Numerical Study of Fluid Mixing in a Grooved Micro-Channel with Wavy Sidewalls
In this work, we perform numerical simulation of fluid
mixing in a floor-grooved micro-channel with wavy sidewalls which
may impose perturbation on the helical flow induced by the slanted
grooves on the channel floor. The perturbation is caused by separation
vortices in the recesses of the wavy-walled channel as the Reynolds
number is large enough. The results show that the effects of the wavy
sidewalls of the present micromixer on the enhancement of fluid
mixing increase with the increase of Reynolds number. The degree of
mixing increases with the increase of the corrugation angle, until the
angle is greater than 45 degrees. Besides, the pumping pressure of the
micromixer increases with the increase of the corrugation angle
monotonically. Therefore, we would suggest setting the corrugation
angle of the wavy sidewalls to be 45 degrees.
<p>[1] N. T. Nguyen and Z. Wu, “Micromixers – a review,” J. Micromech.
Microeng., vol. 15, pp. R1–R16, 2005.
[2] L. Capretto, W. Cheng, M. Hill, and X. Zhang, “Micromixing within
Microfluidic Deivces,” Top. Curr. Chem., vol. 304, pp. 27-68, 2011.
[3] A. D. Stroock, S. K. W. Dertinger, A. Ajdari, I. Mezic, H. A. Stone and G.
M. Whitesides, “Chaotic mixer for microchannels,” Science, vol. 295, pp.
647-651, 2002.
[4] H. Z. Wang, P. Iovenitti, E. Harvey, and S. Masood, “Numerical
investigation of mixing in microchannels with patterned grooves,” J
Micromech Microeng, vol. 13, pp. 801–808, 2003.
[5] D. G. Hassell and W. B. Zimmerman, “Investigation of the convective
motion through a staggered herringbone micromixer at low Reynolds
number flow,” Chem. Eng. Sci ., vol. 61, pp. 2977–2985, 2006.
[6] J.-T. Yang, K.–J. Huang, and Y.–C. Lin, “Geometric effects on fluid
mixing in passive grooved micromixers,” Lab Chip, vol. 5, pp.
1140–1147, 2005.
[7] D. S. Kim, S. W. Lee, T. H. Kwon, and S. S. Lee, “A barrier embedded
chaotic micromixer,” J. Micromech. Microeng., vol. 14, pp. 798-805,
2004.
[8] H. Sato, S. Ito, K. Tajima, N. Orimoto, and S. Shoji, “PDMS
microchannels with slanted grooves embedded in three walls to realize
efficient spiral flow,” Sens. Actuators, vol. A-119, pp. 365–371, 2005.
[9] A. M. Guzman and C. H. Amon, “Dynamical flow characterization of
transitional and chaotic regimes in converging-diverging channels,” J.
Fluid Mech., vol. 321, pp. 25-57, 1996.
[10] L. Goldstein and E. M.Sparrow, “Heat/mass transfer characteristics for
flow in a corrugated wall channel,” Trans. ASME J. Heat Transfer, vol. 99,
pp. 187–195, 1997.
[11] I. Sang and N. Hyung, “Experimental study on flow and local heat/mass
transfer characteristics inside corrugated duct,” Int. J. Heat Fluid Flow,
vol. 27, pp. 21–32, 2006.
[12] S. A. Rani, B. Pitts, and P. S. Stewart, “Rapid diffusion of fluorescent
tracers into staphylococcus epidermidis biofilms visualized by time lapse
microscopy,” Antimicrob. Agents Chemother., vol. 49, pp. 728-732,
2005.
[13] J. Boss, “Evaluation of the homogeneity degree of a mixture,” Bulk Solids
Handl., vol. 6, pp. 1207-1215, 1986.</p>
<p>[1] N. T. Nguyen and Z. Wu, “Micromixers – a review,” J. Micromech.
Microeng., vol. 15, pp. R1–R16, 2005.
[2] L. Capretto, W. Cheng, M. Hill, and X. Zhang, “Micromixing within
Microfluidic Deivces,” Top. Curr. Chem., vol. 304, pp. 27-68, 2011.
[3] A. D. Stroock, S. K. W. Dertinger, A. Ajdari, I. Mezic, H. A. Stone and G.
M. Whitesides, “Chaotic mixer for microchannels,” Science, vol. 295, pp.
647-651, 2002.
[4] H. Z. Wang, P. Iovenitti, E. Harvey, and S. Masood, “Numerical
investigation of mixing in microchannels with patterned grooves,” J
Micromech Microeng, vol. 13, pp. 801–808, 2003.
[5] D. G. Hassell and W. B. Zimmerman, “Investigation of the convective
motion through a staggered herringbone micromixer at low Reynolds
number flow,” Chem. Eng. Sci ., vol. 61, pp. 2977–2985, 2006.
[6] J.-T. Yang, K.–J. Huang, and Y.–C. Lin, “Geometric effects on fluid
mixing in passive grooved micromixers,” Lab Chip, vol. 5, pp.
1140–1147, 2005.
[7] D. S. Kim, S. W. Lee, T. H. Kwon, and S. S. Lee, “A barrier embedded
chaotic micromixer,” J. Micromech. Microeng., vol. 14, pp. 798-805,
2004.
[8] H. Sato, S. Ito, K. Tajima, N. Orimoto, and S. Shoji, “PDMS
microchannels with slanted grooves embedded in three walls to realize
efficient spiral flow,” Sens. Actuators, vol. A-119, pp. 365–371, 2005.
[9] A. M. Guzman and C. H. Amon, “Dynamical flow characterization of
transitional and chaotic regimes in converging-diverging channels,” J.
Fluid Mech., vol. 321, pp. 25-57, 1996.
[10] L. Goldstein and E. M.Sparrow, “Heat/mass transfer characteristics for
flow in a corrugated wall channel,” Trans. ASME J. Heat Transfer, vol. 99,
pp. 187–195, 1997.
[11] I. Sang and N. Hyung, “Experimental study on flow and local heat/mass
transfer characteristics inside corrugated duct,” Int. J. Heat Fluid Flow,
vol. 27, pp. 21–32, 2006.
[12] S. A. Rani, B. Pitts, and P. S. Stewart, “Rapid diffusion of fluorescent
tracers into staphylococcus epidermidis biofilms visualized by time lapse
microscopy,” Antimicrob. Agents Chemother., vol. 49, pp. 728-732,
2005.
[13] J. Boss, “Evaluation of the homogeneity degree of a mixture,” Bulk Solids
Handl., vol. 6, pp. 1207-1215, 1986.</p>
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55617", author = "Yu-Sin Lin and Chih-Yang Wu and Yung-Ching Chu", title = "Numerical Study of Fluid Mixing in a Grooved Micro-Channel with Wavy Sidewalls", abstract = "In this work, we perform numerical simulation of fluid
mixing in a floor-grooved micro-channel with wavy sidewalls which
may impose perturbation on the helical flow induced by the slanted
grooves on the channel floor. The perturbation is caused by separation
vortices in the recesses of the wavy-walled channel as the Reynolds
number is large enough. The results show that the effects of the wavy
sidewalls of the present micromixer on the enhancement of fluid
mixing increase with the increase of Reynolds number. The degree of
mixing increases with the increase of the corrugation angle, until the
angle is greater than 45 degrees. Besides, the pumping pressure of the
micromixer increases with the increase of the corrugation angle
monotonically. Therefore, we would suggest setting the corrugation
angle of the wavy sidewalls to be 45 degrees.
", keywords = "Fluid mixing, grooved channel, microfluidics,
separation vortex.", volume = "7", number = "7", pages = "1512-5", }
