Numerical Investigation into Mixing Performance of Electrokinetically-Driven Power-Law Fluids in Microchannel with Patterned Trapezoid Blocks
The study investigates the mixing performance of
electrokinetically-driven power-law fluids in a microchannel
containing patterned trapezoid blocks. The effects of the geometry
parameters of the patterned trapezoid blocks and the flow behavior
index in the power-law model on the mixing efficiency within the
microchannel are explored. The results show that the mixing efficiency
can be improved by increasing the width of the blocks and extending
the length of upper surface of the blocks. In addition, the results show
that the mixing efficiency increases with an increasing flow behavior
index. Furthermore, it is shown that a heterogeneous patterning of the
zeta potential on the upper surfaces of the trapezoid blocks prompts
the formation of local flow recirculations, and therefore improves the
mixing efficiency. Consequently, it is shown that the mixing
performance improves with an increasing magnitude of the
heterogeneous surface zeta potential.
<p>[1] X. Niu, and Y. K. Lee, “Efficient spatial-temporal chaotic mixing in
microchannels,” J. Micromech. Microeng., Vol. 13, no. 3, pp. 454-462,
May 2003.
[2] C. C. Cho, C. L. Chen, R. T. Tsai, and C.K. Chen, “A novel microfluidic
mixer using aperiodic perturbation flows,” Chem. Eng. Sci., Vol. 66, no.
23, pp. 6159-6167, Dec.2011..
[3] J. R. Pacheco, K. P. Chen, A. Pacheco-Vega, B. Chen, and M. A. Hayes,
“Chaotic mixing enhancement in electro-osmotic flows by random period
modulation,” Phys. Lett. A, Vol. 372, no. 7, pp. 1001-1008, Feb. 2008.
[4] C. C. Cho, C. L. Chen, and C. K. Chen, “Mixing enhancement in
crisscross micromixer using aperiodic electrokinetic perturbing flows,”
Int. J. Heat Mass Transf., Vol. 55, no. 11-12, pp. 2926-2933, May 2012.
[5] 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,
no. 555, pp. 647-651, Jan. 2002.
[6] R. Choudhary, T. Bhakat, R. K. Singh, A. Ghubade, S. Mandal, A.
Ghosh, A. Rammohan, A. Sharma, and S. Bhattacharya, “Bilayer
staggered herringbone micro-mixers with symmetric and asymmetric
geometries,” Microfluid. Nanofluid., Vol. 10, no. 2, pp. 271-286, Feb.
2011.
[7] R. H. Liu, M. A. Stremler, K. V. Sharp, M. G. Olsen, J. G. Santiago, R. J.
Adrian, H. Aref, and D. J. Beeber, “Passive mixing in a three-dimensional
serpentine microchannel,” J. Microelectromech. Syst., Vol. 9, no. 2, pp.
190-197, Jun. 2000.
[8] M. A. Ansari, and K. Y. Kim, “Parametric study on mixing of two fluids
in a three-dimensional serpentine microchannel,” Chem. Eng. J., Vol.
146, no. 3, pp. 439-448, Feb. 2009.
[9] V. Mengeaud, J. Josserand, and H. H. Girault, “Mixing processes in a
zigzag microchannel: finite element simulations and optical study,” Anal.
Chem., Vol. 74, no. 16, pp. 4279-4286, Aug. 2002.
[10] C. K. Chen, and C.C. Cho, “Electrokinetically-driven flow mixing in
microchannels with wavy surface,” J. Colloid Interface Sci., Vol. 312, no.
2, pp. 470-480, Aug. 2007.
[11] C. Zhao, E. Zholkovskij, J. H. Masliyah, and C. Yang, “Analysis of
electroosmotic flow of power-law fluids in a slit microchannel,” J.
Colloid Interface Sci., Vol. 326, no. 2, pp. 503-510, Oct. 2008.
[12] G. H. Tang, X. F. Li, Y. L. He, and W. Q. Tao, “Electroosmotic flow of
non-Newtonian fluid in microchannels,” J. Non-Newton. Fluid Mech.,
Vol. 157, no. 1-2, pp. 133-137, Mar. 2009.
[13] N. Vasu, and S. De, “Electroosmotic flow of power-law fluids at high zeta
potentials,” Colloid Surf. A-Physicochem. Eng. Asp., Vol. 368, no. 1-3,
pp. 44-52, Sep. 2010.
[14] M. Hadigol, R. Nosrati, and M. Raisee, “Numerical analysis of mixed
electroosmotic/pressure driven flow of power-law fluids in microchannels
and micropumps,” Colloid Surf. A-Physicochem. Eng. Asp.. Vol. 374,
no. 1-3, pp. 142-153, Jan. 2011.
[15] C. C. Cho, C. L. Chen, and C. K. Chen, “Electrokinetically-driven
non-Newtonian fluid flow in rough microchannel with complex-wavy
surface,” J. Non-Newton. Fluid Mech., Vol. 173-174, pp. 13-20, Apr.
2012.
[16] P. D. Thomas, and J. F. Middlecoff, “Direct control of the grid point
distribution in meshes generated by elliptic equations,” AIAA J., Vol. 18,
no. 6, pp. 652-656, 1980.
[17] S. V. Patankar, “Numerical Heat Transfer and Fluid Flow,” New York:
McGraw-Hill, 1980.
<p>[1] X. Niu, and Y. K. Lee, “Efficient spatial-temporal chaotic mixing in
microchannels,” J. Micromech. Microeng., Vol. 13, no. 3, pp. 454-462,
May 2003.
[2] C. C. Cho, C. L. Chen, R. T. Tsai, and C.K. Chen, “A novel microfluidic
mixer using aperiodic perturbation flows,” Chem. Eng. Sci., Vol. 66, no.
23, pp. 6159-6167, Dec.2011..
[3] J. R. Pacheco, K. P. Chen, A. Pacheco-Vega, B. Chen, and M. A. Hayes,
“Chaotic mixing enhancement in electro-osmotic flows by random period
modulation,” Phys. Lett. A, Vol. 372, no. 7, pp. 1001-1008, Feb. 2008.
[4] C. C. Cho, C. L. Chen, and C. K. Chen, “Mixing enhancement in
crisscross micromixer using aperiodic electrokinetic perturbing flows,”
Int. J. Heat Mass Transf., Vol. 55, no. 11-12, pp. 2926-2933, May 2012.
[5] 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,
no. 555, pp. 647-651, Jan. 2002.
[6] R. Choudhary, T. Bhakat, R. K. Singh, A. Ghubade, S. Mandal, A.
Ghosh, A. Rammohan, A. Sharma, and S. Bhattacharya, “Bilayer
staggered herringbone micro-mixers with symmetric and asymmetric
geometries,” Microfluid. Nanofluid., Vol. 10, no. 2, pp. 271-286, Feb.
2011.
[7] R. H. Liu, M. A. Stremler, K. V. Sharp, M. G. Olsen, J. G. Santiago, R. J.
Adrian, H. Aref, and D. J. Beeber, “Passive mixing in a three-dimensional
serpentine microchannel,” J. Microelectromech. Syst., Vol. 9, no. 2, pp.
190-197, Jun. 2000.
[8] M. A. Ansari, and K. Y. Kim, “Parametric study on mixing of two fluids
in a three-dimensional serpentine microchannel,” Chem. Eng. J., Vol.
146, no. 3, pp. 439-448, Feb. 2009.
[9] V. Mengeaud, J. Josserand, and H. H. Girault, “Mixing processes in a
zigzag microchannel: finite element simulations and optical study,” Anal.
Chem., Vol. 74, no. 16, pp. 4279-4286, Aug. 2002.
[10] C. K. Chen, and C.C. Cho, “Electrokinetically-driven flow mixing in
microchannels with wavy surface,” J. Colloid Interface Sci., Vol. 312, no.
2, pp. 470-480, Aug. 2007.
[11] C. Zhao, E. Zholkovskij, J. H. Masliyah, and C. Yang, “Analysis of
electroosmotic flow of power-law fluids in a slit microchannel,” J.
Colloid Interface Sci., Vol. 326, no. 2, pp. 503-510, Oct. 2008.
[12] G. H. Tang, X. F. Li, Y. L. He, and W. Q. Tao, “Electroosmotic flow of
non-Newtonian fluid in microchannels,” J. Non-Newton. Fluid Mech.,
Vol. 157, no. 1-2, pp. 133-137, Mar. 2009.
[13] N. Vasu, and S. De, “Electroosmotic flow of power-law fluids at high zeta
potentials,” Colloid Surf. A-Physicochem. Eng. Asp., Vol. 368, no. 1-3,
pp. 44-52, Sep. 2010.
[14] M. Hadigol, R. Nosrati, and M. Raisee, “Numerical analysis of mixed
electroosmotic/pressure driven flow of power-law fluids in microchannels
and micropumps,” Colloid Surf. A-Physicochem. Eng. Asp.. Vol. 374,
no. 1-3, pp. 142-153, Jan. 2011.
[15] C. C. Cho, C. L. Chen, and C. K. Chen, “Electrokinetically-driven
non-Newtonian fluid flow in rough microchannel with complex-wavy
surface,” J. Non-Newton. Fluid Mech., Vol. 173-174, pp. 13-20, Apr.
2012.
[16] P. D. Thomas, and J. F. Middlecoff, “Direct control of the grid point
distribution in meshes generated by elliptic equations,” AIAA J., Vol. 18,
no. 6, pp. 652-656, 1980.
[17] S. V. Patankar, “Numerical Heat Transfer and Fluid Flow,” New York:
McGraw-Hill, 1980.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55785", author = "Cha’o-Kuang Chen and Ching-Chang Cho", title = "Numerical Investigation into Mixing Performance of Electrokinetically-Driven Power-Law Fluids in Microchannel with Patterned Trapezoid Blocks", abstract = "The study investigates the mixing performance of
electrokinetically-driven power-law fluids in a microchannel
containing patterned trapezoid blocks. The effects of the geometry
parameters of the patterned trapezoid blocks and the flow behavior
index in the power-law model on the mixing efficiency within the
microchannel are explored. The results show that the mixing efficiency
can be improved by increasing the width of the blocks and extending
the length of upper surface of the blocks. In addition, the results show
that the mixing efficiency increases with an increasing flow behavior
index. Furthermore, it is shown that a heterogeneous patterning of the
zeta potential on the upper surfaces of the trapezoid blocks prompts
the formation of local flow recirculations, and therefore improves the
mixing efficiency. Consequently, it is shown that the mixing
performance improves with an increasing magnitude of the
heterogeneous surface zeta potential.
", keywords = "Non-Newtonian fluid, Power-law fluid,
Electroosmotic flow, Passive mixer, Mixing, Micromixer.", volume = "7", number = "7", pages = "1525-6", }
