Colloids and Surfaces A: Physicochem. Eng. Aspects 374 (2011) 142–153
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Colloids and Surfaces A: Physicochemical and
Engineering Aspects
journal homepage: www.elsevier.com/locate/colsurfa
Numerical analysis of mixed electroosmotic/pressure driven flow of power-law
fluids in microchannels and micropumps
Mohammad Hadigol
∗
, Reza Nosrati, Mehrdad Raisee
Department of Mechanical Engineering, Faculty of Engineering, University of Tehran, Tehran, Iran
article info
Article history:
Received 13 August 2010
Received in revised form 14 October 2010
Accepted 28 October 2010
Available online 5 November 2010
Keywords:
Finite volume scheme
Power-law fluid
Microfluidics
Mixed electroosmotic/pressure driven flow
abstract
Mixed electroosmotic/pressure driven (EO/PD) flow of power-law fluids in microchannels and microp-
umps is analyzed using a numerical scheme based on the finite volume formulation. Effects of the fluid
behavior index (n), zeta potential and electric double layer (EDL) thickness are investigated on character-
istics of pure EO and mixed EO/PD flow of power-law fluids in microchannels and micropumps. Results
show that the velocity profile becomes more plug-like as the fluid behavior index, decreases. Concerning
EO micropumping of power-law fluids, it was found that higher volumetric flow rates can be expected
in EO micropumping of pseudoplastic fluids (n < 1). It was observed that increase in zeta potential or
decrease in EDL thickness results in higher pressure rise and volumetric flow rate of EO micropumping
of pseudoplastic fluids, while these changes do not have considerable effects on pressure rise and the
volumetric flow rate of EO micropumping of dilatant fluids (n > 1). Moreover, pressure rise of power-law
fluid in a closed system (zero net flow rate) under the influence of EO forces was studied and it was
revealed that a higher pressure rise can be generated as the fluid behavior index decreases.
© 2010 Elsevier B.V. All rights reserved.
1. Introduction
In recent years, micro-electro-mechanical systems (MEMS)
have been the topic of extensive research due to increasing
demands for transport of biofluids through lab-on-a-chip based
microsystems in biomedical and biotechnological applications.
MEMS-fluidics is classified as MEMS devices which involve fluid
transportation. Microchannels and micropumps, as the significant
parts of MEMS-fluidics, have characteristic dimensions in range of
micrometer. These devices are not simply scale-down version of
the conventional ones because the fluid behavioral at microscale
can be significantly different compare to macroscale. For exam-
ple, electrokinetic and surface tension effects become dominate at
microscale. A good understanding of fluid flows in these microscale
channels and pumps can contribute to the design of more efficient
and accurate MEMS devices [1–8].
While in most conventional applications liquid flows are derived
by applying a pressure difference along the flow direction, impos-
ing an electric field to liquid carrying free charges is a practical
method for transporting liquids in micro- and nanochannels. The
former method is known as PD flow, whilst the latter one is the
∗
Corresponding author at: Department of Mechanical Engineering, Faculty of
Engineering, University of Tehran, P.O. Box: 11365/4563, Tehran, Iran.
Tel.: +98 21 88337123; fax: +98 21 88013029.
E-mail address: Hadigol@ut.ac.ir (M. Hadigol).
EO flow. EO flow enables variety of micro- and nano-fluidic sys-
tems such as pumps, mixers, and valves, which can be utilize in
biology, medicine, biochips and other high level technologies. EO
flow enjoys numerous advantages, including ease of fabrication and
control, no need for moving parts, high reliability, and no noise.
Comprehensive reviews of EO micropumping can be found in Laser
and Santiago [9].
Biofluids, which exhibit non-Newtonian fluid flow behavior, are
often used in MEMS-fluidics. Due to the importance of Bio-MEMS
and lab-on-a-chip technologies, many researchers have recently
focused on non-Newtonian fluid behavior of biofluids in electroki-
netically driven flows. For example, Das and Chakraborty [10]
obtained an analytical solution, describing the transport character-
istics of a non-Newtonian fluid flow in a rectangular microchannel,
under the sole influence of electrokinetic effects. As an illustrative
case study, they analyzed the flow behavior of a blood sample.
Zhao et al. [11] analyzed EO flow of power-law fluids in a slit
microchannel by introducing exact and approximate analytical
expressions for the shear stress, effective viscosity and velocity
profile distribution. Akgul and Pakdemirli [12] presented analytical
and numerical solutions for EO flow of a third grade fluid between
micro-parallel plates. They analyzed influences of non-Newtonian
parameter, Joule heating effect, viscosity index and electrokinetic
effect on the velocity and temperature profiles. Berli and Olivares
[13] introduced a theoretical description of the electrokinetic flow
of non-Newtonian fluids through slit and cylindrical microchan-
nels. Tang et al. [14] reported a numerical study of the flow behavior
0927-7757/$ – see front matter © 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.colsurfa.2010.10.045