s

Z

Axial coordinate, m

Z*

Dimensionless axial coordinate

τ

Shear stress, Pa

ρ

Fluid density, kg/m3

η

Viscosity, Pa*s

θ

Angular coordinate, degree

ω

Angular velocity, rad/s

References

Ameur, H. 2016a. “Mixing of Shear Thinning Fluids in Cylindrical Tanks: Effect of the Impeller Blade Design and Operating Conditions.” International Journal of Chemical Reactor Engineering 14: 1025–34, https://doi.org/10.1515/ijcre-2015-0200.Search in Google Scholar

Ameur, H. 2016b. “Agitation of Yield Stress Fluids in Different Vessel Shapes.” Engineering Science and Technology: An International Journal 19: 189–96, https://doi.org/10.1016/j.jestch.2015.06.007.Search in Google Scholar

Ameur, H., and A. Ghenaim. 2018. “Mixing of Complex Fluids in a Cylindrical Tank by a Modified Anchor Impeller.” ChemistrySelect 3: 7472–7, https://doi.org/10.1002/slct.201801047.Search in Google Scholar

Ameur, H., and C. Vial. 2020. “Modified Scaba 6SRGT Impellers for Process Intensification: Cavern Size and Energy Saving When Stirring Viscoplastic Fluids.” Chemical Engineering and Processing – Process Intensification 148: 107795, https://doi.org/10.1016/j.cep.2019.107795.Search in Google Scholar

Ammar, M., Z. Driss, W. Chtourou, and M. Abid. 2011. “Effects of Baffle Length on Turbulent Flows Generated in Stirred Vessels.” Open Engineering 1 (4): 401–12, https://doi.org/10.2478/s13531-011-0040-7.Search in Google Scholar

Askari, E., G. St-Pierre Lemieux, and P. Proulx. 2019. “Application of Extended Quadrature Method of Moments for Simulation of Bubbly Flow and Mass Transfer in Gas–Liquid Stirred Tanks.” Canadian Journal of Chemical Engineering 97 (9): 2548–64, https://doi.org/10.1002/cjce.23470.Search in Google Scholar

Bakker, A., J. B. Fasano, and K. J. Myers. 1994. “Effects of Flow Pattern on the Solids Distribution in a Stirred Tank.” IChemESymp Series 136: 1–8.Search in Google Scholar

Beloudane, M., M. Bouzit, and H. Ameur. 2018. “Numerical Investigation of the Turbulent Flow Generated with a Radial Turbine using a Converging Hollow Blade.” Polish Journal of Chemical Technology 20: 129–37, https://doi.org/10.2478/pjct-2018-0065.Search in Google Scholar

Bittins, K., and P. Zehner. 1994. “Power and Discharge Numbers of Radial-Flow Impellers. Fluid-Dynamic Interactions between Impeller and Baffles.” Chemical Engineering and Processing: Process Intensification 33: 295–301, https://doi.org/10.1016/0255-2701(94)01011-0.Search in Google Scholar

Chtourou, W., M. Ammar, Z. Driss, and M. S. Abid. 2014. “CFD Prediction of the Turbulent Flow Generated in Stirred Square Tank by a Rushton Turbine.” Energy and Power Engineering 6: 95–110, https://doi.org/10.4236/EPE_2014052213235716.Search in Google Scholar

De La Concha-Gómez, A., J. Ramírez-Muñoz, V. Márquez-Baños, C. Haro, and A. Alonso-Gómez. 2019. “Effect of the Rotating Reference Frame Size for Simulating a Mixing Straight-Blade Impeller in a Baffled Stirred Tank.” Revista Mexicana De Ingeniería Química 18 (3): 1143–60, https://doi.org/10.24275/uam/izt/dcbi/revmexingquim/2019v18n3/DeLaConcha.Search in Google Scholar

Foukrach, M., M. Bouzit, H. Ameur, and Y. Kamla. 2019. “Influence of the Vessel Shape on the Performance of a Mechanically Agitated System.” Chemical Papers 73: 469–80, https://doi.org/10.1007/s11696-018-0606-4.Search in Google Scholar

Foukrach, M., M. Bouzit, H. Ameur, and Y. Kamla. 2020. “Effect of Agitator’s Types on the Hydrodynamic Flow in an Agitated Tank.” Chinese Journal of Mechanical Engineering 33: 1–18, https://doi.org/10.1186/s10033-020-00454-2.Search in Google Scholar

Haque, J. N., T. Mahmud, K. J. Roberts, and D. Rhodes. 2006. “Modeling Turbulent Flows with Free Surface in Unbaffled Agitated Vessels.” Industrial and Engineering Chemistry Research 45: 2881–91, https://doi.org/10.1021/ie051021a.Search in Google Scholar

Hashimoto, S., K. Natami, and Y. Inoue. 2011. “Mechanism of Mixing Enhancement with Baffles in Impeller-Agitated Vessel. Part I. A Case Study Based on Cross-sections of Streak Sheet.” Chemical Engineering Science 66: 4690–701, https://doi.org/10.1016/j.ces.2011.06.032.Search in Google Scholar

Heywood, N. I., S. Rehman, and R. G. Whittemore. 1992. “A Comparison of the Efficiency of Five Agitator Designs for Solid Suspension Duties at High Solids Concentrations.” In Fluid Mechanics of Mixing. Fluid Mechanics and Its Applications, Vol. 10, edited by R. King. Dordrecht: Springer. https://doi.org/10.1007/978-94-015-7973-5_14.Search in Google Scholar

Hsu, Y. C., C. J. Huang, W. H. Yen, and R. Y. Peng. 1998. “Onset of Gas Induction and Power Consumption in an Agitated Vessel Hawing Shortened Narrower Baffles.” Journal of Chemical Technology and Biotechnology 71: 187–96, https://doi.org/10.1002/(SICI)1097-4660(199803)71:3.10.1002/(SICI)1097-4660(199803)71:3<187::AID-JCTB820>3.0.CO;2-ZSearch in Google Scholar

Kamla, Y., M. Bouzit, H. Ameur, M. I. Arab, and A. Hadjeb. 2017. “Effect of the Inclination of Baffles on the Power Consumption and Fluid Flows in a Vessel Stirred by a Rushton Turbine.” Chinese Journal of Mechanical Engineering 30: 1008–16. 2017, https://doi.org/10.1007/s10033-017-0158-5.Search in Google Scholar

Karcz, J., and B. Mackiewicz. 2009. “Effects of Vessel Baffling on the Drawdown of Floating Solids.” Chemical Papers 63: 164–71, https://doi.org/10.2478/s11696-009-0011-0.Search in Google Scholar

Karcz, J., and M. Major. 1998. “An Effect of a Baffle Length on the Power Consumption in an Agitated Vessel.” Chemical Engineering and Processing: Process Intensification 37: 249–56, https://doi.org/10.1016/S0255-2701(98)00033-6.Search in Google Scholar

Karcz, J., and F. Stręk. 1995. “Heat Transfer in Jacketed Agitated Vessels Equipped with Nonstandard Baffles.” Chemical Engineering Journal 58: 135–43, https://doi.org/10.1016/0923-0467(94)02945-8.Search in Google Scholar

Karcz, J., and D. Więch. 1999. “Solid Suspension in an Agitated Vessel Equipped with Short Baffles.” Récent Progrès en Génie des Procédés. Heat, Mass & Momentum Transfer – II 67: 129–36.Search in Google Scholar

Kilander, J., and A. Rasmuson. 2005. “Energy Dissipation and Macro Instabilities in a Stirred Square Tank Investigated Using an LE PIV Approach and LDA Measurements.” Chemical Engineering Science 60: 6844–56, https://doi.org/10.1016/j.ces.2005.02.076.Search in Google Scholar

Kilander, J., S. Blomström, and A. Rasmuson. 2006. “Spatial and Temporal Evolution of Floc Size Distribution in a Stirred Square Tank Investigated using PIV and Image Analysis.” Chemical Engineering Science 61: 7651–67, https://doi.org/10.1016/j.ces.2006.09.001.Search in Google Scholar

Kilander, J., S. Blomström, and A. Rasmuson. 2007. “Scale-up Behaviour in Stirred Square Flocculation Tanks.” Chemical Engineering Science 62: 1606–18, https://doi.org/10.1016/j.ces.2006.06.002.Search in Google Scholar

Lu, W. M., H. Z. Wu, and M. Y. Ju. 1997. “Effects of Baffle Design on the Liquid Mixing in an Aerated Stirred Tank with Standard Rushton Turbine Impellers.” Chemical Engineering Science 52: 3843–51, https://doi.org/10.1016/S0009-2509(97)88929-4.Search in Google Scholar

Nagata, S. 1975. Mixing Principles and Applications. Japan: John Wiley & Sons Halstead Press.Search in Google Scholar

Strek, F., and J. Karcz. 1991. “Experimental Determination of the Optimal Geometry of Baffles for Heat Transfer in an Agitated.” Chemical Engineering and Processing: Process Intensification 29: 165–72, https://doi.org/10.1016/0255-2701(91)85016-H.Search in Google Scholar

Woziwodzki, S., and L. Jędrzejczak. 2011. “Effect of Eccentricity on Laminar Mixing in Vessel Stirred by Double Turbine Impellers.” Chemical Engineering Research and Design 89: 2268–78, https://doi.org/10.1016/j.cherd.2011.04.004.Search in Google Scholar

Received: 2020-03-09
Accepted: 2020-06-20
Published Online: 2020-09-04

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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