Bubbly flow through fixed beds: Microscale experiments in the dilute regime and modeling

AIChE Journal

Volumn 52, Issue 11, 2006, Pages 3722-3743

  Bordas, M L ^a   Cartellier, A ^a   Sechet, P ^a   Boyer, Ch ^b  

^a LEGI   (France)

^b IFP ENERGIES NOUVELLES   (France)

Author keywords

Bubbles size; Index matching; Modeling; Packed bed; Pressure drop; Two phase flow

Indexed keywords

BUBBLES (IN FLUIDS); CAPILLARY FLOW; FLUID DYNAMICS; MATHEMATICAL MODELS; PACKED BEDS; PRESSURE DROP;

BUBBLES SIZE; BUBBLY FLOWS; FLOW DYNAMICS; INDEX MATCHING;

TWO PHASE FLOW;

BUBBLES (IN FLUIDS); CAPILLARY FLOW; FLUID DYNAMICS; MATHEMATICAL MODELS; PACKED BEDS; PRESSURE DROP; TWO PHASE FLOW;

EID: 33750561897     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10980     Document Type: Article

References (45)

1. Attou A, Ferschneider G. A simple model for pressure drop and liquid holdup in packed bed bubble reactors. Chem Eng Sci. 1999;54:5139-5144.
2. De Santos JM, Melli TR, Sciven LE. Mechanics of gas-liquid flow in packed bed contactors. Ann Rev Fluid Mech. 1990;23:233-260.
3. Barrios E. Etude de l'hydrodynamique des réacteurs en lit fixe avec écoulement de gaz et de liquide en co-courant ascendant. Université Paris VI et ENSPM Paris, France; 1987, PhD thesis.
4. Turpin JL, Huntington RL. Prediction of pressure drop for two-phase, two-component concurrent flow in packed beds. AIChE J. 1967;13:1196-1202.
5. Saada MSY. Fluid mechanics of co-current two-phase flow in packed-beds: pressure drop and liquid hold-up studies. Per Poly Chem Eng. 1975;19:317-337.
6. Ford LH. Multiphase flow through porous media, with special reference to the turbulent regime. University of London, London, UK; 1960, PhD thesis.
7. Ergun S. Fluid flow through packed columns. Chem Eng Prog. 1952;48:89-98.
8. Benkrid K, Rode S, Midoux N. Prediction of pressure drop and liquid holdup in trickle-bed reactors operated in high interaction regimes. Chem Eng Sci. 1997;52:4021-4032.
9. Macdonald IF, El-Sayed MS, Dullien FAL. Flow through porous media - the ergun equation revisited. Ind Eng Chem Fund. 1979;18:199-207.
10. Hinze JO. The flow field in and around a droplet moving axially in a tube. AIChE J. 1955;1:289.
11. Ishh M. Thermo Fluid Dynamic Theory of Two-Phase Flow. Eyrolles, Paris; 1975.
12. Hetsroni G, Haber S, Wacholder E. The flow field in and around a droplet moving axially in a tube. J Fluid Mech. 1970;41:689-705.
13. Ishh M, Mishima K. Study of two-fluids model and interfacial area. Argone National Library Report ANL-80-111; 1980.
14. Olbricht WL. Pore-scale prototypes of multiphase flow in porous media. Ann Rev Fluid Mech. 1996;28:187-213.
15. Patel PD, Shaqfeh ESG, Butler JE, Cristini VC, Blawzdziewicz J, Loewenberberg M. Drop breakup in the flow through fixed fiber beds: an experimental and computational investigation. Phys Fluids. 2003;15:1146-1157.
16. Achard JL, Cartellier A. Laminar dispersed two-phase flows at low concentration, I: Generalised system of equations. Arch Mech. 2000;52:25-53.
17. Achard JL, Cartellier A. Laminar dispersed two-phase flows at low concentration. II: Disturbance equations. Arch Mech. 2000;52:275-302.
18. Drew DA. Mathematical modeling of two-phase flow. Ann Rev Fluid Mech. 1983;50:133-166.
19. Joseph DD, Lundgren TS. Ensemble average and mixture theory equations for incompressible fluid-particle suspensions. Int J Multiphase Flow. 1990;16:35-42.
20. Cartellier A, Rivière N. Bubble-induced agitation and microstructure in uniforme bubbly flows at small to moderate particle Reynolds number. Phys Fluids. 2001;13:2165-2181.
21. Achard JL, Cartellier A. Laminar dispersed two-phase flows at low concentration. III: Pseudo-turbulence. Arch Mech. 2001;53:123-150.
22. Cartellier A. Screening mechanisms and induced agitation in bubbly flows at finite particle Reynolds numbers: experiments and preliminary modeling attempts using an hybrid approach. Ercoftact Bull. 2003;56.
23. Crispel S. Modélisation statistique appliquée aux écoulements dispersés laminaires: mise en oeuvre et simulation. Institut National Polytechnique de Grenoble, Grenoble, France; 2002, PhD thesis.
24. Tölke J, Krafcsyk M, Shulz M, Rank E. Lattice Boltzmann simulations of binary fluid flow through porous media. Phil Trans R Soc Lond A. 2002;360:535-545.
25. Rivière N, Cartellier A. Wall shear stress and void fraction in poiseuille bubbly flows: Part I and II. Simple analytic predictions. Eur J of Mech B/Fluids. 1999;18:823-867.
26. Crispel S, Cartellier A, Role of the Microstructure on the Bubble-Induced Agitation: Recent Experiments and Simulations at Intermediate Particle Reynolds Numbers. Tsukuba, Japon; 2000.
27. Crispel S, Cartellier A, Simonin O, Achard IL. Laminar dispersed two-phase flow modeling applied to poiseuille bubbly flows. Aussois, France; 2000.
28. Legait B. Laminar flow of two phases through a capillary tube with variable square cross-section. J of Colloid and Interface Sci. 1983;96:28-38.
29. Taylor GI. Deposition of a viscous fluid on the wall of a tube. J Fluid Mech. 1960;10:161-165.
30. Nicklin DJ, Wilkes JO, Davidson JF. Two-phase flow in vertical tube. Trans Instn Chem Engrs. 1962;40:61-68.
31. Schwartz LW, Princen HM, Kiss AD. On the motion of bubbles in capillary tubes. J Fluid Mech. 1986;172:259.
32. Park CW, Maruvada SR, Yoon D. The influence of surfactant on the bubble motion in helle-shaw cells. Phys Fluids. 1994;10:3267-3275.
33. Ogawa K, Matsuka T, Hirai S, Okasaki K. Three-dimensional velocity measurement of complex Interstitial Flows through water-saturated porous media by tagging method in MRI technique. Measurement Sci and Technol. 2001;12:172-180.
34. Fairbrother F, Stubbs A. Studies in electroendosmosis. Part 6. The bubble-tube methods of measurement. J Chem Sci. 1987;1:527-529.
35. Taha T, Cui ZF. Hydodynamics of slug flow inside capillaries. Chem Eng Sc. 2004;59:1181-1190.
36. Colli Serano MT. Hydrodynamique et transfert de chaleur dans un réacteur à lit fixe Gaz-Liquide-Solide. Institut National Polytechnique de Lorraine, Nancy, France; 1993, PhD thesis.
37. Fabre J, Liné A. Modeling of two-phase slug flow. Annual Rev Fluid Mech. 1992;24:21-46.
38. Bretherton FP. The motion of long bubbles in tubes. J Fluid Mech. 1961;10:166-188.
39. Aussillous P, Quéré D. Quick deposition of a fluid on the wall of a tube. Phys Fluids. 2000;12:2367-2371.
40. Ratulowski J, Chang HC. Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries. J Fluid Mech. 1990;210:303-328.
41. Severino M, Giavedoni MD, Saita FA. A gas phase displacing a liquid with soluble surfactants out of a small conduit: the plane case. Phys Fluids. 2003;15:2961-2972.
42. Ratulowski J, Chang HC. Transport of gas bubbles in capillaries. Phys Fluids A. 1989;1:1642-1655.
43. Olbricht WL, Kung DM. The deformation and breakup of liquid drops in low Reynolds number flow through a capillary. Physics of Fluids A. 1992;4:1347-1354.
44. Cubaud T, Ho CM. Transport of bubbles in square microchannels. Phys Fluids. 2004;16:4575-4585.
45. Bordas ML. Caractérisation des Ecoulements a bulles en lits fixes: expériences et modélisation. Institut National Polytechnique de Grenoble/IFP-Solaize; 2002, PhD thesis.