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Electroviscous Effect of Power Law Fluids in a Slit Microchannel With Asymmetric Wall Zeta Potentials

Published online by Cambridge University Press:  02 August 2018

A. Sailaja ,
B. Srinivas  and
I. Sreedhar
A. Sailaja
Affiliation:
Department of Biotechnology Sinhgad College of Engineering Sinhgad, India
B. Srinivas*
Affiliation:
Department of Chemical Engineering GVP College of Engineering (Autonomous) Madhurawada, India
I. Sreedhar
Affiliation:
Department of Chemical Engineering BITS Pilani Hyderabad Campus Hyderabad, India
*
* Corresponding author (bsrini_123@rediffmail.com)
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Abstract

This work analyzes the pressure driven flow of a power law fluid in a slit microchannel of asymmetric walls with electroviscous effects. The steady state Cauchy momentum and the Poisson-Boltzmann equation are solved for the velocity and the potential distribution inside the microchannel. The Debye-Huckel approximation as applicable for low zeta potentials is not made in the present work. The unknown streaming potential is solved by casting the governing equations as an optimization problem using COMSOL Multiphysics. This proposed method is very robust and can be used for a wide variety of cases. It is found that the asymmetry of the zeta potential at the two walls plays an important role on the streaming potential developed. There is a unique zeta potential ratio at which the streaming potential exhibits a maxima for both Debye-Huckel parameter and the power law index. Shear thinning fluids exhibit a stronger dependency of the streaming potential on asymmetry of the zeta potential than shear thickening fluids. For Newtonian fluids narrow slit microchannels develop larger streaming potentials compared to wider microchannels for a given asymmetry.

Keywords

Electroosmotic flowStreaming potentialAsymmetric wall zeta potentialPower law fluid
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 4 , August 2019 , pp. 537 - 547
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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References

REFERENCES

Burgreen, D. and Nakache, F. R., “Electrokinetic Flow in Ultrafine Capillary Slits,” Journal of Physical Chemistry, 68, pp. 1084–1091 (1964).CrossRefGoogle Scholar
Rice, C. L. and Whitehead, R., “Electrokinetic Flow in a Narrow Cylindrical Capillary,” Journal of Physical Chemistry, 69, pp. 4017–4024 (1965).CrossRefGoogle Scholar
Levine, S. and Marriott, J. R., “Theory of Electrokinetic Flow in Fine Cylindrical Capillaries at High Zeta-Potentials,” Journal of Colloid Interface Science, 52, pp. 136–149 (1975).CrossRefGoogle Scholar
Richard Bowe, W. and Frank, J., “Electroviscous Effects in Charged Capillaries,” Journal of Colloid Interface Science, 173, pp. 388–395 (1995).Google Scholar
Masliyah, J. H. and Bhattacharjee, S., Electrokinetic and Colloid Transport Phenomena, Wiley Interscience, New Jersey, USA (2006).CrossRefGoogle Scholar
Stone, H. A., Stroock, A. D. and Adjari, A., “Engineering Flows in Small Devices: Micro Fluidics Towards a Lab on a Chip,” Annual Review of Fluid Mechanics, 36, pp. 381–411 (2004).CrossRefGoogle Scholar
Bird, R. B., Stewart, W. E. and Lightfoot, E. N., Transport Phenomena, Second ed., John Wiley, NY, USA (2002).Google Scholar
Zhao, C. and Yang, C., “Analysis of Power-Law Fluid Flow in a Microchannel with Electrokinetic Effects,” International. Journal of Emerging Multidisciplinary Fluid Sciences, 1, pp. 37–52 (2009).CrossRefGoogle Scholar
Tang, G. H., Ye, P. X. and Tao, W. Q., “Electroviscous Effect on Non-Newtonian Fluid Flow in Microchannels,” Journal of Non-Newtonian Fluid Mechanics, 165, pp. 435–440 (2010).CrossRefGoogle Scholar
Vasu, N., De, S. “Electroviscous Effects in Purely Pressure Driven Flow and Stationary Plane Analysis in Electroosmotic Flow of Power-Law Fluids in a Slit Microchannel,” International Journal of Engineering Science, 48, pp. 1641–1658 (2010).CrossRefGoogle Scholar
Bharti, R. P., Harvie, D. J. E. and Davidson, M. R., “Electroviscous Effects in Steady Fully Developed Flow of a Power-Law Liquid through a Cylindrical Microchannel,” International Journal of Heat Fluid Flow, 30, pp. 804–811 (2009).CrossRefGoogle Scholar
Zhao, C. and Yang, C., “Electrokinetics of Non-Newtonian Fluids: A Review,” Advances in Colloid and Interface Science, 201-202, pp. 94–108 (2013).Google Scholar
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
Nayak, A. K., “Analysis of Mixing for Electroosmotic Flow in Micro/Nano Channels with Surface Heterogeneous Surface Potential,” International Journal of Heat and Mass Transfer, 75, pp. 135–144 (2014).CrossRefGoogle Scholar
Sadeghi, A., Amini, Y., Saidi, M. H. and Yavari, H., “Shear-Rate-Dependent Rheology Effects on Mass Transport and Surface Reactions in Biomicrofluidic Devices,” AICHE Journal, 61, pp. 1912–1924 (2016).CrossRefGoogle Scholar
Soong, C. Y. and Wang, S. H., “Theoretical Analysis of Electrokinetic Flow and Heat Transfer in a Microchannel under Asymmetric Boundary Conditions,” Journal of Colloid Interface Science, 265, pp. 202–213 (2003).CrossRefGoogle Scholar
Mukhopadhyay, A., Banerjee, S. and Gupta, C., “Fully Developed Hydrodynamic and Thermal Transport in Combined Pressure and Electrokinetically Driven Flow in a Microchannel with Asymmetric Boundary Conditions,” International Journal of Heat and Mass Transfer, 52, pp. 2145–2154 (2009).CrossRefGoogle Scholar
Wang, L. and Wu, J., “Flow Behaviour in Microchannel Made of Different Materials with Wall Slip Velocity and Electro-Viscous Effects,” Acta Mechanica Sinica, 26, pp. 73–80 (2010).CrossRefGoogle Scholar
Afonso, A. M., Alves, M. A. and Pinho, F. T., “Electro-Osmotic Flow of Viscoelastic Fluids in Microchannels under Asymmetric Zeta Potentials,” Journal of Engineering Mathematics, 71, pp. 15–30 (2012).CrossRefGoogle Scholar
Choi, W. S., Joo, S. W. and Lim, G., “Electroosmotic Flows of Viscoelastic Fluids with Asymmetric Boundary Conditions,” Journal of Non-Newtonian Fluid Mechanics, 187-188, pp. 1–7 (2011).CrossRefGoogle Scholar
Escandon, J., Jimenez, E., Hernandez, C., Bautista, O. and Mendez, F., “Transient Electroosmotic Flow of Maxwell Fluids in Slit Microchannel with Asymmetric Zeta Potentials,” European Journal of Mechanics -B/Fluids, 53, pp. 180–189 (2015).CrossRefGoogle Scholar
Jimenez, E., Escandon, J., Bautista, O. and Mendez, F., “Startup Electroosmotic Flow of Maxwell Fluids in a Rectangular Microchannel with High Zeta Potentials,” Journal of Non-Newtonian Fluid Mechanics, 227, pp. 17–29 (2016).CrossRefGoogle Scholar
Kaushik, P. and Chakraborty, S., “Startup Electroosmotic Flow of a Viscoelastic Fluid Characterized by Oldroyd-B Model in a Rectangular Micro-channel with Symmetric and Asymmetric Wall Zeta Potentials,” Journal of Non-Newtonian Fluid Mechanics, 247, pp. 41–52 (2017).CrossRefGoogle Scholar
Sharma, K. and Bhat, S. V., “Non-Newtonian Rheology of Leukemic Blood and Plasma: are n and k Parameters of Power Law Model Diagnostic?” Physiological Chemistry Physics in Medicine NMR, 24, pp. 307–312 (1992).Google Scholar
Deshiikan, S. R. and Papadopoulos, K. D., “Modified Booth Equation for the Calculation of Zeta Potential,” Colloid Polymerization Science, 276, pp. 117–124 (1998).CrossRefGoogle Scholar