Derivation of Mathematical Model of the Immiscible Superposed Flows with Different Electric Conductivities

• Main Authors: Keh-Hsi Liao, 廖克曦
• Other Authors: Falin Chen
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/79893227493246607502

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.