| Summary: | 碩士 === 國立臺灣大學 === 應用力學研究所 === 95 === This study focuses on the stability system formulation of plane
double-layered flows with different conductivities between two electrodes
under external applied perpendicular electric field. In microfluidic mixers,
it is quite inefficient to drive fluids by the mean of pressure gradient, and
the micro channel could not sustain large internal pressure due to structure
weakness under such small scale. Thus, driving the fluids with external
electric field is more preferable. Also, the Reynolds number in the micro
channels is usually very small, making the flows laminar. Under such
condition, the mixing within the flows could only be done by molecule
diffusion. In order to enhance the mixing, external electric field could help
making the flows become turbulence.
Compared to single-fluid flows, there exists a fluid interface in
double-layered flows. This interface plays a crucial role in mixing
problems. The mixing could be enhanced if the instability of this interface
is raised. The external applied electric field and the double-layered flows
are coupled with Leaky Dielectric Model on the interface in this study.
Starting with the most fundamental equations, including Navier-Stoke
equations, continuity and voltage potential equations, small amplitude
perturbation and further simplifications will be done, in order to obtain a
set of perturbation equations for further stability analysis of the
double-layered flows.
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