Mixing in curved tubes

Chemical Engineering Science

Volumn 61, Issue 17, 2006, Pages 5742-5753

  Kumar, Vimal ^a   Aggarwal, Mohit ^a   Nigam, K D P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Computational fluid dynamics; Helical tube; Scalar mixing; Straight tube

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONCENTRATION (PROCESS); DIFFUSION; LAMINAR FLOW; REYNOLDS NUMBER;

HELICAL TUBE; SCALAR MIXING; SCHMIDT NUMBER; STRAIGHT TUBE;

MIXING;

COMPUTATIONAL FLUID DYNAMICS; CONCENTRATION (PROCESS); DIFFUSION; LAMINAR FLOW; MIXING; REYNOLDS NUMBER;

EID: 33745749049     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2006.04.040     Document Type: Article

References (60)

1. Bakker, A., LaRoche, R.D., Marshall, E.M., 1998. Laminar flow in static mixers with helical elements. The Online CFM book, at http://www.bakker.org/cfm.
2. Berger S.A., Talbot L., and Yao L.S. Flow in curved pipes. Annual Review of Fluid Mechanics 15 (1983) 461
3. Bessoth F.G., de Mello A.J., and Manz A. Microstructure for efficient continuous flow mixing. Analytical Communications 36 (1999) 213-215
4. Boussinesq J. Sur la maniere don't les vitesses, dans un tube cylindrique de section circulaire, evase a son entrée, se distribuent depuis entrée jusqu'aux endroits ou se trouve etabli un regime uniforme. Comptes Rendus 113 (1891) 49-51
5. Branebjerg, J., Larsen, U.D., Blankenstein, G., 1996. Fast mixing by parallel multilayer lamination. In: Proceedings of the Second International Symposium on Miniaturized Total Analysis Systems; Analytical Methods & Instrumentation, Special Issue μTAS'96, Basel, pp. 228-230.
6. Byrde O., and Sawley M.L. Parallel computation and analysis of the flow in a static mixer. Computers & Fluids 28 1 (1999) 1-18
7. Dean W.R. Notes on the motion of fluid in a curved pipe. Philosophical Magazine 4 (1927) 208-233
8. Dean W.R. The stream line motion of fluid in a curved pipe. Philosophical Magazine 5 (1928) 673-695
9. Deshmukh, A.A., Liepman, D., Pisano, A.P., 2000. Continuous micromixer with pulsatile micropumps. In: Proceedings of Solid-State Sensor & Actuator Workshop. Hilton Head, SC, June 4-8.
10. Drese K. Optimization of interdigital micromixers via analytical modeling-exemplified with the SuperFocus mixer. Chemical Engineering Journal 101 1-3 (2003) 403-407
11. Duchene Ch., Peerhossaini H., and Michard P.J. On the velocity field and tracer patterns in a twisted duct flow. Physics of Fluids 7 (1995) 1307-1317
12. Durst F., Ray S., Unsal B., and Bayoumi O.A. The development lengths of laminar pipe and channel flows. Transactions of the ASME 127 (2005) 1154-1160
13. Ehlers St., Elgeti K., Menzel T., and Wießmeier G. Mixing in the offstream of a microchannel system. Chemical Engineering and Processing 39 (2000) 291-298
14. Ehrfeld W., Golbig K., Hessel V., Lowe H., and Richter T. Characterization of mixing in micromixers by a test reaction: single mixing units and mixer arrays. Industrial and Engineering Chemistry Research 38 (1999) 1075-1082
15. Evans, J., Liepmann, D., Pisano, A.P., 1997. Planar laminar mixer. In: Proceedings of the IEEE Tenth Annual Workshop of MEMS Workshop, Nagoya, Japan, pp. 96-101.
16. Floyd T.M., Losey M.W., Firebaugh S.L., Jensen K.F., and Schmidt M.A. Novel liquid phase microreactors for safe production of hazardous speciality chemicals. In: Ehrfeld W. (Ed). Microreaction Technology: Industrial Prospects (2000), Springer, Berlin 171-180
17. Fourcade E., Wadley R., Hoefsloot C.J., Green A., and Iedema P.D. CFD calculation of laminar striation thinning in static mixer reactors. Chemical Engineering Science 56 23 (2001) 6729-6741
18. Glasgow I., and Aubry N. Enhancement of microfluidic mixing using time pulsing. Lab on a Chip 3 (2003) 114-120
19. Hardt S., and Schönfeld F. Laminar mixing in different interdigital micromixers-Part 2: numerical simulations. A.I.Ch.E. Journal 49 3 (2003) 578-584
20. Hessel V., Hardt S., Löwe H., and Schönfeld F. Laminar mixing in different interdigital micromixers-Part I: experimental characterization. A.I.Ch.E. Journal 49 3 (2003) 566-577
21. Hong C.-C., Choi J.-W., and Ahn C.H. A novel in-plane passive micromixer using coanda effect. In: Ramsey J.M., and van den Berg A. (Eds). Micro Total Analysis Systems (2001), Kluwer Academic Publishers, Dordrecht 31-33
22. Jen C.-P., Wu C.-Y., Lin Y.-C., and Wu C.-Y. Design and simulation of the micromixer with chaotic advection in twisted microchannels. Lab on a Chip 3 (2003) 77-81
23. Jiang F., Drese K.S., Hardt S., Kui{dotless}̈pper M., and Schönfeld F. Helical flows and chaotic mixing in curved micro channels. A.I.Ch.E. Journal 50 (2004) 2297-2305
24. Jones S.W., Thomas O.M., and Aref H. Chaotic advection by laminar flow in twisted pipe. Journal of Fluid Mechanics 209 (1989) 335-357
25. Kumar V., and Nigam K.D.P. Numerical simulation of steady flow fields in coiled flow inverter. International Journal of Heat Mass Transfar 48 (2005) 4811-4828
26. Lee, Y.-K., Deval, J., Tabeling, P., Ho, C.-M., 2001. Chaotic mixing in electrokinetically and pressure driven micro flows. In: Microreaction Technology, IMRET 5: Proceedings of the Fifth International Conference on Microreaction Technology. Springer, Berlin, pp. 185-191.
27. Liu R.H., Stremler M.A., Sharp K.V., Olsen M.G., Santiago J.G., Adrian R.J., Aref H., and Beebe D.J. Passive mixing in a three-dimensional serpentine microchannel. JMEMS 9 (2000) 190
28. Liu, R.H., Ward, M., Bonanno, J., Ganser, D., Athavale, M., Grodzinski, P., 2001. Plastic in-line chaotic micromixer for biological applications. In: Proceedings of the mTAS 2001 Symposium. California, USA, pp. 163-164.
29. Liu R.H., Jianing Y.J., Pindera M.Z., Athavale M., and Grodzinski P. Bubble-induced acoustic micromixing. Lab on a Chip 2 (2002) 151-157
30. Liu R.H., Lenigk R., Druyor-Sanchez R.L., Yang J., and Grodzinski P. Hybridization enhancement using cavitation microstreaming. Analytical Chemistry 75 (2003) 1911-1917
31. Löb P., Drese K.S., Hessel V., Hardt S., Hofmann C., Löwe H., Schenk R., Schönfeld F., and Werner B. Steering of liquid mixing speed in interdigital micromixers-from very fast to deliberately slow mixing. Chemical Engineering and Technology 27 3 (2004) 340-345
32. Lu, L.-H., Ryu, K., Liu, C., 2001. A novel microstirrer and arrays for microfluidic mixing. Fifth International Conference on Miniaturized Chemical and Biochemical Analysis Systems, October 21-25, 2001.
33. Miyake, R., Lammerink, T.S.J., Elwenspoek, N., Fluitman, J.H.J., 1993. Micromixer with fast diffusion. In: IEEEMEMS' 93. Fort Lauderdale, USA, pp. 248-253.
34. Mori Y., and Nakayama W. Study on forced convective heat transfer in curved pipes. International Journal of Heat Mass Transfer I 8 (1965) 67-82
35. Muzzio F.J., and Hobbs D.M. Reynolds number effects on laminar mixing in the Kenics static mixer. Chemical Engineering Journal 70 (1998) 93-104
36. Muzzio F.J., and Szalai E.S. Fundamental approach to the design and optimization of static mixers. A.I.Ch.E. Journal 49 (2003) 2687-2699
37. Nandakumar K., and Masliyah J.H. Swirling flow and heat transfer in coiled and twisted pipes. In: Mujumdar A.S., and Masliyah R.A. (Eds). Advances in Transport Process vol. 4 (1986), Wiley, Eastern, New York
38. Niu X., and Lee Y. Efficient spatial-temporal chaotic mixing in microchannels. Journal of Micromechanics and Microengineering 13 (2003) 454
39. Oddy M.H., Santiago J.G., and Mikkelsen J.C. Electrokinetic instability micromixing. Analytical Chemistry 73 24 (2001) 5822-5832
40. Palk P., Pamula V.K., and Fair R.B. Rapid droplet mixers for digital microfluidic systems. Lab on a Chip 3 (2003) 253-259
41. Patankar S.V., Pratap V.S., and Spalding D.B. Prediction of laminar flow and heat transfer in helically coiled pipes. Journal of Fluid Mechanics 62 (1974) 539-551
42. Penth, B., 1999. Method and device for carrying out chemical and physical processes, WO 00/61275. Germany.
43. Qian S., and Bau H.H. A chaotic electro-osmotic stirrer. Analytical Chemistry 74 (2002) 3616-3625
44. Saxena A.K., and Nigam K.D.P. Coiled configuration for flow inversion and its effect on residence time distribution. A.I.Ch.E. Journal 30 (1984) 363-368
45. Schönfeld F., and Hardt S. Simulation of helical flows in microchannels. A.I.Ch.E. Journal 50 (2003) 2297-2305
46. Schönfeld F., Hessel V., and Hofmann C. An optimised split-andrecombine micro mixer with uniform chaotic mixing. Lab on a Chip 4 (2004) 65-69
47. Schwesinger N., Frank T., and Wurmus H. A modular microfluidic system with an integrated micromixer. Journal of Micromechanics and Microengineering 6 (1996) 99-102
48. Shah, R.K., Joshi, S. K., 1987. Convective heat transfer in curved ducts. In: Handbook of Single-Phase Convective Heat Transfer, pp. 5.3-5.47 and 3.1-3.147.
49. Solomon T.N., and Mezic I. Uniform resonant chaotic mixing in fluid flows. Nature 425 (2003) 376-380
50. Stroock A.D., Dertinger S.K.W., Ajdari A., Mezic I., Stone H.A., and Whitesides G.M. Chaotic mixer for microchannels. Science 295 (2002) 647
51. Stroock A.D., Dertinger S.K.W., Ajdari A., Mezic I., Stone H.A., and Whitesides G.M. Patterning flows using grooved surfaces. Analytical Chemistry 74 20 (2002) 5306-5312
52. Vanka S.P., Luo G., and Winkler C.M. Numerical study of scalar mixing in curved channels at low reynolds numbers. A.I.Ch.E. Journal 50 (2004) 2359-2368
53. Voldman J., Gray M.L., and Schmidt M.A. Liquid mixing studies with an integrated mixer/valve. In: Harrison J., and van den Berg A. (Eds). Micro Total Analysis Systems (1998), Kluwer Academic Publishers, Dordrecht 181-184
54. Volpert, M., Meinhart, C.D., Mezic, I., Dahleh, M., 1999. An actively controlled micromixer. In: Proceedings of MEMS, ASME, IMECE Conference, Nashville, TN, pp. 483-487.
55. Werner, B., Koch, M., Wehle, D., Scherer, S., Forstinger, K., Meudt, A., Hessel, V., Loewe, H., 2002. Specially suited micromixers for process involving strong fouling. In: Sixth International Conference on Microreaction Technology, IMRET 6, New Orleans, USA. A.I.Ch.E. Publications No. 164, pp. 168-183.
56. West J., Boris Karamata B., Lillis B., Gleeson J.P., Alderman J., Collins J.K., Lane W., Mathewson A., and Berney H. Application of magnetohydrodynamic actuation to continuous flow chemistry. Lab on a Chip 2 (2002) 224-230
57. Woias P., Hauser K., and Yacoub-George E. An active silicon micromixer for μTAS applications. In: van den Berg A., Olthuis W., and Bergveld P. (Eds). Micro Total Analysis Systems (2000), Kluwer Academic Publishers, Dordrecht 277-282
58. Yang Z., Matsumoto S., Goto H., Matsumoto M., and Maeda R. Ultrasonic micromixer formicrofluidic systems. Sensors and Actuators A 93 (2001) 266-272
59. Yi, M., Bau, H.H., 2000. The kinematics of bend-induced stirring by micro-conduits. Proceedings of MEMS, ASME, IMECE Conference, vol. 2, pp. 489-496.
60. Zech, T., Hönicke, D., Fichtner, M., Schubert, K., 2000. Superior performance of static micromixers. In: Fourth International Conference on Microreaction Technology, IMRET 4, Atlanta, USA. A.I.Ch.E. Topical Conference Proceedings, pp. 390-399.