Heat and mass transfer in cocurrent gas-liquid packed beds. Analysis, recommendations, and new correlations

Industrial and Engineering Chemistry Research

Volumn 42, Issue 1, 2003, Pages 222-242

  Larachi, Faïçal ^a   Belfares, Lamia ^a   Iliuta, Ion ^a   Grandjean, Bernard P A ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE COLUMNS; GASES; HEAT TRANSFER; LIQUIDS; MASS TRANSFER; VOLUMETRIC ANALYSIS;

RADIAL THERMAL CONDUCTIVITY;

CHEMICAL ENGINEERING;

FLUID FLOW; GAS-LIQUID FLUIDIZED BED; HEAT TRANSFER; MASS TRANSFER; PACKED BED; REACTOR;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CORRELATION ANALYSIS; DATA BASE; EMPIRICISM; FLOW KINETICS; GAS; HEAT TRANSFER; LIQUID; LITERATURE; PACKED BED REACTOR; THERMODYNAMICS;

EID: 0037425426     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie020416g     Document Type: Article

References (161)

1. Dudukovic, M. P.; Larachi, F.; Mills, P. L. Multiphase reactors - Revisited. Chem. Eng. Sci, 1999, 54, 1975.
2. Dudukovic, M. P.; Larachi, F.; Mills, P. L. Multiphase catalytic reactors: A perspective on current knowledge and future trends. Catal. Rev. 2002, 44, 123.
3. Chen, Y. W.; Tsai, M. C. Hydrodrodesulfurization of atmospheric gas oil over NiMo/aluminum borate catalysts in a trickle-bed reactor. Ind. Eng. Chem. Res. 1997, 36, 2521.
4. Landau, M. V.; Herskowitz, M.; Givoni, D.; Laichter, S.; Yitzhaki, D. Medium severity hydrotreating and hydrocracking of Israeli shale oil - II. Testing of novel catalyst systems in a tricklebed reactor. Fuel 1998, 77, 3.
5. Westerterp, K. R.; Wammes, W. J. A. Three-phase tricklebed reactors, in: Principles of Chemical Reaction Engineering and Plant Design. Ullmann's Encyclopedia of Industrial Chemistry, 5th Ed.; 1992; Vol. B4, p 309.
6. Chou, S. H.; Chen, S. C,; Tan, C. S.; Wang, W. H. Hydrogenation of dicyclopentadiene in a trickle-bed reactor. J. Chin. Inst. Chem. Eng. 1997, 28, 175.
7. Khadilkar, M. R.; Jiang, Y.; Al-Dahhan, M.; Dudukovic, M. P.; Chou, S. K.; Ahmed, G.; Kahney, R. Investigation of a complex reaction network: Experiments in a high-pressure trickle-bed reactor. I. AIChE J. 1998, 44, 912.
8. Cheng, S.; Chuang, K. T. Simultaneous methanol removal and destruction from wastewater in a trickle-bed reactor. Can. J. Chem. Eng. 1992, 70, 727.
9. Pintar, A.; Bercic, G.; Levec, J. Catalytic liquid-phase oxidation of aqueous phenol solutions in a trickle-bed reactor. Chem. Eng. Sci. 1997, 52, 4143.
10. Wübker, S.-M.; Laurenzis, A.; Werner, U.; Friedrich, C. Controlled biomass formation and kinetics of toluene degradation in a bio-scrubber and in a reactor with a periodically moved trickle bed. Biotechnol. Bioeng. 1997, 55, 686.
11. Azzaz, M. S. Réacteurs Gaz-Liquide-Solide À Lit Fixe: Réactions Catalytiques, Hydrodynamique et Transfert de Matière. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1984.
12. Blok, J. R.; Koning, C. E.; Drinkenburg, A. A. H. Gas-liquid mass transfer in fixed-bed reactors with cocurrent downflow operating in the pulsing flow regime. AIChE J. 1984, 30, 393.
13. Frank, M. J. W. Mass and heat transfer phenomena in G-L(-S) reactors relevant for reactive distillation. Ph.D. Thesis, Twente University, Enschede, The Netherlands, 1996.
14. Fukushima, S.; Kusaka, K. Liquid-phase volumetric and mass transfer coefficient, and boundary of hydrodynamic flow region in packed column with cocurrent downward flow. J. Chem. Eng. Jpn. 1977, 10, 468.
15. Gianetto, A.; Specchia, V.; Baldi, G. Absorption in packed towers with concurrent downward high-velocity flows. II - Mass transfer. AIChE J. 1973, 19, 916.
16. Goto, S.; Smith, J. M. Trickle-bed reactor performance: Holdup and mass transfer effects. AIChE J. 1975, 21, 706.
17. Goto, S.; Levec, J.; Smith, J. M. Mass transfer in packed beds with two-phase flow. Ind. Eng. Chem. Process Des. Dev. 1975, 14, 473.
18. Guangda, G.; Dudukovic, M. P. Mass transfer and pressure drop in trickle beds with small particles. J. Chem. Eng. Chin. Univ. 1993, 7, 29.
19. Hirose, T.; Toda, M.; Sato, Y. Liquid-phase mass transfer in packed bed reactor with cocurrent gas-liquid downflow. J. Chem. Eng. Jpn. 1974, 7, 187.
20. Iliuta, I. Hydrodynamics and mass transfer in multiphase fixed bed reactors. Ph.D. Thesis, Université Catholique de Louvain, Louvain, Belgium, 1996.
21. Iliuta, I.; Thyrion, F. C. Gas-liquid mass transfer in fixed beds with two-phase cocurrent downflow: Gas/Newtonian and non-Newtonian liquid systems. Chem. Eng. Technol. 1997, 20, 538.
22. Iliuta, I.; Iliuta, M. C.; Thyrion, F. C. Gas-liquid mass transfer in trickle-bed reactors: Gas-side mass transfer. Chem. Eng. Technol. 1997, 20, 589.
23. Lakota, A. Hydrodynamics and mass transfer characteristics of trickle-bed reactors. Ph.D. Thesis, University of Ljubljana, Ljubljana, Slovenia, 1990.
24. Larachi, F. Les Réacteurs Triphasiques à Lit Fixe à Écoulement à Co-courant Vers le Bas et Vers le Haut de Gaz et de Liquide. Étude de L'influence de la Pression sur L'hydrodynamique et le Transfert de Matière Gaz-Liquide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1991.
25. Lara-Marquez, A.; Larachi, F.; Wild, G.; Laurent, A. Mass transfer characteristics of fixed beds with cocurrent upflow and downflow. A special reference to the effect of pressure. Chem. Eng. Sci. 1992, 47, 3485.
26. Larachi, F.; Cassanello, M.; Laurent, A. Gas-liquid interfacial mass transfer in trickle-bed reactors at elevated pressures. Ind. Eng. Chem. Res. 1998, 37, 7, 718.
27. Mahajani, V. V.; Sharma, M. M. Effective interfacial area and liquid side mass transfer coefficient in trickle bed reactors. Chem. Eng. Sci. 1979, 34, 1425.
28. Midoux, N.; Morsi, B. I.; Purwasasmita, M.; Laurent, A.; Charpentier, J. C. Interfacial area and liquid side mass transfer coefficient in trickle bed reactors operating organic liquids. Chem. Eng. Sci. 1984, 39, 781.
29. Morsi, B. I. Hydrodynamique, Aires Interfaciales et Coefficients de Transfert de Matière Gaz-Liquide Dans les Réacteurs Catalytiques à Lit Fixe Arrosé: Les Résultats Obtenus En Milieu Liquide Aqueux Académique Sont-ils Encore Représentatifs en Milieu Organique Industriel? Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1982.
30. Morsi, B. I.; Laurent, A.; Midoux, N.; Barthole-Delanauy, G.; Storck, A.; Charpentier, J. C. Hydrodynamics and gas-liquid-olid interfacial parameters of co-current downward two-phase flow in trickle-bed reactors. Chem. Eng. Commun. 1984, 25, 267.
31. Morsi, B. I. Mass transfer coefficients in a trickle-bed reactor with high and low viscosity organic solutions. Chem. Eng. J. 1989, 41, 41.
32. Patil, V. K.; Sharma, M. M. Hydrodynamics and mass transfer characteristics of co-current downflow packed tube columns. Can. J. Chem. Eng. 1983, 61, 509.
33. Purwasasmita, M. Contribution à L'étude des Réacteurs Gaz-Liquide à Lit Fixe à Co-courant Vers le Bas à Fortes Vitesses du Gaz et du Liquide. Hydrodynamique, Transfert de Matière et de Chaleur Pour des Liquides Aqueux et Organiques. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1985.
34. Seirafi, H. A.; Smith, J. M. Mass transfer and adsorption in liquid-full and trickle beds. AIChE J. 1980, 26, 711.
35. Sylvester, N. D.; Pitayagulsarn, P. Mass transfer for two-phase cocurrent downflow in a packed bed. Ind. Eng. Chem. Process Des. Dev. 1975, 14, 421.
36. Turek, F.; Lange, R. Mass transfer in trickle-bed reactors at low Reynolds number, Chem. Eng. Sci. 1981, 36, 569.
37. Ufford, R. C.; Perona, J. J. Liquid-phase mass transfer with concurrent flow through packed towers. AIChE J. 1973, 19, 1223.
38. Wang, R.; Mao, Z.; Chen, J. Hysteresis of gas-liquid mass transfer in a trickle bed reactor. Chin. J. Chem. Eng. 1994, 2, 236.
39. Wang, R.; Luan, M.; Mao, Z.; Chen, J. Correlation between hysteresis of gas-liquid mass transfer and liquid distribution in a trickle bed. Chin. J. Chem. Eng. 1997, 5, 135.
40. Martin, J. M.; Combarnous, M.; Charpentier, J. C. Physical gas-liquid mass transfer for cocurrent flow through porous medium with liquid and gas flow rates corresponding to the conditions of enhanced oil recovery. Chem. Eng. Sci. 1980, 35, 2366.
41. Shende, B. W.; Sharma, M. M. Mass transfer in packed columns: Cocurrent operation. Chem. Eng. Sci. 1974, 29, 1763.
42. Wen, C. Y.; O'Brien, W. S.; Fan, L. T. Mass transfer in packed beds operated cocurrently. J. Chem. Eng. Data 1963, 8, 42.
43. Yaïci, W. Mise au Point de Nouveaux Systèmes D'absorption Gaz-Liquide avec Réaction Chimique en Milieux Liquides Aqueux et Organique en Vue de Leur Application à la Détermination par Méthode Chimique de la Conductance de Transfert de Matière en Phase Gazeuse Dans un Réacteur Catalytique à lit Fixe Arrosé. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1985.
44. Yaïci, W.; Laurent, A.; Midoux, N.; Charpentier, J. C. Détermination des coefficients de transfert de matière en phase gazeuse dans un réacteur catalytique à lit fixe arrosé en présence de phases liquides aqueuses et organiques. Bull. Soc. Chim. Fr. 1985, 6, 1032.
45. Yaïci, W.; Laurent, A.; Midoux, N.; Charpentier, J. C. Determination of gas-side mass transfer coefficients in trickle-bed reactors in the presence of an aqueous or an organic liquid phase. Int. Chem. Eng. 1988, 28, 299.
46. Bakos, M.; Arva, P.; Szeifert, F. Interfacial area in packed bed gas-liquid reactors with co-current downward flow. Hung. J. Ind. Chem. 1980, 8, 383.
47. Fukushima, S.; Kusaka, K. Interfacial area and boundary of hydrodynamic flow region in packed column with cocurrent downward flow. J. Chem. Eng. Jpn. 1977, 10, 461.
48. Gianetto, A.; Baldi, G.; Specchia, V. Absorption in packed towers with concurrent high velocity flows. I - Interfacial areas. Quad. Ing. Chim. Ital. 1970, 6, 125.
49. Larachi, F.; Laurent, A.; Wild, G.; Midoux, N. Pressure effects on gas-liquid interfacial area in cocurrent trickle-flow reactors. Chem. Eng. Sci. 1992, 47, 2325.
50. Larachi, F.; Cassanello, M.; Laurent, A.; Midoux, N.; Wild, G. Gas-liquid interfacial areas in three-phase fixed bed reactors. Chem. Eng. Process. 1997, 36, 497.
51. Mahajani, V. V.; Sharma, M. M. Mass transfer in packed columns: Cocurrent (downflow) operation: 1 in. and 1.5 in. metal pall rings and ceramic Intalox saddles: Multi-filament gauze packings in 20 cm and 38 cm I.D. columns. Chem. Eng. Sci. 1980, 35, 941.
52. Midoux, N.; Wild, G.; Purwasasmita, M.; Laurent, A.; Charpentier, J. C.; Martin, H. Zum Flüssigkeitsinhalt und zum Wärmeübergang in Rieselbettreaktoren bei hoher Wechselwirkung des Gases und der Flüssigkeit. Chem. Ing. Tech. 1986, MS 1445, 142.
53. Mitchell, M, G.; Perona, J. J. Gas-liquid interfacial areas for high porosity tower packings in concurrent downward flow. Ind. Eng. Chem. Process Des. Dev. 1979, 18, 316.
54. Morsi, B. I.; Midoux, N.; Laurent, A.; Charpentier, J. C. Hydrodynamique et aire interfaciale des écoulements gaz-liquide à co-courant vers le bas en lit fixe. Influence de la nature du liquide. Entropie 1980, 16, 38.
55. Morsi, B. I.; Laurent, A.; Midoux, N.; Charpentier, J. C. Interfacial area in trickle bed reactors: Comparison between ionic and organic liquids and between Raschig rings and small diameter particles. Chem. Eng. Sci. 1980, 35, 1467.
56. Morsi, B. I.; Midoux, N.; Laurent, A.; Charpentier, J. C. Hydrodynamics and interfacial areas in downward cocurrent gas-liquid flow through fixed beds. Influence of the nature of the liquid. Int. Chem. Eng. 1982, 22, 142.
57. Nagel, O.; Kürten, H.; Sinn, R. Stoffaustauschfläche und energiedissipationsdichte als auswahlkriterien für gas/flüssigkeits-reaktoren. Chem. Ing. Tech. 1972, 44, 367.
58. Patil, V. K.; Sharma, M. M. Packed tube columns: Hydrodynamics and effective interfacial area: Pall rings and multifilament wire gauge packings. Can. J. Chem, Eng. 1981, 59, 606.
59. Shiying, G.; Yunsheng, C.; Pangsheng, L. Study of gasphase mass transfer coefficients in trickle beds with small particles. J. East China Inst. Chem. Technol. 1989, 15, 565.
60. Ratnam, V. G. S.; Varma, Y. B. G. Effective interfacial area in gas-liquid cocurrent downflow through packed beds. Bioprocess Eng. 1991, 7, 29.
61. Ratnam, V. G. S.; Narasaiah, V. D.; Varma, Y. B. G. A correlation for interfacial area in cocurrent gas-liquid downflow through packed beds. Bioprocess Eng. 1994, 10, 53.
62. Versteeg, G. F. Mass Transfer and Chemical Reaction Kinetics in Acid Gas Treating Processes. Ph.D. Thesis, Twente University, Enschede, The Netherlands, 1987.
63. 2S in aqueous alkanolamine solutions using a fixed-bed reactor with cocurrent downflow operation in the pulsing flow regime. Chem. Eng. Process. 1988, 24, 163.
64. Vivarié, A. Etude de L'hydrodynamique et des Aires Interfaciales Gaz-Liquide Associées à Des Écoulements Diphasés à Cocourant Vers le Bas Dans un Réacteur Pilote à Garnissage. Comparaison Avec Les Résultats de la Littérature Obtenus à L'aide de Travaux Avec des Colonnes de Laboratoire. CNAM Thesis, Conservatoire National des Arts et Métiers de Paris, Nancy, France, 1981.
65. Wammes, W. J. A. Hydrodynamics in a cocurrent gas-liquid trickle-bed reactor at elevated pressures. Ph.D. Thesis, Twente University, Enschede, The Netherlands, 1990.
66. Wammes, W. J. A.; Middelkamp, J.; Huisman, W. J.; de Baas, C. M.; Westerterp, K. R. Hydrodynamics in a cocurrent gas-liquid trickle bed at elevated pressures, Part 1: Gas-liquid interfacial areas, Part 2: Liquid holdup, pressure drop, flow regimes. AIChE J. 1991, 37, 1849.
67. Barthole, G. Apport de l'électrochimie à l'étude des réacteurs gaz-liquide-solide à lit fixe: Hydrodynamique et transfert de matière liquide-solide. Application à l'électro-synthèse. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1983.
68. Barthole-Delaunay, C.; Storck, A.; Laurent, A.; Charpentier, J. C. Détermination électrochimique du transfert de matière liquid-solide dans un réacteur gas-liquide à lit fixe arrosé fonctionnant à co-courant vers le bas. Entropie 1980, 93, 30.
69. Barthole-Delaunay, C.; Storck, A.; Laurent, A.; Charpentier, J. C. Electrochemical determination of liquid-solid mass transfer in a fixed-bed irrigated gas-liquid reactor with downward cocurrent flow. Int. Chem. Eng. 1982, 22, 244.
70. Boelhouwer, J. G. Nonsteady Operation of Trickle Bed Reactors: Hydrodynamics, Mass and Heat Transfer. Ph.D. Thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands, 2001.
71. Chou, T. S.; Worley, F. L.; Luss, D. Local particle-liquid-phase mass transfer fluctuations in mixed-phase cocurrent downflow through a fixed bed in the pulsing regime. Ind. Eng. Chem, Fundam. 1979, 18, 279.
72. Gabitto, J. F,; Lemcoff, N. O. Local solid-liquid mass transfer coefficients in a trickle-bed reactor. Chem. Eng. J. 1987, 35, 69.
73. Gonzalez-Mendizabal, D.; Aguilera, M. E.; Pironti, F. Solid-liquid mass transfer and wetting factors in trickle bed reactors: Effect of the type of solid phase and the presence of chemical reaction. Chem. Eng. Commun. 1998, 169, 37.
74. Herskowitz, M.; Abuelhaiza, M. Liquid-solid mass transfer in a trickle-bed reactor measured by means of a catalytic reaction. Chem. Eng. Sci. 1985, 40, 631.
75. Highfill, S. W. Liquid-solid mass transfer coefficient in high-pressure trickle-bed Reactor. Master's Thesis, Washington University, St. Louis, MO, 1998.
76. Highfill, W.; Al-Dahhan, M, Liquid-solid mass transfer coefficient in high-pressure trickle bed reactors. Trans. Inst. Chem. Eng, 2001, 79, 631.
77. Hirose, T.; Mori, Y.; Sato, Y. Liquid-to-particle mass transfer in fixed bed reactor with cocurrent gas-liquid downflow. J. Chem. Eng. Jpn. 1976, 9, 220.
78. Lakota, A.; Levec, J. Solid-liquid mass transfer in packed beds with cocurrent downward two-phase flow. AIChE J. 1990, 36, 1444.
79. Latifi, A. Analyse Globale et Locale des Phénomènes de Transfert de Matière Liquide-solide Dans un Réacteur à Lit Fixe Fonctionnant à Co-courant Vers le bas de Gaz et de Liquide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1988.
80. Latifi, M. A.; Laurent, A.; Storck, A. Liquid-solid mass transfer in a packed bed with downward cocurrent gas-liquid flow: An organic liquid phase with high Schmidt number. Chem. Eng. J. 1988, 38, 47.
81. Lemay, Y.; Pineault, G.; Ruether, A. Particle-liquid mass transfer in a three-phase fixed bed reactor with cocurrent flow in the pulsing regime. Ind. Eng. Chem. Process Des. Dev. 1975, 14, 280.
82. Leung, P. C.; Recasens, F.; Smith, J. M. Hydration of isobutene in a trickle bed reactor: Wetting efficiency and mass transfer. AIChE J. 1987, 33, 996.
83. Rao, V. G.; Drinkenburg, A. A. H. Solid-liquid mass transfer in packed beds with cocurrent gas-liquid downflow. AIChE J. 1985, 31, 1059.
84. Ruether, J. A.; Ching-Shi, Y.; Hayduk, W. Particle mass transfer during cocurrent downward gas-liquid flow in packed beds. Ind. Eng. Chem. Process Des. Dev. 1980, 19, 103.
85. Satterfield, C. N.; van Eek, N. W.; Bliss, G. S. Liquid-solid mass transfer in packed beds with downward concurrent gas-liquid flow. AIChE J. 1978, 24, 709.
86. Sims, B. W.; Schulz, F. G.; Luss, D. Solid-liquid mass transfer to hollow pellets in a trickle bed. Ind. Eng. Chem. Res. 1993, 32, 1895.
87. Specchia, V.; Baldi, G.; Gianetto, A. Solid-liquid mass transfer in concurrent two-phase flow through packed beds. Ind. Eng. Chem. Process Des. Dev. 1978, 17, 362.
88. Tan, C. S.; Smith, J. M. A dynamic method for liquid-particle mass transfer in trickle beds. AIChE J. 1982, 28, 190.
89. Yoshikawa, M.; Iwai, K.; Goto, S.; Teshima, H. Liquid-solid mass transfer in gas-liquid cocurrent flow through beds of small packings. J. Chem. Eng. Jpn. 1981, 14, 444.
90. Gabitto, J. F.; Lemcoff, N. O. Wall mass transfer coefficient in a trickle bed reactor. Chem. Eng. J. 1985, 30, 23.
91. Naderifar, A. Étude Expérimentale Locale et Globale du Transfer Matière Liquide/Solide à la Paroi d'un Réacteur à Lit Fixe. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1995.
92. Latifi, M. A.; Naderifar, A.; Midoux, N. Experimental investigation of the liquid-solid mass transfer at the wall of a trickle-bed reactor - Influence of Schmidt number. Chem. Eng. Sci. 1997, 52, 4005.
93. Latifi, M. A.; Naderifar, A.; Midoux, N. Energetic Analysis of the liquid-to-wall mass transfer in a trickle bed reactor. Trans. Inst. Chem. Eng. 1999, 77, 69.
94. Rode, S. Analyse Spatio-temporelle des Phénomènes Hydrodynamiques et de Transfert de Matière au sein d'un Réacteur à lit Fixe Opérant en Écoulement Monophasique de Liquide ou en Cocourant Vers le Bas de Gas et de Liquide; Mise en œuvre de la Technique des Microsondes Électrochimiques. Ph.D, Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1992.
95. Rode, S.; Midoux, N.; Latifi, M. A. A. Storck, Hydrodynamics and liquid-solid mass transfer mechanisms in packed beds operating in cocurrent gas-liquid downflow: An experimental study using electrochemical shear rate sensors. Chem. Eng. Sci. 1994, 49, 1383.
96. Rode, S.; Midoux, N.; Latifi, M. A.; Storck, A. Multiple hydrodynamic states in trickle beds operating in high-interaction regimes: Liquid saturation and flow regime transitions. Chem. Eng. Sci. 1994, 49, 2535.
97. Lara-Marquez, A. Les Réacteurs à Lit Fixe à Co-courrant Vers le Haut de Gaz et de Liquide. Étude du Transfert de Matière Gaz -Liquide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1992.
98. Saada, M. Y. Assessment of interfacial area in co-current two-phase flow in packed beds. Chim. Ind., Génie Chim. 1972, 105, 1415.
99. Fukushima, S.; Kusaka, K. Gas-Liquid mass transfer and hydrodynamic flow region in packed columns with cocurrent upward flow. J. Chem. Eng. Jpn. 1979, 12, 296.
100. Specchia, V.; Sicardi, S.; Gianetto, A. Absorption in packed towers with concurrent upward flow. AIChE J. 1974, 20, 646.
101. Ohshima, S.; Takematsu, T.; Kuriki, Y.; Shimada, K.; Suzuki, M.; Kato, J. Liquid-phase mass transfer coefficient and gas holdup in a packed-bed cocurrent up-flow column. J. Chem. Eng. Jpn. 1976, 9, 29.
102. Molga, E. J.; Westerterp, K. R. Gas-liquid interfacial area and holdup in a cocurrent upflow packed bed bubble column reactor at elevated pressures. Ind. Eng. Chem. Res. 1997, 36, 622.
103. Voyer, R. D.; Miller, A. I. Improved gas-liquid contacting co-current flow. Can. J. Chem. Eng. 1968, 46, 335.
104. Lara-Marquez, A.; Wild, G.; Laurent, A.; Midoux, N. Coefficient de transfert de matière gaz-liquide dans un réacteur catalytique à lit fixe fonctionnant à co-courant vers le haut de gaz et de liquide en présence de systèmes coalescents ou inhibiteurs de coalescence et/ou visqueux. In Récents Progrès Génie Procédés; Jallut, C., Ed.; Lavoisier, Techniques et Documentation: Paris, 1993; Vol. 30, pp 67-72.
105. Lara-Marquez, A.; Wild, G.; Midoux, N. A review of recent chemical techniques for the determination of the volumetric mass-transfer coefficient kLa in gas-liquid reactors. Chem. Eng. Process. 1994, 33, 247.
106. Goto, S.; Saikawa, K.; Gaspillo, P. D. Mass transfer and holdup in gas-liquid cocurrent flow packed beds containing water repellent particles. Can. J. Chem. Eng. 1991, 69, 1344.
107. Syaiful, S. Réacteurs Polyphasiques à Cocourant Ascendant: Influence de la Viscosité sur les Rétentions, Dispersions Axiales et Tranfert Gaz-Liquide. Ph.D. Thesis, Institut National Polytechnique de Toulouse, Toulouse, France, 1992.
108. Syaiful, S.; Wilhelm, A. M.; Svensen, H. F.; Delmas, H. Upward cocourrent gas-liquid-(solid) contactors: Holdup, axial dispersions, gas-liquid mass transfer. Trans. Inst. Chem. Eng. 1995, 73, 643.
109. Stüber, F. Sélectivité en Réacteur Catalytique Triphasique: Analyse Expérimentale et Théorique D'hydrogénations Consécutives en Lit Fixe Catalytique à Co-courant Ascendant De gaz et de Liquide. Ph.D. Thesis, Institut National Polytechnique de Toulouse, Toulouse, France, 1995.
110. Stüber, F.; Wilhelm, A. M.; Delmas, H. Modeling of three-phase catalytic upflow reactor: A significant chemical determination of liquid-solid and gas-liquid mass transfer coefficients. Chem. Eng. Sci. 1996, 51, 2161.
111. Storck, A.; Latifi, M. A.; Barthole-Delaunay, G.; Laurent, A.; Charpentier, J.-C. Electrochemical study of liquid-solid mass transfer in packed bed electrodes with upward and downward cocurrent gas-liquid flow. J. Appl. Electrochem. 1986, 16, 947.
112. Delauney, G.; Storck, A.; Laurent, A.; Charpentier, J. C. Electrochemical study of liquid-solid mass transfer in packed beds with upward cocurrent gas-liquid flow. Ind. Eng. Chem. Process Des. Dev. 1980, 19, 514.
113. Colquhoun-Lee, I.; Stepanek, J. B. Solid-liquid mass transfer in two phase co-current upward flow in packed beds. Trans. Inst. Chem. Eng. 1978, 56, 136.
114. Kirillov, V. A.; Nasamanyan, M. A. Mass transfer processes between liquid and packing in a three-phase fixed bed. Int. Chem. Eng. 1976, 16, 538.
115. Mochizuki, S.; Matsui, T. Liquid-solid mass transfer in liquid-gas upward cocurrent flow packed beds. Chem. Eng. Sci. 1974, 29, 1328.
116. Nikov, I.; Delmas, H. Solid-liquid mass transfer in three-phase fixed and fluidized beds. Chem. Eng. Sci. 1987, 42, 1089.
117. Yasunishi, A.; Fukuma, M.; Muroyama, K. Wall-to-liquid mass transfer in packed and fluidized beds with gas-liquid concurrent upflow. J. Chem. Eng. Jpn. 1988, 21, 522.
118. Crine, M. Heat transfer phenomena in trickle-bed reactors. Chem. Eng. Commun. 1982, 19, 99.
119. Colli-Serrano, M. T. Hydrodynamique et Transfert de Chaleur Dans un Réacteur à Lit Fixe Gaz-Liquide-Solide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1993.
120. Specchia V.; Baldi, G. Heat transfer in trickle-bed reactors. Chem. Eng. Commun. 1979, 3, 483.
121. Matsuura, A.; Hitaka, Y.; Akehata, T.; Shirai, T. Effective radial thermal conductivity in packed beds with downward cocurrent gas-liquid flow. Heat Transfer-Jpn. Res. 1979, 8, 44.
122. Hashimoto, K.; Muroyama, K.; Fujiyoshi, K.; Nagata, S. Effective radial thermal conductivity in cocurrent flow of a gas and liquid through a packed bed. Int. Chem. Eng. 1976, 16, 720.
123. Hashimoto, K.; Muroyama, K.; Fujiyoshi, K.; Nagata, S. Radial effective thermal conductivity in gas-liquid cocurrent flow through packed beds. Heat Transfer-Jpn. Res. 1977, 6, 44.
124. Lamine, A. S.; Gerth, L.; Le Gall, H.; Wild, G. Heat transfer in a packed bed reactor with cocurrent downflow of a gas and a liquid. Chem. Eng. Sci. 1996, 51, 3813.
125. Nakamura, M.; Tanahashi, T.; Takada, D.; Ohsasa, K.; Sugiyama, S. Heat transfer in a packed bed with gas-liquid cocurrent upflow. Heat Transfer-Jpn. Res. 1981, 10, 92.
126. Weekman, V. W. Heat Transfer and Fluid Flow for Concurrent, Gas-Liquid Flow in Packed Beds. Ph.D. Thesis, Purdue University, West Lafayette, IN, 1963.
127. Weekman, V. W.; Myers, J. E. Heat transfer characteristics of concurrent gas-liquid flow in packed beds. AIChE J. 1965, 11, 13.
128. Matsuura, A.; Hitaka, Y.; Akehata, T.; Shirai, T. Apparent wall heat transfer coefficient in packed beds with downward cocurrent gas-liquid flow. Heat Transfer-Jpn. Res. 1979, 8, 53.
129. Muroyama, K.; Hashimoto, K.; Tomita, T. Heat transfer from the wall in gas-liquid cocurrent packed beds. Heat Transfer-Jpn. Res. 1978, 7, 87.
130. Marcandelli, C. Hydrodynamique, Transfert de Chaleur Particule-fluide et Distribution des Phases Dans les Réacteurs à Lit Fixe à Écoulement Descendant de Gaz et de Liquide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1999.
131. Marcandelli, C.; Wild, G.; Lamine, A. S.; Bernard, J. R. Measurement of local particle-fluid heat transfer coefficient in trickle-bed reactors. Chem. Eng. Sci. 1999, 54, 4997.
132. Boelhouwer, J. G.; Piepers, H. W.; Drinkenburg, A. A. Particle-liquid heat transfer in trickle bed reactors. Chem. Eng. Sci. 2001, 56, 1181.
133. Gutsche, S. Transfert de Chaleur Dans un Réacteur à Lit Fixe à Co-courant Ascendant de Gaz et de Liquide. Ph.D. Thesis, Institut National Polytechnique de Lorraine, Nancy, France, 1990.
134. Lamine, A. S.; Colli-Serrano, M. T.; Wild, G. Hydrodynamics and heat transfer in packed beds with liquid upflow. Chem. Eng. Process. 1992, 31, 385.
135. Lamine, A. S.; Colli-Serano, M. T.; Wild, G. Influence of viscosity and foaming properties on heat transfer in packed bed with cocurrent upflow of gas and liquid. Trans. Inst. Chem. Eng. 1995, 73, 280.
136. Lamine, A. S.; Colli-Serano, M. T.; Wild, G. Heat transfer in a packed bed with gas-liquid cocurrent upflow. Chem. Eng. Sci. 1992, 47, 3493.
137. Colli-Serano, M. T.; Midoux, N. Hydrodynamics and heat transfer in packed beds with cocurrent upflow for coalescing and noncoalescing liquids. A simple model. Chem. Eng. Sci. 2000, 55, 4149.
138. Iliuta, I.; Larachi, F.; Grandjean, B. P. A.; Wild, G. Gas-liquid interfacial mass transfer in trickle-bed reactors: State-of-the-art correlations. Chem. Eng. Sci. 1999, 54, 5633.
139. Bensetiti, Z.; Larachi, F.; Grandjean, B. P. A.; Wild, G. Liquid saturation in cocurrent upflow fixed-bed reactors: A state-of-the-art correlation. Chem. Eng. Sci. 1997, 52, 4239.
140. Larachi, F.; Bensetiti, Z.; Grandjean, B. P. A.; Wild, G. Two-phase frictional pressure drop in flooded-bed reactors: A state-of-the-art correlation. Chem. Eng. Technol. 1998, 21, 887.
141. Cloutier, P.; Tibirna, C.; Grandjean, B. P. A.; Thibault, J. Nnfit, Logiciel de Régression Utilisant les Réseaux à Couches. http://www.gch.ulaval.ca/-nnfit, 1996.
142. Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P. Numerical recipes in Fortran. The Art of Scientific Computing, 2nd Ed.; Cambridge University Press: Cambridge, MA, 1992.
143. Wild, G.; Larachi, F.; Charpentier, J. C. Heat and mass transfer in gas-liquid-solid fixed bed reactors. In Heat and mass transfer in porous media; Quintard, M., Todorovic, M., Eds.; Elsevier: Amsterdam, The Netherlands, 1987; p 616.
144. Reiss, L. P. Cocurrent gas-liquid contacting in packed columns. Ind. Eng. Chem. Process Des. Dev. 1967, 6, 486.
145. Takahashi, K. M.; Alkire, R. C. Mass transfer from dispersed bubbles to electrolyte solutions in packed beds. AIChE J. 1988, 34, 1504.
146. Turpin, J. L.; Huntington, R. L. Prediction of pressure drop for two phase, two-components concurrent flow in packed beds. AIChE J. 1967, 13, 1196.
147. Dharwadkar, A.; Sylvester, N. D. Liquid-solid mass transfer in trickle beds, AIChE J. 1977, 23, 376.
148. Burghardt, A.; Bartelmus, G. Hydrodynamics and mass transfer in three-phase cocurrent reactors. Chem. Eng. Sci. 1996, 51, 2733.
149. Kikuchi K.-I.; Sugawara, T.; Ohashi, H. Correlation of liquid-side mass transfer coefficient based on the new concept of specific power group. Chem. Eng. Sci. 1988, 43, 2533.
150. Jadhav, S. V.; Pangarkar, V. G. Solid-Liquid mass transfer in packed bubble columns. Chem. Eng. Sci. 1990, 45, 1139.
151. Sokolov, V. N.; Yablokova, M. Thermal conductivity of a stationary granular bed with upward gas-liquid flow. J. Appl. Chem. USSR 1983, 56, 551.
152. Chu, C. F.; Ng, K. M. Effective thermal conductivity in trickle-bed reactors: Application of effective medium and random walk analysis. Chem. Eng. Commun. 1985, 37, 127.
153. Bartelmus, G. Local solid-liquid mass transfer coefficients in a three-phase fixed bed reactor. Chem. Eng. Process. 1989, 26, 111.
154. Grosser, K.; Carbonell, R. G.; Cavero, A.; Saez, A. E. Lateral thermal dispersion in gas-liquid cocurrent downflow through packed beds. AIChE J. 1996, 42, 2977.
155. Coppola, L.; Cavatorta, O. N.; Bohm, U. Mass transfer to volumetric electrodes with two phase flow. J. Appl. Electrochem. 1989, 19, 100.
156. Mochizuki, S. Mass transport phenomena and hydrodynamics in packed beds with gas-liquid concurrent upflow. AIChE J. 1978, 24, 1138.
157. L'Air Liquide, Encyclopédie des Gaz; Elsevier: Amsterdam, The Netherlands, 1976.
158. Reid, R. C.; Prausnitz, J. M.; Poling, B. E. The Properties of Gases and Liquids, 4th Ed.; McGraw-Hill: New York, 1987.
159. International Critical Tables of Numerical Data, Physics, Chemistry and Technology; McGraw-Hill Book Co.: New York, 1929; Vol. V.
160. Lide, D. R. Handbook of Chemistry and Physics, 73rd Ed.; 1993.
161. Mariani, N. J.; Martinez, O. M.; Barreto, G. F. Evaluation of heat transfer parameters in packed beds with cocurrent downflow of liquid and gas. Chem. Eng. Sci. 2001, 56, 5995.