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FLUID MECHANICS OF FLOW THROUGH RECTANGULAR HYDROPHOBIC MICROCHANNELS

机译:流过矩形疏水微通道的流体力学

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In this study, the effect of two important parameters have been evaluated for pressure driven liquid flows in microchannel in laminar regime by analytical modeling, followed by experimental measurement. These parameters are wettability conditions of microchannel surfaces and aspect ratio of rectangular microchannels. For small values of aspect ratio, the channel was considered to have a rectangular cross-section, instead of being two parallel plates. Novel expressions for these kinds of channels were derived using eigenfunction expansion method. The obtained two-dimensional solutions based on dual finite series were then extended to the case of a constant slip velocity at the bottom wall. In addition, for large values of aspect ratio, a general equation was obtained which is capable of accounting for different values of slip lengths for both upper and lower channel walls. Firstly, it was found out that for low aspect ratio microchannels, the results obtained by analytical rectangular 2-D model agree well with the experimental measurements as compared to one dimensional solution. For high aspect ratio microchannels, both models predict the same trend. This finding indicates that using the conventional 1-D solution may not be accurate for the channels where the width is of the same order as the height. Secondly, experimental results showed that up to 2.5% and 16% drag reduction can be achieved for 1000 and 250 micron channel height, respectively. It can be concluded that increasing the surface wettability can reduce the pressure drop in laminar regime and the effect is more pronounced by decreasing the channel height.
机译:在这项研究中,通过分析建模,然后通过实验测量,评估了层流状态下微通道中压力驱动的液体流动的两个重要参数的影响。这些参数是微通道表面的润湿性条件和矩形微通道的长宽比。对于宽高比较小的值,该通道被认为具有矩形横截面,而不是两个平行板。使用本征函数展开法推导了此类通道的新颖表达。然后将基于对偶有限级数获得的二维解扩展到底壁处滑动速度恒定的情况。另外,对于宽高比较大的值,获得了一个通用方程,该通用方程能够说明上下通道壁的滑移长度的不同值。首先,发现对于低纵横比的微通道,与一维解相比,矩形二维分析模型获得的结果与实验测量结果吻合良好。对于高长宽比的微通道,两个模型都预测相同的趋势。该发现表明,对于宽度与高度相同数量级的通道,使用常规的1-D解决方案可能并不准确。其次,实验结果表明,在1000和250微米的通道高度下,阻力降低分别高达2.5%和16%。可以得出结论,增加表面润湿性可以减少层流状态下的压降,并且通过减小通道高度可以更明显地体现出这种效果。

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