DOI QR코드

DOI QR Code

On the Problem of Using Mixing Index Based on the Concentration Dispersion

농도분산에 근거한 혼합지수 사용의 문제

  • Published : 2006.08.01

Abstract

In this study, the problem of using the mixing index as a measure of the mixing performance for a certain flow field has been discussed. The flow model subjected to this study is the two-dimensional unsteady lid-driven cavity flow. The transport equation for the concentration within the cavity was solved by using the finite volume method where the convective terms are discretized with the central difference scheme. It was shown that both the concentration dispersion and the mixing index depend highly on the initial distribution of the concentration, and therefore the mixing index obtained from the concentration dispersion equation loses its universal applicability.

Keywords

References

  1. Yi, M. and Bau, H. H., 2003, 'The Kinematics of Bend-Induced Mixing in Micro-Conduits,' Int. J. Heat Fluid Flow, Vol. 24, pp. 645-656 https://doi.org/10.1016/S0142-727X(03)00026-2
  2. McQuain, M. K., Seale, K., Peek, J., Fisher, T. S., Levy, S., StremIer, M. A. and Haselton, F. R., 2004, 'Chaotic Mixer Improves Microarray Hybridization,' Anal Biochem., Vol. 325, pp. 215-226 https://doi.org/10.1016/j.ab.2003.10.032
  3. Chang, C-C and Yang, R-J, 2004, 'Computational Analysis of ElectrokineticaHy Driven Flow Mixing in Microchannels with Patterned Blocks,' J. Micromech. Microeng., Vol. 14, pp. 550-558 https://doi.org/10.1088/0960-1317/14/4/016
  4. Kim, D. S., Lee, S. H., Kwon, T. H. and Ahn, C. H., 'A Serpentine Laminating Micromixer Combining Splitting/Recombination and Advection,' Lab on a Chip, Vol. 5, pp. 739-747 https://doi.org/10.1039/b418314b
  5. Grumann, M., Geipel, A., Riegger, L., ZengerIe, R. and Ducree, J., 2005, 'Batch-Mode Mixing on Centrifugal Microfluidic Platforms,' Lab on a Chip, Vol. 5, pp. 560-565 https://doi.org/10.1039/b418253g
  6. Howell, P. B., Mott, D. R., Fertig, S., Kaplan, C. R., Golden, J. P., Oran, E. S. and Ligler, F. S., 2005, 'A Microfluidic Mixer with Grooves Placed on the Top and Bottom of the Channel,' Lab on a Chip, Vol. 5, pp. 524-530 https://doi.org/10.1039/b418243j
  7. Qian, S. and Bau, H. H., 2005, 'Theoretical Investigation of Electro-Osmotic Flows and Chaotic Stirring in Rectangular Cavities,' Appl. Math. Modelling, Vol. 29, pp. 726-753 https://doi.org/10.1016/j.apm.2004.10.006
  8. Wu, H-Y and Liu, C-H, 2005, 'A Novel Electrokinetic Micromixer,' Sensors and Actuators, A 118, pp. 107-115 https://doi.org/10.1016/j.sna.2004.06.032
  9. Ottino, J.M., 1989, The Kinematics of Mixing: Stretching, Chaos and Transport, Cambridge University Press
  10. Suh, Y. K., 1995, 'Chaotic Stirring of an Alternately-Driven-Cavity Flow,' Trans. of the KSME (B), Vol. 19, No.2, pp. 537-547
  11. Jaworski, Z. and Dudczak, J., 1998, 'CFD Modelling of Turbulent Macromixing in Stirred Tanks, Effect of the Probe Size and Number on Mixing Indices,' Computers Chem. Engng, Vol. 22, Suppl., pp. S293-S298 https://doi.org/10.1016/S0098-1354(98)00067-2
  12. Devahastin, S. and Mujumdar, A. S., 2001, 'A Study of Turbulent Mixing of Confined Impinging Streams Using a New Composite Turbulence Model,' Ind. Eng. Chem. Res., Vol. 40, pp. 4998-5004 https://doi.org/10.1021/ie010153a
  13. Niamuy, C. and Devahastin, S., 2005, 'Effects of Geometry and Operating Conditions on the Mixing Behavior of an In-Line Impinging Stream Mixer,' Chem. Eng. Sci., Vol. 60, pp. 1701-1708 https://doi.org/10.1016/j.ces.2004.10.031
  14. Feger, C., Gelonne, J. D., McGlashan-Powell, M. and Kalyon, D. M., 2005, 'Mixing, Rheology and Stability of Highly Filled Thermal Pastes,' IBM J. Res., Vol. 49, No. 4/5, pp. 699-707 https://doi.org/10.1147/rd.494.0699
  15. Maeng, J-S, Cho, I-D and Kim, B-J, 2005, 'Prediction of Degree of Mixing for Insoluble Solution with Vortex Index in a Oassive Micromixer,' Trans. of the KSME (B), Vol. 29, No.2, pp. 232-238 https://doi.org/10.3795/KSME-B.2005.29.2.232
  16. Lee, D. S., Kim, H. G, Ha, M. Y., Park, Y. H. and Park, I. M., 2005, 'Mixing Effect by the Geometry of Static Mixer with Turbulent In-Situ Mixing Process,' Trans. of the KSME (B), Vol. 29, No. 12, pp. 1307-1312 https://doi.org/10.3795/KSME-B.2005.29.12.1307
  17. Kim, Y., An, S. and Maeng, J., 2006, 'The Effect of Karman Vortex for Mixing in a Micro-Channel with an Oscillating Micro-Stirrer,' Trans. of the KSME (B), Vol. 30, No. 2, pp. 144-152 https://doi.org/10.3795/KSME-B.2006.30.2.144
  18. Leong, C. W. and Ottino, J. M., 1989, 'Experiments on Mixing due to Chaotic Advection in a Cavity,' J. Fluid Mech., Vol. 209, pp. 463-499 https://doi.org/10.1017/S0022112089003186