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首页> 外文期刊>International Journal of Heat and Mass Transfer >Optimization analysis of fractal tree-like microchannel network for electroviscous flow to realize minimum hydraulic resistance
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Optimization analysis of fractal tree-like microchannel network for electroviscous flow to realize minimum hydraulic resistance

机译：分形树状微通道网络的电粘性流优化分析以实现最小水力阻力

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摘要

As a significant principle to guide the optimization design of fractal tree-like network, Murray’s law is obtained under the assumption of neglecting surface charge at the solid-liquid interface. However, surface charge should be considered due to the surface charge-induced electroviscous effect on the fluid flow over the microanoscale. The present work carries out the optimization analysis of fractal tree-like microchannel network for electroviscous flow to realize minimum hydraulic resistance under the constraint of constant channel volume by considering the surface charge. It is found that the surface charge significantly modifies the conventional Murray’s law. Both zeta potential to manifest surface charge and microchannel radius make non-monotonic effects on the optimal radius ratio between the daughter channel and the parent channel for the electroviscous flow in the fractal tree-like microchannel network to achieve a minimum hydraulic resistance. These non–monotonic effects are related to the apparent electro-viscosity in the microchannel with different channel radius and different zeta potential. Additionally, the optimal radius ratio is found to be linearly dependent on both the ratio of apparent electro-viscosities of electroviscous flow in the microchannels at the two successive branching levels and the length ratio of the microchannels at two successive branching levels.
机译：作为指导分形树状网络优化设计的重要原则，穆雷定律是在固液界面处忽略表面电荷的前提下得出的。但是，应考虑表面电荷，因为表面电荷诱导的电粘性效应会影响微/纳米尺度上的流体流动。本文通过考虑表面电荷，在恒定通道体积的约束下，对电粘性流的分形树状微通道网络进行优化分析，以实现最小的水力阻力。发现表面电荷显着改变了传统的默里定律。表现表面电荷的zeta电位和微通道半径都对分形树状微通道网络中电粘性流的子通道和父通道之间的最佳半径比产生非单调影响，以实现最小的水力阻力。这些非单调效应与具有不同通道半径和不同ζ电势的微通道中的表观电粘度有关。另外，发现最佳半径比与两个连续分支水平处的微通道中的电粘性流的表观电粘度之比和两个连续分支水平处的微通道的长度比均线性相关。

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