Fully resolved numerical simulation of reactive mixing in a T-shaped micromixer using parabolized species equations

Chemical Engineering Science

Volumn 66, Issue 24, 2011, Pages 6424-6440

  Bothe, Dieter ^a   Lojewski, Alexander ^b   Warnecke, Hans Joachim ^c  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

^c UNIVERSITY OF PADERBORN   (Germany)

Author keywords

Local selectivity; Mathematical modeling; Numerical simulation; Reaction engineering; Reactive mixing; Transport processes

Indexed keywords

LOCAL SELECTIVITY; MATHEMATICAL MODELING; REACTION ENGINEERING; REACTIVE MIXING; TRANSPORT PROCESS;

AXIAL FLOW; CHEMICAL ANALYSIS; CHEMICAL REACTIONS; CHEMICAL REACTORS; COMPUTER SIMULATION;

MIXING;

EID: 80054884823     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.08.045     Document Type: Article

References (37)

1. Aref H. Stirring by chaotic advection. J. Fluid Mech. 1984, 143:1-21.
2. Baroud C.N., Okkels F., Ménétrier L., Tabeling P. Reaction-diffusion dynamics: confrontation between theory and experiment in a microfluidic reactor. Phys. Rev. E 2003, 67:060104. (R).
3. Bothe D. Microfluidic modules: calculations and simulations. Microchemical Engineering in Practice 2009, 165-184. Jon Wiley & sons. T. Dietrich (Ed.).
4. Bothe D. Evaluating the quality of a mixture: degree of homogeneity and scale of segregation. Micro and Macro Mixing-Analysis, Simulation and Numerical Calculation, Series: Heat and Mass Transfer 2010, 17-35. Springer, Berlin. H. Bockhorn, D. Mewes, W. Peukert, H.-J. Warnecke (Eds.).
5. Bothe D., Lojewski A., Warnecke H.-J. Computational analysis of an instantaneous chemical reaction in a T-microreactor. AIChE J. 2010, 56(6):1406-1415.
6. Bothe D., Stemich C., Warnecke H.-J. Fluid mixing in a T-shaped micro-mixer. Chem. Eng. Sci. 2006, 61:2950-2958.
7. Bothe D., Stemich C., Warnecke H.-J. Computation of scales and quality of mixing in a T-shaped microreactor. Comp. Chem. Eng. J. 2008, 32:108-114.
8. Dargan S.L., Parker I. Buffer kinetics shape the spatiotemporal patterns of IP3-evoked Ca2+ signals. J. Physiol. 2003, 553:775-788.
9. Dreher S., Kockmann N., Woias P. Characterization of laminar transient flow regimes and mixing in T-shaped micromixers. Heat Transfer Eng. 2009, 30:91-100.
10. Eberhard M., Erne P. Kinetics of calcium binding to fluo-3 determined by stopped-flow fluorescence. Biochem. Biophys. Res. Commun. 1989, 163:309-314.
11. Fletcher, C.A.J., 1989. Computational Techniques for Fluid Dynamics Part 2. Springer Series in Computational Physics.
12. Fournier M.-C., Falk L., Villermaux J. A new parallel competing reaction system for assessing micromixing efficiency-experimental approach. Chem. Eng. Sci. 1996, 51:5053-5064.
13. Guichardon P., Falk L., Villermaux J. Extension of a chemical method for the study of micromixing process in viscous media. Chem. Eng. Sci. 1997, 52:4649-4658.
14. Guo Z.Y., Li Z.X. Size effects on microscale single-phase flow and heat transfer. Int. J. Heat Mass Transfer 2003, 46:149-159.
15. Hardt S., Drese K.S., Hessel V., Schönfeld F. Passive micromixers for applications in the microreactor and μTAS fields. Microfluid Nanofluid 2005, 1:108-118.
16. Hellam D.C., Podolsky R.J. Force measurements in skinned muscle fibres. J. Physiol. 1969, 200:807-819.
17. Hessel V., Knobloch C., Löwe H. Review on patents in microreactor and micro process engineering. Recent Patents Chem. Eng. 2008, 1:1-16.
18. Hoffmann M., Schlüter M., Räbiger N. Experimental investigations of liquid-liquid mixing in T-shaped micro-mixers using μ-LIF and μ-PIV. Chem. Eng. Sci. 2006, 61:2968-2976.
19. Hoffmann M., Schlüter M., Räbiger N. Experimental analysis and modeling of micromixing in microreactors. Micro and Macro Mixing-Analysis, Simulation and Numerical Calculation Series: Heat and Mass Transfer 2010, 287-303. Springer, Berlin. H. Bockhorn, D. Mewes, W. Peukert, H.-J. Warnecke (Eds.).
20. Invitrogen detection technologies, 2005. Product Information. Long-Wavelength Calcium Indicators. Molecular Probes™.
21. Lee P.-S., Garimella S.V., Liu D. Investigations of heat transfer in rectangular microchannels. Int. J. Heat Mass Transfer 2005, 48:1688-1704.
22. Liu R.H., Stremler M.A., Sharp K.V., Olsen M.G., Santiago J.G., Adrian R.J., Aref H., Beebe D.J. Passive mixing in a three-dimensional serpentine microchannel. J. Microelectromech. Syst. 2000, 9:190-197.
23. Lojewski, A. 2010. Computergestützte Analyse des reaktiven Strömungsmischens in T-Mikroreaktoren. Doctoral dissertation, RWTH Aachen.
24. Mengeaud V., Josserand J., Girault H.H. Mixing processes in a zigzag microchannel: finite Element simulations and optical study. Anal. Chem. 2002, 74:4279-4286.
25. Muralidhar K., Biswas G. Advanced Engineering Fluid Mechanics 1996, Narosa Publ. House, London.
26. Mills P.L., Quiram D.J., Ryley J.F. Microreactor technology and process miniaturization for catalytic reactions-A perspective on recent developments and emerging technologies. Chem. Eng. Sci. 2007, 62:6992-7010.
27. Minta A, Kao J.P.Y., Tsien R.Y. Fluorescent indicators for cytosolic calcium based on rhodamine and fluorescein chromophores. J. Biol. Chem. 1989, 264:8171-8178.
28. Newman J.S. Electrochemical Systems 1991, Prentice-Hall. Inc., Upper Saddle River. 2nd edition.
29. Ottino J.M. Mixing and chemical reactions: a tutorial. Chem. Eng. Sci. 1994, 49:4005-4027.
30. Patton C., Thompson S., Epel D. Some precautions in using chelators to buffer metals in biological solutions. Cell Calcium 2004, 35:427-431.
31. Pohl, P., 2001. Membrannahe Konzentrationspolarisation als Indikator für den osmotisch getriebenen Volumenfluss. Habilitation thesis, Faculty of Medicine, Martin-Luther-Universität Halle Wittenberg, Germany.
32. Rubin S.G., Tannehill J.C. Parabolized/reduced Navier Stokes computational techniques. Annu. Rev. Fluid Mech. 1992, 24:117-144.
33. Song H., Bringer M.R., Tice J.D., Gerdts C.J., Ismagilov R.F Experimental test of scaling of mixing by chaotic advection in droplets moving through microfluidic channels. Appl. Phys. Lett. 2003, 83:4664-4666.
34. Stroock A.D., Dertinger S.K.W., Ajdari A., Mezic I., Stone H.A., Whitesides G.M. Chaotic mixer for microchannels. Science 2002, 295:647-651.
35. Vanka S.P., Luo G., Winkler C.M. Numerical study of scalar mixing in curved channels at low Reynolds numbers. AIChE J. 2004, 50:2359-2368.
36. Watts P., Wiles Ch. Recent advances in synthetic micro reaction technology. Chem. Commun. 2007, 5:443-467.
37. Wiggins S., Ottino J.M. Foundations of chaotic mixing. Phil. Trans. R. Soc. Lond. A 2004, 362:937-970.