Analysis of a Taylor-Poiseuille vortex flow reactor-I: Flow patterns and mass transfer characteristics

Chemical Engineering Science

Volumn 53, Issue 20, 1998, Pages 3635-3652

  Giordano, R C ^a   Giordano, R L C ^a   Prazeres, D M F ^b   Cooney, C L ^c  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

^b INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^c Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Dispersion; Flow patterns; Mixing characteristics; Residence time distribution; Taylor Poiseuille flow; Vortex flow reactor

Indexed keywords

FLOW PATTERNS; FLOW VISUALIZATION; MASS TRANSFER; REYNOLDS NUMBER; VORTEX FLOW;

RESIDENCE TIME DISTRIBUTION; TAYLOR-POISEUILLE VORTEX FLOW REACTORS;

CHEMICAL REACTORS;

FLOW PATTERN; MASS TRANSFER; POISEUILLE FLOW; REACTOR; TAYLOR VORTEX; VORTEX DEVICE;

EID: 0032538649     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(98)00179-1     Document Type: Article

References (55)

1. Andereck, C. D., Liu, S. S. and Swinney, H. L. (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
2. Ashwin, P., Mann, G. W. and King, G. P. (1995) Azimuthally propagating ring vortices in a model for nonaxisymmetric Taylor vortex flow. Phys. Rev. Lett. 75, 4610-4613.
3. Barcilon, A., Brindley, J., Lessen, M. and Mobbs, F. R. (1979) Marginal instability in Taylor-Couette flows at a very high Taylor number. J. Fluid Mech. 94, 453-463.
4. Brenan, K.E., Campbell, S.L. and Petzold, L.R. (1989) Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. Elsevier, New York.
5. Büchel, P., Lücke, M., Roth, D. and Schmitz, R. (1996) Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow. Phys. Rev E 53, 4764-4777.
6. Campero, R. J. and Vigil, R. D. (1997) Axial dispersion during low Reynolds number Taylor-Couette flow: intra-vortex mixing effects. Chem. Engng Sci. 52, 3303-3310.
7. Chandrasekhar, S. (1961) Hydrodynamic and Hydromagnetic Stability. Clarendon Press, Oxford.
8. Chossat, P. and Iooss, G. (1992) The Couette-Taylor Problem. Springer, Berlin.
9. Cohen, S. and Maron, D. M. (1991) Analysis of a rotating annular reactor in the vortex flow regime. Chem. Engng Sci. 46, 123-134.
10. Coles, D. (1965) Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
11. Davey, A. (1962) The growth of Taylor vortices in flow between rotating cylinders. J. Fluid Mech. 14, 385-425.
12. Davey, A., Di Prima, R. C. and Stuart, J. T. (1968) On the instability of Taylor vortices. J. Fluid Mech. 31, 17-52.
13. Desmet, G., Verelst, H. and Baron, G. V. (1996a) Local and global dispersion effects in Couette-Taylor flow - I. Description and modeling of the dispersion effects. Chem. Engng Sci. 51, 1287-1298.
14. Desmet, G., Verelst, H. and Baron, G. V. (1996b) Local and global dispersion effects in Couette-Taylor Flow - II. Quantitative measurements and discussion of the reactor performance. Chem. Engng Sci. 51, 1299-1309.
15. Desmet, G., Verelst, H. and Baron, G. V. (1997a) Transient and stationary axial dispersion in vortex array flows - I. Axial scan measurements and modeling of transient dispersion effects. Chem. Engng Sci. 52, 2383-2401.
16. Desmet, G., Verelst, H. and Baron, G. V. (1997b) Transient and stationary axial dispersion in vortex array flows - II. Decoupling of inter- and intra-vortex transport phenomena. Chem. Engng Sci. 52, 2403-2419.
17. Di Prima, R. C. and Swinney, H. L. (1985) Instabilities and transition in flow between concentric rotating cylinders. In Hydrodynamic Instabilities and the Transition to Turbulence, 2nd ed., eds H. L. Swinney and J. P. Gollub, pp. 139-180, Springer, Berlin.
18. Esser, A. and Grossman, S. (1996) Analytic expression for Taylor-Couette stability boundary. Phys. Fluids 8, 1814-1818.
19. Gu, Z. H. and Fahidy, T. Z. (1985a) Visualization of flow patterns in axial flow between horizontal coaxial rotating cylinders. Can. J. Chem. Engng 63, 14-21.
20. Gu, Z. H. and Fahidy, T. Z. (1985b) Characteristics of Taylor vortex structure in combined axial and rotating flow. Can. J. Chem. Engng 63, 710-715.
21. Gu, Z. H. and Fahidy, T. Z. (1986) The effect of geometric parameters on the structure of combined axial and Taylor-vortex flow. Can. J. Chem. Engng 64, 185-189.
22. Haim, D. and Pismen, L. M. (1994) Performance of a photochemical reactor in the regime of Taylor-Görtler vortical flow. Chem. Engng Sci. 49, 1119-1129.
23. Kataoka, K. (1975) Heat-transfer in a Taylor vortex flow. J. Chem. Engng Japan 8, 271-276.
24. Kataoka, K., Doi, H., Komai, T. and Futagawa, M. (1975) Ideal plug flow properties of Taylor vortex flow. J. Chem. Engng Japan 8, 472-476.
25. Kataoka, K., Ohmura, N., Kouzu, M., Simamura, Y. and Okubo, M. (1995) Emulsion polymerization of styrene in a continuous Taylor vortex flow reactor. Chem. Engng Sci. 50, 1409-1416.
26. Kataoka, K. and Takigawa, T. (1981) Intermixing over cell boundary between Taylor vortices. A.I.Ch.E. J. 27, 504-508.
27. Koschmieder, E. L. (1979) Turbulent Taylor vortex flow. J. Fluid Mech. 93, 515-527.
28. Koschmieder, E. L. (1993) Bénard Cells and Taylor Vortices. Cambridge University Press, New York.
29. Lathrop, D. P., Fineberg, J. and Swinney, H. L. (1992) Turbulent flow between concentric rotating cylinders at large Reynolds number. Phys. Rev. Lett. 68, 1515-1518.
30. Legrand, J., Coeuret, F. and Billon, M. (1983) Struture Dynamique et Transfert de Matière Liquide-Paroi dans le Cas de l'Écoulement Laminaire Tourbillonnaire de Couette-Poiseuille. Int. J. Heat Mass Transfer 2, 1075-1085.
31. Legrand, J. and Coeuret, F. (1986) Circumferential mixing in one-phase and two-phase Taylor vortex flows. Chem. Engng Sci. 41, 47-53.
32. Legrand, J. and Coeuret, F. (1987) Transfert de Matière Liquide-Paroi et Hydrodynamique de l'Écoulement de Couette-Taylor-Poiseuille Biphasique. Can. J. Chem. Engng 65, 237-243.
33. Lueptow, R. M., Docter, A. and Min, K. (1992) Stability of axial flow in an annulus with a rotating inner cylinder. Phys. Fluids A 4, 2446-2455.
34. Lueptow, R. M. and Hajiloo, A. (1995) Flow in a rotating membrane plasma separator. A.S.A.I.O. J. 41, 182-188.
35. Marcus, P. S. (1984a) Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment. J. Fluid Mech. 146, 45-64.
36. Marcus, P. S. (1984b) Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one traveling wave. J. Fluid Mech. 146, 65-113.
37. Moore, C. M. V. and Cooney, C. L. (1995) Axial dispersion in Taylor-Couette flow. A.I.Ch.E. J. 41, 723-727.
38. Ng, B. S. and Turner, E. R. (1982) On the linear stability of spiral flow between rotating cylinders. Proc. Roy. Soc. London A 382, 83-102.
39. Ohmura, N., Kataoka, K., Shibata, Y. and Makino, T. (1997) Effective mass diffusion over cell boundaries in a Taylor-Couette flow system. Chem. Engng Sci. 52, 1757-1765.
40. Pudjiono, P. I., Tavare, N. S., Garside, J. and Nigam, K. D. P. (1992) Residence time distribution from a continuous couette flow device. Chem. Engng J. 48, 101-110.
41. Pudjiono, P. I. and Tavare, N. S. (1993) Residence time distribution analysis from a continuous Couette flow device around critical Taylor number. Can. J. Chem. Engng 71, 312-318.
42. Rayleigh, Lord (1916) On the dynamics of revolving fluids. Proc. Roy. Soc. London A 93, 148-154.
43. Recktenwald, A., Lücke, M. and Müller, H. W. (1993) Taylor vortex formation in axial through-flow: linear and weakly nonlinear analysis. Phys. Rev. E 48, 4444-4454.
44. Sczechowski, J. G, Koval, C. A. and Noble R. D. (1995) A Taylor vortex reactor for heterogeneous photocatalysis. Chem. Engng Sci. 50, 3163-3173.
45. Snyder, H. A. (1962) Experiments on the stability of spiral flow at low axial Reynolds numbers. Proc. Roy. Soc. London A 265, 198-214.
46. Stuart, J. T. (1958) On the non-linear mechanics of hydrodynamic stability. J. Fluid Mech. 4, 1-21.
47. Stuart, J. T. (1986) Taylor-vortex flow: a dynamical system. S.I.A.M. Rev. 28, 315-342.
48. Tagg, R. (1992) A guide to literature related to the Taylor-Couette problem, In Ordered and Turbulent Patterns in Taylor-Couette Flow, eds. C. D. Andereck and F. Hayot, p. 303. Plenum Press, New York.
49. Takeuchi, D. I. and Jankowski, D. F. (1981) A numerical and experimental investigation of the stability of spiral poiseuille flow. J. Fluid Mech. 102, 101-126.
50. Tam, W. Y. and Swinney, H. L. (1987) Mass transport in turbulent Couette-Taylor flow. Phys. Rev. A 36, 1374-1381.
51. Taylor, G. I. (1923) Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. A 223, 289-343.
52. Tsameret, A. and Steinberg, V. (1994a) Absolute and convective instabilities and noise-sustained structures in the Couette-Taylor system with an axial flow. Phys. Rev. E 49, 1291-1308.
53. Tsameret, A. and Steinberg, V. (1994b) Competing states in a Couette-Taylor system with an axial flow. Phys. Rev. E 49, 4077-4086.
54. Villadsen, J. V. and Michelsen, M. L. (1978) Solution of differential Equation Models by Polynomial Approximation. Prentice-Hall, Englewood Cliffs, NJ.
55. Wei, T., Kline, E. M., Lee, S. H.-K. and Woodruff, S. (1992) Görtler vortex formation at the inner cylinder in Taylor-Couette flow. J. Fluid Mech. 245, 47-68.