Some aspects of photocatalytic reactor modeling using computational fluid dynamics

Chemical Engineering Science

Volumn 101, Issue , 2013, Pages 764-784

  Boyjoo, Yash ^a   Ang, Ming ^a   Pareek, Vishnu ^a  

^a CURTIN UNIVERSITY   (Australia)

Author keywords

Multiphase reactors; Photochemistry; Radiation; Reaction engineering; Review; Simulation

Indexed keywords

BOUNDARY CONDITIONS; HEAT RADIATION; HYDRODYNAMICS; PHOTOCHEMICAL REACTIONS; PHOTOLITHOGRAPHY; REACTION KINETICS; REVIEWS;

EULERIAN-EULERIAN MODELING; IMMOBILIZED REACTOR SYSTEMS; LIGHT INTENSITY DISTRIBUTION; MULTI-PHASE REACTOR; PHOTOCATALYTIC REACTORS; RADIATION TRANSPORT EQUATIONS; REACTION ENGINEERING; SIMULATION;

COMPUTATIONAL FLUID DYNAMICS;

EID: 84882757317     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2013.06.035     Document Type: Review

References (151)

1. Agustina T.E., Ang H., Vareek V. A review of synergistic effect of photocatalysis and ozonation on wastewater treatment. J. Photochem. Photobiol. C: Photochem. Rev. 2005, 6:264-273.
2. Al-Sayyed G., D'Oliveira J.C., Pichat P. Semiconductor-sensitized photodegradation of 4-chlorophenol in water. J. Photochem. Photobiol. A: Chem. 1991, 58:99-114.
3. Alexiadis A. 2-D radiation field in photocatalytic channels of square, rectangular, equilateral triangular and isosceles triangular sections. Chem. Eng. Sci. 2006, 61:516-525.
4. Alexiadis A., Baldi G., Mazzarino I. Modelling of a photocatalytic reactor with a fixed bed of supported catalyst. Catal. Today 2001, 66:467-474.
5. Alfano O., Bahnemann D., Cassano A., Dillert R., Goslich R. Photocatalysis in water environments using artificial and solar light. Catal. Today 2000, 58:199-230.
6. Alfano O.M., Cabrera M.a.I., Cassano A.E. Photocatalytic reactions involving hydroxyl radical attack. J. Catal. 1997, 172:370-379.
7. Alfano O.M., Cabrera M.I., Cassano A.E. Photocatalytic reactions involving hydroxyl radical attack. J. Catal. 1997, 172:370-379.
8. Alfano O.M., Negro A.C., Cabrera M.I., Cassano A.E. Scattering effects produced by inert particles in photochemical reactors. 1. Model and experimental verification. Ind. Eng. Chem. Res. 1995, 34:488-499.
9. Alfano O.M., Romero R.L., Casano A.E. A cylindrical photoreactor irradiated from the bottom-I. Radiation flux density generated by a tubular source and a parabolic reflector. Chem. Eng. Sci. 1985, 40:2119-2127.
10. Alfano O.M., Romero R.L., Cassano A.E. A cylindrical photoreactor irradiated from the bottom-II. Models for the local volumetric rate of energy absorption with polychromatic radiation and their evaluation. Chem. Eng. Sci. 1986, 41:1155-1161.
11. Alfano O.M., Romero R.L., Negro A.C., Cassano A.E. A cylindrical photoreactor irradiated from the bottom-III. Measurement of absolute values of the local volumetric rate of energy absorption. Experiments with polychromatic radiation. Chem. Eng. Sci. 1986, 41:1163-1169.
12. Alfano O.M., Vicente M., Esplugas S., Cassano A.E. Radiation field inside a tubular multilamp reactor for water and wastewater treatment. Ind. Eng. Chem. Res. 1990, 29:1270-1278.
13. Bahnemann D. Photocatalytic water treatment: solar energy applications. Sol. Energy 2004, 77:445-459.
14. Brandi R., Alfano O., Cassano A. Rigorous model and experimental verification of the radiation field in a flat-plate solar collector simulator employed for photocatalytic reactions. Chem. Eng. Sci. 1999, 54:2817-2827.
15. Brandi R.J., Alfano O.M., Cassano A.E. Evaluation of radiation absorption in slurry photocatalytic reactors. 1. Assessment of methods in use and new proposal. Environ. Sci. Technol. 2000, 34:2623-2630.
16. Brandi R.J., Rintoul G., Alfano O.M., Cassano A.E. Photocatalytic reactors: reaction kinetics in a flat plate solar simulator. Catal. Today 2002, 76:161-175.
17. Buwa V.V., Deo D.S., Ranade V.V. Eulerian-Lagrangian simulations of unsteady gas-liquid flows in bubble columns. Int. J. Multiphase Flow 2006, 32:864-885.
18. Cabrera M.I., Alfano O.M., Cassano A.E. Absorption and scattering coefficients of titanium dioxide particulate suspensions in water. J. Phys. Chem. 1996, 100:20043-20050.
19. Cassano A.E., Alfano O.M. Reaction engineering of suspended solid heterogeneous photocatalytic reactors. Catal. Today 2000, 58:167-197.
20. Castrillon S.R.V., de Lasa H.I. Performance evaluation of photocatalytic reactors for air purification using computational fluid dynamics (CFD). Ind. Eng. Chem. Res. 2007, 46:5867-5880.
21. Cerd́a J., Irazoqui H.A., Cassano A.E. Radiation fields inside an elliptical photoreflector with a source of finite spatial dimensions. AIChE J. 1973, 19:963-968.
22. Chai J.C., Parthasarathy G., Lee H.S., Patankar S.V. Finite volume radiative heat transfer procedure for irregular geometries. J. Thermophys. Heat Transfer 1995, 9:410-415.
23. Charles G., Roques-Carmes T., Becheikh N., Falk L., Commenge J.-M., Corbel S. Determination of kinetic constants of a photocatalytic reaction in micro-channel reactors in the presence of mass-transfer limitation and axial dispersion. J. Photochem. Photobiol. A: Chem. 2011, 223:202-211.
24. Chatterjee D., Dasgupta S. Visible light induced photocatalytic degradation of organic pollutants. J. Photochem. Photobiol. C: Photochem. Rev. 2005, 6:186-205.
25. Chen D., Ray A.K. Photodegradation kinetics of 4-nitrophenol in TiO2 suspension. Water Res. 1998, 32:3223-3234.
26. Chen J., Deng B., Kim C.N. Computational fluid dynamics (CFD) modeling of UV disinfection in a closed-conduit reactor. Chem. Eng. Sci. 2011, 66:4983-4990.
27. Chen P., Sanyal J., Dudukovic M.P. CFD modeling of bubble columns flows: implementation of population balance. Chem. Eng. Sci. 2004, 59:5201-5207.
28. Chen P., Sanyal J., Dudukovic M.P. Numerical simulation of bubble columns flows: effect of different breakup and coalescence closures. Chem. Eng. Sci. 2005, 60:1085-1101.
29. Chiovetta M., Romero R., Cassano A. Modeling of a fluidized-bed photocatalytic reactor for water pollution abatement. Chem. Eng. Sci. 2001, 56:1631-1638.
30. Chong S., Wang S., Tade M., Ang H.M., Pareek V. Simulations of photodegradation of toluene and formaldehyde in a monolith reactor using computational fluid dynamics. AIChE J. 2011, 57:724-734.
31. Cornelissen J.T., Taghipour F., Escudie R., Ellis N., Grace J.R. CFD modelling of a liquid-solid fluidized bed. Chem. Eng. Sci. 2007, 62:6334-6348.
32. Coroneo M., Mazzei L., Lettieri P., Paglianti A., Montante G. CFD prediction of segregating fluidized bidisperse mixtures of particles differing in size and density in gas-solid fluidized beds. Chem. Eng. Sci. 2011, 66:2317-2327.
33. Cuevas S.A., Arancibia-Bulnes C.A., Serrano B. Radiation field in an annular photocatalytic reactor by the P1 approximation. Int. J. Chem. Reactor Eng. 2007, 5:58.
34. D'Oliveira J.C., Al-Sayyed G., Pichat P. Photodegradation of 2- and 3-chlorophenol in titanium dioxide aqueous suspensions. Environ. Sci. Technol. 1990, 24:990-996.
35. Danion A., Disdier J., Guillard C., Abdelmalek F., Jaffrezic-Renault N. Characterization and study of a single-TiO2-coated optical fiber reactor. Appl. Catal. B: Environ. 2004, 52:213-223.
36. Deckwer W.D., Field R.W. Bubble Column Reactors 1992, Wiley.
37. Deen N.G., Solberg T., Hjertager B.H. Large eddy simulation of the gas-liquid flow in a square cross-sectioned bubble column. Chem. Eng. Sci. 2001, 56:6341-6349.
38. Denny F., Scott J., Pareek V., Ding Peng G., Amal R. CFD modelling for a TiO2-coated glass-bead photoreactor irradiated by optical fibres: photocatalytic degradation of oxalic acid. Chem. Eng. Sci. 2009, 64:1695-1706.
39. Denny F., Scott J., Pareek V., Peng G.-D., Amal R. Computational fluid dynamics modelling and optimal configuring of a channelled optical fibre photoreactor. Chem. Eng. Sci. 2010, 65:5029-5040.
40. Denny F., Scott J., Peng G.D., Amal R. Channelled optical fibre photoreactor for improved air quality control. Chem. Eng. Sci. 2010, 65:882-889.
41. Dhotre M.T., Niceno B., Smith B.L. Large eddy simulation of a bubble column using dynamic sub-grid scale model. Chem. Eng. J. 2008, 136:337-348.
42. Dijkstra M.F.J., Koerts E.C.B., Beenackers A., Wesselingh J.A. Performance of immobilized photocatalytic reactors in continuous mode. AIChE J. 2003, 49:734-744.
43. Du W., Bao X., Xu J., Wei W. Computational fluid dynamics (CFD) modeling of spouted bed: Assessment of drag coefficient correlations. Chem. Eng. Sci. 2006, 61:1401-1420.
44. Duran J.E., Mohseni M., Taghipour F. Modeling of annular reactors with surface reaction using computational fluid dynamics (CFD). Chem. Eng. Sci. 2010, 65:1201-1211.
45. Duran J.E., Mohseni M., Taghipour F. Computational fluid dynamics modeling of immobilized photocatalytic reactors for water treatment. AIChE J 2011.
46. Duran J.E., Taghipour F., Mohseni M. Irradiance modeling in annular photoreactors using the finite-volume method. J. Photochem. Photobiol. A: Chem. 2010, 215:81-89.
47. Dutta P.K., Ray A.K. Experimental investigation of Taylor vortex photocatalytic reactor for water purification. Chem. Eng. Sci. 2004, 59:5249-5259.
48. Ekambara K., Dhotre M.T., Joshi J.B. CFD simulations of bubble column reactors: 1D, 2D and 3D approach. Chem. Eng. Sci. 2005, 60:6733-6746.
49. Elena Diaz M., Montes F.J., Galan M.A. Influence of the lift force closures on the numerical simulation of bubble plumes in a rectangular bubble column. Chem. Eng. Sci. 2009, 64:930-944.
50. Elyasi S., Taghipour F. General method of simulating radiation fields using measured boundary values. Chem. Eng. Sci. 2010, 65:5573-5581.
51. Elyasi S., Taghipour F. Simulation of UV photoreactor for degradation of chemical contaminants: model development and evaluation. Environ. Sci. Technol. 2010, 44:2056-2063.
52. Eng Y.Y., Sharma V.K., Ray A.K. Photocatalytic degradation of nonionic surfactant, Brij 35 in aqueous TiO2 suspensions. Chemosphere 2010, 79:205-209.
53. Esmaili E., Mahinpey N. Adjustment of drag coefficient correlations in three dimensional CFD simulation of gas-solid bubbling fluidized bed. Adv. Eng. Software 2011, 42:375-386.
54. Esteban Duran J., Taghipour F., Mohseni M. CFD modeling of mass transfer in annular reactors. Int. J. Heat Mass Transfer 2009, 52:5390-5401.
55. Esterkin C.R., Negro A.C., Alfano O.M., Cassano A.E. Radiation field inside a reactor of glass-fiber meshes coated with TiO2. AIChE J. 2002, 48:832-845.
56. Esterkin C.R., Negro A.C., Alfano O.M., Cassano A.E. Air pollution remediation in a fixed bed photocatalytic reactor coated with TiO2. AIChE J. 2005, 51:2298-2310.
57. Farzpourmachiani A., Shams M., Shadaram A., Azidehak F. Eulerian-Lagrangian 3-D simulations of unsteady two-phase gas-liquid flow in a rectangular column by considering bubble interactions. Int. J. Non-Linear Mech. 2011, 46:1049-1056.
58. Fiveland W.A. Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures. J. Heat Transfer 1984, 106:699.
59. Fluent, M., 2005. Version 6.2. 16, Fluent. Inc.
60. Foerster S.F., Louge M.Y., Chang H., Allia K. Measurements of the collision properties of small spheres. Phys. Fluids 1994, 6:1108.
61. Gamwo I.K., Halow J.S., Gidaspow D., Mostofi R. CFD models for methanol synthesis three-phase reactors: reactor optimization. Chem. Eng. J. 2003, 93:103-112.
62. Gidaspow D. Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions 1994, Academic Press.
63. Goldschmidt M.J.V., Kuipers J.A.M., Van Swaaij W.P.M. Hydrodynamic modelling of dense gas-fluidised beds using the kinetic theory of granular flow: effect of coefficient of restitution on bed dynamics. Chem. Eng. Sci. 2001, 56:571-578.
64. Gondret P., Lance M., Petit L. Bouncing motion of spherical particles in fluids. Phys. Fluids 2002, 14:643-652.
65. Goslich R., Dillert R., Bahnemann D. Solar water treatment: principles and reactors. Water Sci. Technol. 1997, 35:137-148.
66. Haji-Sheikh Monte Carlo methods. Handbook of Numerical Heat Transfer 1988, John Wiley & Sons, New York. W.J. Minkowycz, E.M.S., G.E. Schneider, R.H. Pletcher (Eds.).
67. Herrmann J.M. Heterogeneous photocatalysis: fundamentals and applications to the removal of various types of aqueous pollutants. Catal. Today 1999, 53:115-129.
68. Hossain M.M., Raupp G.B., Hay S.O., Obee T.N. Three dimensional developing flow model for photocatalytic monolith reactors. AIChE J. 1999, 45:1309-1321.
69. Huang Q., Liu T., Yang J., Yao L., Gao L. Evaluation of radiative transfer using the finite volume method in cylindrical photoreactors. Chem. Eng. Sci. 2011, 66:3930-3940.
70. Hulme I., Clavelle E., van der Lee L., Kantzas A. CFD modeling and validation of bubble properties for a bubbling fluidized bed. Ind. Eng. Chem. Res. 2005, 44:4254-4266.
71. Hussainova I., Kubarsepp J., Shcheglov I. Investigation of impact of solid particles against hardmetal and cermet targets. Tribol. Int. 1999, 32:337-344.
72. Imoberdorf G.E., Alfano O.M., Cassano A.E., Irazoqui H.A. Monte Carlo model of UV-radiation interaction with TiO2-coated spheres. AIChE J. 2007, 53:2688-2703.
73. Imoberdorf G.E., Cassano A.E., Irazoqui H.A., Alfano O.M. Simulation of a multi-annular photocatalytic reactor for degradation of perchloroethylene in air: Parametric analysis of radiative energy efficiencies. Chem. Eng. Sci. 2007, 62:1138-1154.
74. Imoberdorf G.E., Taghipour F., Keshmiri M., Mohseni M. Predictive radiation field modeling for fluidized bed photocatalytic reactors. Chem. Eng. Sci. 2008, 63:4228-4238.
75. Imoberdorf G.E., Vella G., Sclafani A., Rizzuti L., Alfano O.M., Cassano A.E. Radiation model of a TiO2 coated, quartz wool, packed bed photocatalytic reactor. AIChE J. 2010, 56:1030-1044.
76. Imre B., Rabsamen S., Springman S.M. A coefficient of restitution of rock materials. Comput. Geosci. 2008, 34:339-350.
77. Irazoqui H.A., Cerdá J., Cassano A.E. Radiation profiles in an empty annular photoreactor with a source of finite spatial dimensions. AIChE J. 1973, 19:460-467.
78. Jakobsen H.A., Lindborg H., Dorao C.A. Modeling of bubble column reactors: progress and limitations. Ind. Eng. Chem. Res. 2005, 44:5107-5151.
79. Jarandehei A., De Visscher A. Three dimensional CFD model for a flat plate photocatalytic reactor: degradation of TCE in a serpentine flow field. AIChE J. 2009, 55:312-320.
80. Jin S., Linden K.G., Ducoste J., Liu D. Impact of lamp shadowing and reflection on the fluence rate distribution in a multiple low-pressure UV lamp array. Water Res. 2005, 39:2711-2721.
81. Joseph G.G., Zenit R., Hunt M.L., Rosenwinkel A.M. Particle-wall collisions in a viscous fluid. J. Fluid Mech. 2001, 433:329-346.
82. Krishna R., Van Baten J.M., Urseanu M.I. Three-phase Eulerian simulations of bubble column reactors operating in the churn-turbulent regime: a scale up strategy. Chem. Eng. Sci. 2000, 55:3275-3286.
83. Launder B.E., Spalding D.B. The numerical computation of turbulent flows. Comput. Methods Appl. Mech. Eng. 1974, 3:269-289.
84. Puma G.L. Dimensionless analysis of photocatalytic reactors using suspended solid photocatalysts. Chem. Eng. Res. Des. 2005, 83:820-826.
85. Li Puma G., Yue P.L. Modelling and design of thin-film slurry photocatalytic reactors for water purification. Chem. Eng. Sci. 2003, 58:2269-2281.
86. Lorenz A., Tuozzolo C., Louge M.Y. Measurements of impact properties of small, nearly spherical particles. Exp. Mech. 1997, 37:292-298.
87. Marshall J.S. Viscous damping force during head-on collision of two spherical particles. Phys. Fluids 2011, 23:013305.
88. Martin C.A., Baltanas M.A., Cassano A.E. Photocatalytic reactors I. Optical behavior of titanium oxide particulate suspensions. J. Photochem. Photobiol. A: Chem. 1993, 76:199-208.
89. Mehrotra K., Yablonsky G.S., Ray A.K. Macro kinetic studies for photocatalytic degradation of benzoic acid in immobilized systems. Chemosphere 2005, 60:1427-1436.
90. Mohseni M., Taghipour F. Experimental and CFD analysis of photocatalytic gas phase vinyl chloride (VC) oxidation. Chem. Eng. Sci. 2004, 59:1601-1609.
91. Morsi S.A., Alexander A.J. An investigation of particle trajectories in two-phase flow systems. J. Fluid Mech. 1972, 55:193-208.
92. 2 photocatalysis for indoor air applications: effects of humidity and trace contaminant levels on the oxidation rates of formaldehyde, toluene, and 1, 3-butadiene. Environ. Sci. Technol. 1995, 29:1223-1231.
93. Okamoto K., Yamamoto Y., Tanaka H., Itaya A. Kinetics of heterogeneous photocatalytic decomposition of phenol over anatase TiO2 powder. Bull. Chem. Soc. Jpn 1985, 58:2023-2028.
94. Olmos E., Gentric C., Vial C., Wild G., Midoux N. Numerical simulation of multiphase flow in bubble column reactors. Influence of bubble coalescence and break-up. Chem. Eng. Sci. 2001, 56:6359-6365.
95. Panneerselvam R., Savithri S., Surender G.D. CFD simulation of hydrodynamics of gas-liquid-solid fluidised bed reactor. Chem. Eng. Sci. 2009, 64:1119-1135.
96. Pareek V. Light intensity distribution in a dual-lamp photoreactor. Int. J. Chem. Reactor Eng. 2005, 3:56.
97. Pareek V., Brungs M.P., Adesina A.A. A new simplified model for light scattering in photocatalytic reactors. Ind. Eng. Chem. Res. 2003, 42:26-36.
98. Pareek V., Chong S., Tade M., Adesina A.A. Light intensity distribution in heterogenous photocatalytic reactors. Asia Pac. J. Chem. Eng. 2008, 3:171-201.
99. Pareek V.K., Adesina A.A. Light intensity distribution in a photocatalytic reactor using finite volume. AIChE J. 2004, 50:1273-1288.
100. Pareek V.K., Brungs M.P., Adesina A.A. Continuous process for photodegradation of industrial Bayer liquor. Ind. Eng. Chem. Res. 2001, 40:5120-5125.
101. Pareek V.K., Cox S.J., Brungs M.P., Young B., Adesina A.A. Computational fluid dynamic (CFD) simulation of a pilot-scale annular bubble column photocatalytic reactor. Chem. Eng. Sci. 2003, 58:859-865.
102. Passalia C., Alfano O.M., Brandi R.J. A methodology for modeling photocatalytic reactors for indoor pollution control using previously estimated kinetic parameters. J. Hazardous Mater 2011.
103. Passalia C., Alfano O.M., Brandi R.J. Modeling and experimental verification of a corrugated plate photocatalytic reactor using computational fluid dynamics. Ind. Eng. Chem. Res. 2011, 50:9077-9086.
104. Peral J., Ollis D.F. Heterogeneous photocatalytic oxidation of gas-phase organics for air purification: acetone, 1-butanol, butyraldehyde, formaldehyde, and m-xylene oxidation. J. Catal. 1992, 136:554-565.
105. Pozzo R.L., Baltanas M.A., Cassano A.E. Towards a precise assessment of the performance of supported photocatalysts for water detoxification processes. Catal. Today 1999, 54:143-157.
106. Puma G.L. Modeling of thin-film slurry photocatalytic reactors affected by radiation scattering. Environ. Sci. Technol. 2003, 37:5783-5791.
107. Puma G.L., Khor J.N., Brucato A. Modeling of an annular photocatalytic reactor for water purification: oxidation of pesticides. Environ. Sci. Technol. 2004, 38:3737-3745.
108. Qi, N., Zhang, H., Jin, B., Zhang, K., 2011. CFD modelling of hydrodynamics and degradation kinetics in an annular slurry photocatalytic reactor for wastewater treatment. Chem. Eng. J.
109. Quan Y., Pehkonen S.O., Madhumita B. Evaluation of three different lamp emission models using novel application of potassium ferrioxalate actinometry. Ind. Eng. Chem. Res. 2004, 43:948-955.
110. Queffeulou A.l., Geron L., Schaer E. Prediction of photocatalytic air purifier apparatus performances with a CFD approach using experimentally determined kinetic parameters. Chem. Eng. Sci. 2010, 65:5067-5074.
111. Raithby, G.D., 1997. Computational Radiation Using the Finite-Volume Method. ICHMT Digital Library Online 3.
112. Ranade V.V. Computational Flow Modeling for Chemical Reactor Engineering 2002, Academic Press.
113. 2 and ZnO visible light active. J. Hazardous Mater. 2009, 170:560-569.
114. Romero-Vargas Castrillon S., Ibrahim H., De Lasa H. Flow field investigation in a photocatalytic reactor for air treatment (Photo-CREC-air). Chem. Eng. Sci. 2006, 61:3343-3361.
115. Romero M., Blanco J., Sánchez B., Vidal A., Malato S., Cardona A.I., Garcia E. Solar photocatalytic degradation of water and air pollutants: challenges and perspectives. Sol. Energy 1999, 66:169-182.
116. Romero R.L., Alfano O.M., Cassano A.E. Cylindrical photocatalytic reactors. Radiation absorption and scattering effects produced by suspended fine particles in an annular space. Ind. Eng. Chem. Res. 1997, 36:3094-3109.
117. Romero R.L., Alfano O.M., Cassano A.E. Radiation field in an annular, slurry photocatalytic reactor. 2. Model and experiments. Ind. Eng. Chem. Res. 2003, 42:2479-2488.
118. Romero R.L., Alfano O.M., Cassano A.E. Photocatalytic reactor employing titanium dioxide: from a theoretical model to realistic experimental results. Ind. Eng. Chem. Res. 2009, 48:10456-10466.
119. Romero R.L., Alfano O.M., Marchetti J.L., Cassano A.E. Modelling and parametric sensitivity of an annular photoreactor with complex kinetics. Chem. Eng. Sci. 1983, 38:1593-1605.
120. Salvado-Estivill I., Brucato A., Puma G.L. Two-dimensional modeling of a flat-plate photocatalytic reactor for oxidation of indoor air pollutants. Ind. Eng. Chem. Res. 2007, 46:7489-7496.
121. Salvado-Estivill I., Hargreaves D.M., Puma G.L. Evaluation of the intrinsic photocatalytic oxidation kinetics of indoor air pollutants. Environ. Sci. Technol. 2007, 41:2028-2035.
122. Sanyal J., Roy S., Dudukovic M.P. Numerical simulation of gas-liquid dynamics in cylindrical bubble column reactors. Chem. Eng. Sci. 1999, 54:5071-5083.
123. Satuf M.L., Brandi R.J., Cassano A.E., Alfano O.M. Experimental method to evaluate the optical properties of aqueous titanium dioxide suspensions. Ind. Eng. Chem. Res. 2005, 44:6643-6649.
124. Satuf M.L., Brandi R.J., Cassano A.E., Alfano O.M. Quantum efficiencies of 4-chlorophenol photocatalytic degradation and mineralization in a well-mixed slurry reactor. Ind. Eng. Chem. Res. 2007, 46:43-51.
125. Satuf M.L., Brandi R.J., Cassano A.E., Alfano O.M. Scaling-up of slurry reactors for the photocatalytic degradation of 4-chlorophenol. Catal. Today 2007, 129:110-117.
126. Satuf M.L., Brandi R.J., Cassano A.E., Alfano O.M. Photocatalytic degradation of 4-chlorophenol: a kinetic study. Appl. Catal. B: Environ. 2008, 82:37-49.
127. Schiller L., Naumann Z. A drag coefficient correlation. Z. Ver. Deutsch. Ing. 1935, 77:318-320.
128. Selma B., Bannari R., Proulx P. A full integration of a dispersion and interface closures in the standard k-[epsilon] model of turbulence. Chem. Eng. Sci. 2010, 65:5417-5428.
129. Siegel R., Howell J.R. Thermal Radiation Heat Transfer 2002, Taylor & Francis.
130. Simonnet M., Gentric C., Olmos E., Midoux N. CFD simulation of the flow field in a bubble column reactor: importance of the drag force formulation to describe regime transitions. Chem. Eng. Process.: Process Intensification 2008, 47:1726-1737.
131. Singh M., Salvado-Estivill I., Li Puma G. Radiation field optimization in photocatalytic monolith reactors for air treatment. AIChE J. 2007, 53:678-686.
132. Sozzi D.A., Taghipour F. Computational and experimental study of annular photo-reactor hydrodynamics. Int. J. Heat Fluid Flow, vol. 27 2006, 1043-1053.
133. Srinivasa T., Jayanti S. An eulerian/lagrangian study of solid suspension in stirred tanks. AIChE J. 2007, 53:2461-2469.
134. Stephan B., Ludovic L., Dominique W. Modelling of a falling thin film deposited photocatalytic step reactor for water purification: pesticide treatment. Chem. Eng. J. 2011, 169:216-225.
135. Sudduth R.D. A new method to predict the maximum packing fraction and the viscosity of solutions with a size distribution of suspended particles. II. J. Appl. Polym. Sci. 1993, 48:37-55.
136. Tabib M.V., Roy S.A., Joshi J.B. CFD simulation of bubble column - an analysis of interphase forces and turbulence models. Chem. Eng. J. 2008, 139:589-614.
137. Toepfer B., Gora A., Li Puma G. Photocatalytic oxidation of multicomponent solutions of herbicides: reaction kinetics analysis with explicit photon absorption effects. Appl. Catal. B: Environ 2006, 68:171-180.
138. Trujillo F.J., Safinski T., Adesina A.A. CFD analysis of the radiation distribution in a new immobilized catalyst bubble column externally illuminated photoreactor. J. Sol. Energy Eng. 2007, 129:27.
139. Trujillo F.J., Safinski T., Adesina A.A. Oxidative photomineralization of dichloroacetic acid in an externally-irradiated rectangular bubble tank reactor: computational fluid dynamics modeling and experimental verification studies. Ind. Eng. Chem. Res. 2010, 49:6722-6734.
140. Turchi C.S., Ollis D.F. Photocatalytic degradation of organic water contaminants: mechanisms involving hydroxyl radical attack. J. Catal. 1990, 122:178-192.
141. Turian R.M., Ma T.W., Hsu F.L.G., Sung D.J. Characterization, settling, and rheology of concentrated fine particulate mineral slurries. Powder Technol. 1997, 93:219-233.
142. 2-coated quartz wool packed bed photocatalytic reactor. Appl. Catal. B: Environ. 2010, 96:399-407.
143. Wang T., Wang J., Jin Y. Slurry reactors for gas-to-liquid processes: a review. Ind. Eng. Chem. Res. 2007, 46:5824-5847.
144. Xiaoyan H. CFD modeling of liquid-solid fluidization: effect of drag correlation and added mass force. Particuology 2011, 9:441-445.
145. Yang F.L., Hunt M.L. Dynamics of particle-particle collisions in a viscous liquid. Phys. Fluids 2006, 18:121506.
146. Yang Q., Ling Ang P., Ray M.B., Pehkonen S.O. Light distribution field in catalyst suspensions within an annular photoreactor. Chem. Eng. Sci. 2005, 60:5255-5268.
147. Yang Q., Pehkonen S.O., Ray M.B. Light distribution model for an annular reactor with a cylindrical reflector. Ind. Eng. Chem. Res. 2005, 44:3471-3479.
148. Yu B., Deng B., Kim C.N. Performance evaluation of P-1 model in a photocatalytic reactor. Chem. Eng. Sci. 2008, 63:5552-5558.
149. Zalazar C.S., Labas M.D., Martín C.A., Brandi R.J., Alfano O.M., Cassano A.E. The extended use of actinometry in the interpretation of photochemical reaction engineering data. Chem. Eng. J. 2005, 109:67-81.
150. Zhang L., Anderson W.A. A finite model for the prediction of the UV radiation field around a linear lamp. Chem. Eng. Sci. 2010, 65:1513-1521.
151. Zhong L., Haghighat F. Modeling and validation of a photocatalytic oxidation reactor for indoor environment applications. Chem. Eng. Sci. 2011, 66:5945-5954.