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마이크로 믹서에서 와도 지수에 의한 비용해성 물질의 혼합 예측

Prediction of Degree of Mixing for Insoluble Solution with Vortex Index in a Passive Micromixer


The 'Mixing Index($D_I$)' is used as a conventional guidance measuring the degree of mixing for multiphase flows. For the case when insoluble solutions flow in a passive micromixer, a new method to calculate $D_I$ is proposed. The 'Vortex Index(${\Omega}_I$)' is suggested and formulated. We infer that ${\Omega}_I$ relates to the degree of chaotic advection. Various arbitrary shaped microchannels were tested to calculate the $D_I\;and\;{\Omega}_I$, and then a simple algebraic equation, $D_I=Aexp(B{\Omega}_I)$, is obtained. This equation may be used instead of the conventional partial differential equation, concentration equation, to estimate the degree of mixing.

참고문헌 (8)

  1. Liu, R.H., Stremler, M.A., Sharp, K.V., Olsen, M.G, Santiago, J.G, Adrian, R.J., Aref, H. and Beebe, D.J., 2000, 'Passive Mixing in a Three-Dimensional Serpentine Microchannel,' J. Microelectromech. Syst., Vol. 9, pp. 190-197 
  2. Beebe, J. D., Adrian, J. R., Olsen, G. M., Stremler, A. M., Aref, H. and Jo, B., 2001, 'Passive Mixing in Microchannels : Fabrication and Flow Experiments,' Mec. Ind., Vol. 2, No.2, pp. 343-348 
  3. Costin, D. C. and Synovec, E. R., 2002, 'Measuring the Transverse Concentration Gradient Between Adjacent Laminar Flow in a Microfluidic Device by a Laser-Based Refractive Index Gradient Detector,' Talanta, Vol. 58, No.3, pp. 551-560 
  4. Liu, Y. Z., Kim, B. and Sung, H., 2003, 'Two-Fluid Mixing in a Microchannel,' KSCFE Journal, Vol. 8, No.2, pp. 16-23 
  5. Wu, Z., Nguyen, N. and Huang, X., 2004, 'Nonlinear Diffusive Mixing in Microchannels: Theory and Experiments,' J. Micromech. Microeng, Vol. 14, No. 4, pp. 604-611 
  6. Choi, H., Lee, D. and Maeng, J., 2003, 'A Node-Centered Pressure-Based Method for All Speed Flows on Unstructured Grids,' Numerical heat transfer Part B, Fundamentals, Vol. 44, No.2, pp. 165-186 
  7. Antonini, G., Gelus, M., Guiffant, G. and Zoulalian, A., 1981, 'Caracteristiques des Transferts Simultanes de Masse et de Quantite de Mounement dans des Ecoulements de Recirculation Force,' Int. J. Heat Mass transfer, Vol. 24, No.8, pp. 1313-1323 
  8. Nishmura, T. and Kunitsugu, K., 1997, 'Fluid Mixing and Mass Transfer in Two-Dimensional Cavities with Time-Periodic Lid Velocity,' Int. J. Heat and Fluid Flow, Vol. 18, No.5, pp. 497-506 

이 논문을 인용한 문헌 (2)

  1. Suh Yong-Kweon 2006. "On the Problem of Using Mixing Index Based on the Concentration Dispersion" 大韓機械學會論文集. Transactions of the Korean Society of Mechanical Engineers. B. B, 30(8): 796~805 
  2. Yoo, Young-Hyun ; Ki, Hyun ; Choi, Jong-Wook ; Kim, Sung-Cho ; Kim, Yong-Seon ; Lee, Yong-Ho 2009. "Numerical Analysis of Mixing Flow in a Small-Scale Water Supply System" 대한환경공학회지 = Journal of Korean Society of Environmental Engineers, 31(6): 460~466 

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