1 Copyright © 2008 by ASME
Proceeding of MNHT2008
Micro/Nanoscale Heat Transfer International Conference
January 6-9, 2008, Tainan, Taiwan
MNHT2008-52178
Numerical Simulation of Fluid Mixing in the Ribbed Microchannels
V. Esfahanian
School of mechanical engineering
University of Tehran, Iran
evahid@ut.ac.ir
F. Kowsary
School of mechanical engineering
University of Tehran, Iran
fkowsari@ut.ac.ir
M. Rezaei Barmi
School of mechanical engineering
University of Tehran, Iran
mrezaeibarmi@ut.ac.ir
N. Noroozi
School of mechanical engineering
University of Tehran, Iran
nadernoroozi@ut.ac.ir
ABSTRACT
Micromixers have received much interest as essential part
of microfluidic devices. Therefore, enhancement of mixing
quality has gained a lot of attention in recent years. In the
present study, improvement of mixing quality for two different
miscible liquids is considered in passive micromixers.
Numerical approach is based on a second order finite volume
Jameson scheme in order to solve two dimensional
incompressible Navier-Stocks and mass transport equations by
implementing artificial compressibility. Mixing quality is
influenced by Reynolds and Schmitt numbers as well as size
and location of the ribs. Diffusion mechanism has the main role
for mixing in micro scale fluid flows; therefore, increasing
Peclet number leads to extend mixing time. In order to enhance
mixing quality, ribs are used in different locations through the
microchannel which cause more instability in the fluid flow and
leads to a better mixing. The Reynolds number is constant
while the Schmitt number is in the range of 10 to 100.
However, in order to laminar fluid flow, ribs just have an
influence near itself and faraway, mixing mechanism return to
earlier state. Therefore, in low Reynolds numbers they have no
effective influence. When Reynolds number increase, flow
instability that is created by different ribs leads to a better
mixing.
INTRODUCTION
The importance of microfluidic and nanofluidic devices has
increased in the recent years. In order to complicate and costly
construction of devices in the small scales, need to modeling
and simulation of phenomena before construction is appeared
necessary. Microfluidic devices have diverse parts which do
special task. Micromixers play a significant role in micro
chemical processing and are employed in a multitude of tasks,
including blending, emulsification and suspension, as well as
for chemical reaction and also in combination with integrated
heat exchangers. Due to the small dimensions of the
microchannels, the flow is mostly laminar and mixing is
therefore limited by molecular diffusion. Some biological
analysis requires to be completely mixed before the reaction
has carried out considerably; therefore, simulation and
optimization of micromixer with minimum mixing time or
length before construction is necessitated.
Due to the relatively young age of microreactor
engineering, common design rules for micromixers have not
yet been developed. However, one can see that apart from their
minute size, microreactors are just continuous laminar flow
reactors, which suggests that design approaches for mixing in
microchannels could be dealt with in a similar manner to that of
laminar mixing in macro scale pipe flow. In the laminar flow,
the streamlines are parallel and there is no convective mixing in
the radial or tangential directions. Thus in order to disturb the
flow and facilitate mixing in laminar pipeline flow, in-line
devices or static mixers is inserted into the microchannel. The
design of micromixers, which are comparatively similar
devices at a much smaller scale, can be looked at in the same
manner, whereby the aim is to provide sufficient spatial and
temporal mixing as fast as possible.
Over the past few years, several studies using different
types of micromixers have been performed with the focus on
characterizing the micromixer performance using various
experimental techniques, such as fluorescent microscopy and
special chemical reactions, as well as computational fluid
dynamic simulations to draw species trajectories [1-7].
In the present work, numerical simulation of fluid mixing in
the two dimensional micromixers using finite volume Jameson
scheme is investigated. Therefore, two dimensional Navier-
Stocks equations are solved by applying artificial