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Studying Electroosmosis of Viscoplastic Casson Fluid Using Lattice-Poisson-Boltzmann Method

Published online by Cambridge University Press:  24 May 2017

S. Derakhshan ,
M. Rezaee  and
H. Sarrafha
S. Derakhshan*
Affiliation:
School of Mechanical EngineeringIran University of Science & TechnologyTehran, Iran
M. Rezaee
Affiliation:
School of Mechanical EngineeringIran University of Science & TechnologyTehran, Iran
H. Sarrafha
Affiliation:
School of Mechanical EngineeringIran University of Science & TechnologyTehran, Iran
*
*Corresponding author ([email protected])
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Abstract

A numerical investigation of an electroosmotic flow through a microchannel is presented. Lattice Poisson-Boltzmann method was utilized to determine the effective geometrical and electrokinetic parameters in a microfluidic system. The non-Newtonian fluid model is assumed to be viscoplastic which is suitable for modeling biologic structures. These types of fluids are shown to have a yield stress which affects the velocity profile significantly. Unlike Casson fluid constitutive properties, electrokinetic parameters are shown not to be effective on the yielded region in the microchannel. The influence of flow and viscokinetic parameters on yield height, plug-flow velocity and mass flow rate was studied and discussed.

Keywords

Casson fluidElectroosmosisLattice blotzmann methodNumerical analysis
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 5 , October 2017 , pp. 713 - 723
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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References

1. Laser, D. J. and Juan, G. S., “A Review of Micropumps,” Journal of Micromechanics and Microengineering, 14, pp. 35–64 (2004).CrossRefGoogle Scholar
2. Si, D.-Q., Jian, Y.-J., Chang, L. and Liu, Q.-S., “Unsteady Rotating Electroosmotic Flow Through a Slit Microchannel,” Journal of Mechanics, 32, pp. 1–9 (2016).CrossRefGoogle Scholar
3. Kirby, B. J., Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices, Cambridge University Press, London, England (2010).Google Scholar
4. White, C., Borg, M. K., Scanlon, T. J. and Reese, J. M., “A DSMC Investigation of Gas Flows in Micro-Channels with Bends,” Computers & Fluids, 71, pp. 261–271 (2013).CrossRefGoogle Scholar
5. Derakhshan, S., Rezaee, M. and Sarrafha, H., “A Molecular Dynamics Study of Description Models for Shear Viscosity in Nanochannels: Mixtures and Effect of Temperature,” Nanoscale and Microscale Thermophysical Engineering, 19, pp. 206–220 (2015)CrossRefGoogle Scholar
6. Derakhshan, S. and Yazdani, K., “3D Analysis of Magnetohydrodynamic (MHD) Micropump Performance Using Numerical Method,” Journal of Mechanics, 32, pp. 1–8 (2015).Google Scholar
7. Wang, J., Wang, M. and Li, Z., “Lattice-Poisson-Boltzmann Simulations of Electroosmotic Flows in Microchannels,” Journal of Colloid and Interface Science, 296, pp. 729–736 (2006).CrossRefGoogle ScholarPubMed
8. Boyd, J., Buick, J. M. and Green, S., “Analysis of the Casson and Carreau-Yasuda Non-Newtonian Blood Models in Steady and Oscillatory Flows Using the Lattice Boltzmann Method,” Physics of Fluids (1994-present), 19, 093103 (2007).CrossRefGoogle Scholar
9. Berli, C. L. A. and Olivares, M. L., “Electrokinetic Flow of Non-Newtonian Fluids in Microchannels,” Journal of Colloid and Interface Science, 320, pp. 582–589 (2008).CrossRefGoogle ScholarPubMed
10. Yoshino, M., Hotta, Y., Hirozane, T. and Endo, M., “A Numerical Method for Incompressible Non-Newtonian Fluid Flows Based on the Lattice Boltzmann Method,” Journal of non-Newtonian Fluid Mechanics, 147, pp. 69–78 (2007).CrossRefGoogle Scholar
11. Tang, G. H., Li, X. F., He, Y. L. and Tao, W. Q., “Electroosmotic Flow of Non-Newtonian Fluid in Microchannels,” Journal of Non-Newtonian Fluid Mechanics, 157, pp. 133–137 (2009).CrossRefGoogle Scholar
12. Zhao, C. and Yang, C., “Nonlinear Smoluchowski Velocity for Eectroosmosis of Power-Law Fluids over a Surface with Arbitrary Zeta Potentials,” Electrophoresis, 31, pp. 973–979 (2010).CrossRefGoogle Scholar
13. Berli, C. L. A., “Output Pressure and Efficiency of Electrokinetic Pumping of Non-Newtonian Fluids,” Microfluids and Nanofluids, 8, pp. 197–207 (2010).CrossRefGoogle Scholar
14. Vasu, N., and De, S., “Electroosmotic Flow of Power-Law Fluids at High Zeta Potentials,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, 368, pp. 44–52 (2010).CrossRefGoogle Scholar
15. Hadigol, M., Nosrati, R. and Raisee, M., “Numerical Analysis of Mixed Electroosmotic/Pressure Driven Flow of Power-Law Fluids in Microchannels and Micropumps,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, 374, pp. 142–153 (2011).CrossRefGoogle Scholar
16. Nosrati, R., Hadigol, M. and Raisee, M., “The Effect of y-Component Electroosmotic Body Force in Mixed Electroosmotic/Pressure Driven Microflows,” Colloids and Surfaces A: Physicochemical and Engineering Aspects, 372, pp. 190–195 (2010).CrossRefGoogle Scholar
17. Hadigol, M., Nosrati, R., Nourbakhsh, A. and Raisee, M., “Numerical Study of Electroosmotic Micromixing of Non-Newtonian Fluids,” Journal of non-Newtonian Fluid Mechanics, 166, pp. 965–971 (2011).CrossRefGoogle Scholar
18. Zhao, C. and Yang, C., “An Exact Solution for Electroosmosis of Non-Newtonian Fluids in Microchannels,” Journal of Non-Newtonian Fluid Mechanics, 166, pp. 1076–1079 (2011).CrossRefGoogle Scholar
19. Ng, C.-O., “Combined Pressure-Driven and Electroosmotic Flow of Casson Fluid Through a Slit Microchannel,” Journal of non-Newtonian Fluid Mechanics, 198, pp. 1–9 (2013).CrossRefGoogle Scholar
20. Yang, Z. and Yong, W. A., “Asymptotic Analysis of the Lattice Boltzmann Method for Generalized Newtonian Fluid Flows,” Multiscale Modeling & Simulation, 12, pp. 1028–1045 (2014).CrossRefGoogle Scholar
21. Ng, C.-O. and Qi, C., “Electroosmotic Flow of a Viscoplastic Material Through a Slit Channel with Walls of Arbitrary Zeta Potential,” Physics of Fluids, 25, 103102 (2013).CrossRefGoogle Scholar
22. Derakhshan, S., Adibi, I. and Sarrafha, H., “Numerical Study of Electroosmotic Micropump Using Lattice Boltzmann Method,” Computers and Fluids, 114, pp. 232–241 (2015).CrossRefGoogle Scholar
23. Kefayati, G. R., “Simulation of Vertical and Horizontal Magnetic Fields Effects on Non-Newtonian Power-Law Fluids in an Internal Flow Using FDLBM,” Computers and Fluids, 114, pp. 12–25 (2015).CrossRefGoogle Scholar
24. Casson, N., “A Flow Equation for Pigment-Oil Suspensions of the Printing Ink Type,” Rheology of Disperse Systems, Pergamon Press, London, pp. 84–104 (1959).Google Scholar
25. Neofytou, P. and Drikakis, D., “Non-Newtonian Flow Instability in a Channel with a Sudden Expansion”, Journal of Non-Newtonian Fluid Mechanics, 111, pp. 127–150 (2003).CrossRefGoogle Scholar
26. Wang, M. and Chen, S. Y., “On Applicability of Poisson-Boltzmann Equation for Micro- and Nano-Scale Electroosmotic Flows,” Journal of Communications in Computational Physics, 3, pp. 1087–1099 (2008).Google Scholar
27. Chen, S., He, X., Bertola, V. and Wang, M., “Electro-Osmosis of Non-Newtonian Fluids in Porous Media Using Lattice Poisson–Boltzmann Method,” Colloid and Interface Science, 436, pp. 186–193 (2014).CrossRefGoogle ScholarPubMed
28. Schoch, R. B., Han, J. and Renaud, P., “Transport Phenomena in Nanofluidics,” Reviews of Modern Physics, 80, 839 (2008).CrossRefGoogle Scholar
29. Mohamad, A. A., Lattice Boltzmann Method, Fundamentals and Engineering Applications with Computer Codes, Springer-Verlag, London (2011).CrossRefGoogle Scholar
30. Artoli, A. M., Mesoscopic Computational Haemodynamics, University of Amsterdam, Amesterdam (2003).Google Scholar
31. Zou, Q. and He, X., “On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model,” Physics of Fluids, 9, pp. 1591–1598, (1997).CrossRefGoogle Scholar
32. D’Orazio, A. and Succi, S., “Simulating Two-Dimensional Thermal Channel Flows by Means of a Lattice Boltzmann Method with New Boundary Conditions,” Future Generation Computer Systems, 20, pp. 935–944 (2004).CrossRefGoogle Scholar