Zheng Jiaxuan, Wang Jialu, Jian Yongjun
College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China.
Center for Applied Mathematical Science, Hohhot 010022, China.
Micromachines (Basel). 2023 Apr 27;14(5):949. doi: 10.3390/mi14050949.
In this article, electro-osmotic thrusters (EOTs), which are full of non-Newtonian power-law fluids with a flow behavior index of the effective viscosity, are theoretically investigated in a microchannel. Different values of the flow behavior index represent two kinds of non-Newtonian power-law fluids, pseudoplastic fluids ( < 1) and dilatant fluids ( > 1), which have not yet been considered to be used as propellants in micro-thrusters. Analytical solutions of the electric potential and flow velocity are obtained using the Debye-Hückel linearization assumption and the approximate scheme of hyperbolic sine function. Then, thruster performances of power-law fluids, including specific impulse, thrust, thruster efficiency, and thrust-to-power ratio, are explored in detail. Results show that these performance curves strongly depend on the flow behavior index and electrokinetic width. It is noted that the non-Newtonian pseudoplastic fluid is most suitable as a propeller solvent in micro electro-osmotic thrusters owing to its improving or optimizing deficiencies in the performances of the existing Newtonian fluid thrusters.
在本文中，对微通道内充满具有有效粘度流动行为指数的非牛顿幂律流体的电渗推进器（EOTs）进行了理论研究。流动行为指数的不同值代表两种非牛顿幂律流体，即假塑性流体（<1）和膨胀性流体（>1），它们尚未被考虑用作微推进器中的推进剂。利用德拜 - 休克尔线性化假设和双曲正弦函数的近似方案获得了电势和流速的解析解。然后，详细探讨了幂律流体的推进器性能，包括比冲、推力、推进器效率和推力功率比。结果表明，这些性能曲线强烈依赖于流动行为指数和电动宽度。值得注意的是，非牛顿假塑性流体由于改善或优化了现有牛顿流体推进器性能方面的不足，最适合作为微电渗推进器中的推进剂溶剂。
