References
- Angeli P, Bieder U, Fauchet G. n.d. Overview of the trio CFD code: main features, V&V procedures and typical applications to nuclear engineering.
- Auchapt P, Ferlay A. 1981. Appareil à Effet Vortex Pour la Fabrication D’un Procédé (Brevet FR 1 556 996).
- Bałdyga J. 1994. A closure model for homogeneous chemical reactions. Chem Eng Sci. 49(12):1985–2003. doi:https://doi.org/10.1016/0009-2509(94)80082-0
- Bałdyga J, Bourne J. 1999. Turbulent mixing and chemical reactions. New York: John Wiley & Sons.
- Bałdyga J, Pohorecki R. 1995. Turbulent micromixing in chemical reactors–a review. Chem Eng J Biochem. 58(2):183–195. doi:https://doi.org/10.1016/0923-0467(95)02982-6
- Belliard M, Chandesris M, Dumas J, Gorsse Y, Jamet D, Josserand C, et al. 2016. An analysis and an affordable regularization technique for the spurious force oscillations in the context of direct-forcing immersed boundary methods. Comput Math Appl. 71(5):1089–1113.
- Bertrand M, Plasari E, Lebaigue O, Baron P, Lamarque N, Ducros F. 2012. Hybrid les–multizonal modelling of the uranium oxalate precipitation. Chem Eng Sci. 77:95–104. doi:https://doi.org/10.1016/j.ces.2012.03.019
- Bertrand M, Lamarque N, Lebaigue O, Plasari E, Ducros F. 2016. Micromixing characterisation in rapid mixing devices by chemical methods and les modelling. Chem Eng J. 283:462–475. doi:https://doi.org/10.1016/j.cej.2015.07.022
- Bois G. 2017. Direct numerical simulation of a turbulent bubbly flow in a vertical channel: towards an improved second-order reynolds stress model. Nucl Eng Des. 321:92–103. doi:https://doi.org/10.1016/j.nucengdes.2017.01.023
- Bourne J, Kozicki F, Moergeli U, Rys P. 1981. Mixing and fast chemical reaction III: model-experiment comparisons. Chem Eng Sci. 36(10):1655–1663. doi:https://doi.org/10.1016/0009-2509(81)80010-3
- Davis M, Davis R. 2012. Fundamentals of chemical reaction engineering. Boston: Courier Corporation.
- DEN-CEA. n.d. TrioCFD. http://triocfd.cea.fr/.
- Doss N, Muhr H, Plasari E. 2005. Experimental study on the choice of contacting fluid devices for controlling the precipitate quality. Application to the precipitation of BaCo3. Chem Eng Trans. 6:365–370.
- Du Cluzeau A, Bois G, Toutant A, Martinez J. 2020. On bubble forces in turbulent channel flows from direct numerical simulations. J Fluid Mech. 882:A27. doi:https://doi.org/10.1017/jfm.2019.807
- Du Cluzeau A, Bois G, Toutant A. 2019. Analysis and modelling of reynolds stresses in turbulent bubbly up-flows from direct numerical simulations. J Fluid Mech. 866:132–168. doi:https://doi.org/10.1017/jfm.2019.100
- Fadlun E, Verzicco R, Orlandi P, Mohd-Yusof J. 2000. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Comput Phys. 161(1):35–60. doi:https://doi.org/10.1006/jcph.2000.6484
- Fedina E, Fureby C, Bulat G, Meier W. 2017. Assessment of finite rate chemistry large eddy simulation combustion models. Flow Turbul Combust. 99(2):385–409. doi:https://doi.org/10.1007/s10494-017-9823-0
- Fortin T. 2006. Une méthode d’éléments finis à décomposition L2 d’ordre élevé motivée par la simulation des écoulements diphasiques bas Mach [Unpublished doctoral dissertation]. Université Paris 6.
- Giaiotti D, Stel F. 2006. The rankine vortex model. University of Trieste - International Centre for Theoretical Physics.
- Hannon H, Hearn S, Marshall L, Zhou W. 1998. Assessment of CFD approaches to predicting fast chemical reactions. Prepared for Presentation at the Annual Meeting, Miami Beach, FL, p. 15–20.
- Hartmann H, Derksen J, Van den Akker H. 2004. Macroinstability uncovered in a rushton turbine stirred tank by means of les. AIChE J. 50(10):2383–2393. doi:https://doi.org/10.1002/aic.10211
- Hinze J. 1959. Turbulence. New York: McGraw-Hill.
- Hjertager L, Hjertager B, Solberg T. 2002. Cfd modelling of fast chemical reactions in turbulent liquid flows. Comput Chem Eng. 26(4–5):507–515.
- Jiménez C, Ducros F, Cuenot B, Bédat B. 2001. Subgrid scale variance and dissipation of a scalar field in large eddy simulations. Phys Fluids. 13(6):1748–1754. doi:https://doi.org/10.1063/1.1366668
- Karadimou D, Papadopoulos P, Markatos N. 2019. Mathematical modelling and numerical simulation of two-phase gas-liquid flows in stirred-tank reactors. J King Saud Univ - Sci. 31(1):33–41. doi:https://doi.org/10.1016/j.jksus.2017.05.015
- Kataoka I. 1986. Local instant formulation of two-phase flow. Int J Multiphase Flow. 12(5):745–758. doi:https://doi.org/10.1016/0301-9322(86)90049-2
- Labourasse E, Lacanette D, Toutant A, Lubin P, Vincent S, Lebaigue O, Caltagirone J-P, Sagaut P. 2007. Towards large eddy simulation of isothermal two-phase flows: governing equations and a priori tests. Int J Multiphase Flow. 33(1):1–39. doi:https://doi.org/10.1016/j.ijmultiphaseflow.2006.05.010
- Lamarque N, Zoppé B, Lebaigue O, Dolias Y, Bertrand M, Ducros F. 2010. Large-eddy simulation of the turbulent free-surface flow in an unbaffled stirred tank reactor. Chem Eng Sci. 65(15):4307–4322. doi:https://doi.org/10.1016/j.ces.2010.03.014
- Lapointe S, Bobbitt B, Blanquart G. 2015. Impact of chemistry models on flame–vortex interaction. Proc Combust Inst. 35(1):1033–1040. doi:https://doi.org/10.1016/j.proci.2014.06.091
- Le Lan A, Angelino H. 1972. Etude du vortex dans les cuves agitées. Chem Eng Sci. 27(11):1969–1978. doi:https://doi.org/10.1016/0009-2509(72)87055-6
- Li Z, Ferrarotti M, Cuoci A, Parente A. 2018. Finite-rate chemistry modelling of non-conventional combustion regimes using a partially-stirred reactor closure: combustion model formulation and implementation details. Appl Energy. 225:637–655. doi:https://doi.org/10.1016/j.apenergy.2018.04.085
- Liakos H, Founti M, Markatos N. 2000. Modelling of stretched natural gas diffusion flames. Appl Math Modell. 24(5–6):419–435. doi:https://doi.org/10.1016/S0307-904X(99)00052-9
- Liakos H, Keramida E, Founti M, Markatos N. 2002. Heat and mass transfer study of impinging turbulent premixed flames. Heat Mass Transf. 38(4–5):425–432. doi:https://doi.org/10.1007/s002310100226
- Magnussen B, Hjertager B. 1977. On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion. Symp (Int) Combust. 16(1):719–729. doi:https://doi.org/10.1016/S0082-0784(77)80366-4
- Mathieu B. 2004. A 3D parallel implementation of the front-tracking method for two-phase flows and moving bodies. 177ème Session du comité scientifique et technique de la Société Hydrotechnique de France, Advances in the modelling methodologies of two-phase flows, Lyon, France.
- Nagata S, Yoshioka N, Yokoyama T. 1955. Studies on the power requirement of mixing impellers. Mem Fac Eng Kyoto Univ. 17:175–185.
- Nicoud F, Ducros F. 1999. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbul Combust. 62(3):183–200. doi:https://doi.org/10.1023/A:1009995426001
- OCCIGEN-CINES. n.d. https://www.cines.fr/calcul/materiels/occigen.
- Perry J. 1950. Chemical engineers’ handbook. Boston: ACS Publications.
- Pohorecki R, Baldyga J. 1983. New model of micromixing in chemical reactors. 1. General development and application to a tubular reactor. Ind Eng Chem Fundam. 22(4):392–397.
- Pope S. 2001. Turbulent flows. IOP Publishing.
- Saikali E. 2018. Numerical modelling of an air-helium buoyant jet in a two vented enclosure [Unpublished doctoral dissertation]. Sorbonne Université.
- Saikali E, Bernard-Michel G, Sergent A, Tenaud C, Salem R. 2019. Highly resolved large eddy simulations of a binary mixture flow in a cavity with two vents: influence of the computational domain. Int J Hydrogen Energy. 44(17):8856–8873. doi:https://doi.org/10.1016/j.ijhydene.2018.08.108
- Saikali E, Rodio MG, Bois G, Bieder U, Leterrier N, Bertrand M, Dolias Y. 2020. Validation of the hydrodynamics in a turbulent un-baffled stirred tank: a necessity for vortex-reactor precipitation studies. Chem Eng Sci. 214:115426. doi:https://doi.org/10.1016/j.ces.2019.115426
- Schumann U. 1975. Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. Comput Phys. 18(4):376–404. doi:https://doi.org/10.1016/0021-9991(75)90093-5
- Smagorinsky J. 1963. General circulation experiments with the primitive equations: I. The basic experiment. Mon Wea Rev. 91(3):99–164. doi:https://doi.org/10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
- Tominaga Y, Stathopoulos T. 2007. Turbulent Schmidt numbers for CFD analysis with various types of flowfield. Atmos Environ. 41(37):8091–8099. doi:https://doi.org/10.1016/j.atmosenv.2007.06.054
- V9.2.1 SALOME platform. n.d. https://www.salome-platform.org/news.