Commenced in January 2007
Paper Count: 31814
Electroviscous Effects in Low Reynolds Number Flow through a Microfluidic Contraction with Rectangular Cross-Section
Abstract:The electrokinetic flow resistance (electroviscous effect) is predicted for steady state, pressure-driven liquid flow at low Reynolds number in a microfluidic contraction of rectangular cross-section. Calculations of the three dimensional flow are performed in parallel using a finite volume numerical method. The channel walls are assumed to carry a uniform charge density and the liquid is taken to be a symmetric 1:1 electrolyte. Predictions are presented for a single set of flow and electrokinetic parameters. It is shown that the magnitude of the streaming potential gradient and the charge density of counter-ions in the liquid is greater than that in corresponding two-dimensional slit-like contraction geometry. The apparent viscosity is found to be very close to the value for a rectangular channel of uniform cross-section at the chosen Reynolds number (Re = 0.1). It is speculated that the apparent viscosity for the contraction geometry will increase as the Reynolds number is reduced.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071828Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1618
 G. Whitesides and A. Stroock, "Flexible methods for microfluidics," Phys. Fluids, vol. 54, no. 6, pp. 42-48, 2001.
 M. Gad-El-Hak (ed.), The MEMS Handbook, second edition, CRC Press, Boca Raton, 2006.
 H. A. Stone and S. Kim, "Microfluidics: basic issues, applications, and challenges," AIChE J., vol. 47. No. 6, pp. 1250-1254, 2001
 H. A. Stone, A.D. Stroock and A. Ajdari, "Engineering flows in small devices: microfluidics towards a lab-on-a-chip," Annu. Rev. Fluid Mech., vol. 36, pp. 381-411, 2004.
 D. Li, Electrokinetics in Microfluidics. Interface Science and Technology, Vol. 2 (ed. A. Hibbard), Academic Press, 2004.
 R.J. Hunter, Zeta Potential in Colloid Science: Principles and Application. Academic Press, New York, 1981.
 G.M. Mala, D. Li and J.D. Dale, "Heat transfer and fluid flow in microchannels," Int. J. Heat Mass Transfer, vol. 40, pp. 3079-3088, 1997.
 G.M. Mala, D. Li, C. Werner and H. Jacobasch, "Flow characteristics of water through a microchannel between two parallel plates with electrokinetic effects," Int. J. Heat and Fluid Flow, vol. 18, no. 5, pp. 489-496, 1997
 M. Chun and H.W. Kwak, "Electrokinetic flow and electroviscous effect in a charged slit-like microfluidic channel with nonlinear Poisson- Boltzmann field," Korea-Australia Rheology J., vol. 15, no. 2, pp. 83- 90, 2003.
 W.R. Bowen and F. Jenner, "Electroviscous effects in charged capillaries," J. Coll. Interface Sci., vol. 173, pp. 388-395, 1995.
 D. Brutin and L. Tadrist, "Modeling of surface-fluid electrokinetic coupling on the laminar flow friction factor in microtubes," Microscale Thermophysical Engineering, vol.9, pp. 33-48, 2005.
 J. Hsu, C. Kao, S. Tseng, and C. Chen, "Electrokinetic flow through an elliptical microchannel: Effects of aspect ratio and electrical boundary conditions," J. Coll. Interface Sci., vol. 248, pp. 176-184, 2002.
 L. Ren, D. Li and W. Qu, "Electro-viscous effects on liquid flow in microchannels," J. Coll. Interface Sci., vol. 233, pp. 12-22, 2001.
 D. Li, "Electro-viscous effects on pressure-driven liquid flow in microchannels," Colloids and Surfaces A, vol. 195, pp. 35-57, 2001.
 M.R. Davidson and D.J.E. Harvie, "Electroviscous effects in low Reynolds number liquid flow through a slit-like microfluidic contraction," Chem. Eng. Sci., vol. 62, pp. 4229-4240, 2007.
 M.R. Davidson, D.J.E. Harvie and P. Liovic, "Electrokinetic flow resistance in pressure-driven liquid flow through a slit-like microfluidic contraction," in Proc. 16th Australasian Fluid Mechanics Conf., Gold Coast, Australia, 2-7 Dec. 2007, pp. 798-802.
 R.P. Bharti, D.J.E. Harvie and M.R. Davidson, "Steady flow of ionic liquid through a cylindrical microfluidic contraction-expansion pipe: Electroviscous effects and pressure drop," Chem. Eng. Sci, accepted for publication.
 M. Rudman, "A volume-tracking method for incompressible multifluid flows with large density variations," Int. J. for Numerical Methods in Fluids, vol. 28, pp. 357-378, 1998.
 D.J.E Harvie, M.R. Davidson, J.J. Cooper-White and M. Rudman, "A parametric study of droplet deformation through a microfluidic contraction: Shear thinning liquids," Int. J. Multiphase Flow, vol. 33, pp. 545-556, 2007.
 P.Liovic, D.Lakehal, "Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces, " J. Comput. Phys., vol. 222, pp. 504-535, 2007.