Effect of shear thinning on superhydrophobic slip: Perturbative corrections to the effective slip length
Effect of shear thinning on superhydrophobic slip: Perturbative corrections to the effective slip length
复制标题
剪切稀化对超疏水滑移的影响：有效滑移长度的微扰修正
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
D. Crowdy
中科院分区：
文献类型：
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作者：
D. Crowdy
本文推导了在单向超疏水平面无剪切缝上的纵向和横向半无限剪切流中弱剪切稀化Carreau-Yasuda流体的有效滑移长度的一阶修正的解析表达式。的公式，这是使用适当的推广形式的标准互易定理斯托克斯流，给出了显式积分，只需要数值求积的评价。对于纵向和横向流动，我们发现，对于一个给定的无剪切分数的超疏水表面，和一个给定的幂律指数表征的Carreau-Yasuda流体，有一个临界施加的应变速率的剪切，在该剪切的有效滑移的增强是最大的。理论结果与其他作者最近的横向情况下的数值工作定性一致。
Analytical expressions are derived for the first order correction to the effective slip length of a weakly shear-thinning Carreau-Yasuda fluid in both longitudinal and transverse semi-infinite shear flow over a unidirectional superhydrophobic surface of flat no-shear slots. The formulas, which are derived using suitably generalized forms of the standard reciprocal theorem for Stokes flow, are given by explicit integrals which require only numerical quadrature for their evaluation. For both longitudinal and transverse flow we find that for a given no-shear fraction of the superhydrophobic surface, and a given power-law index characterising the Carreau-Yasuda fluid, there is a critical imposed strain rate of the shear at which the enhancement of effective slip is maximal. The theoretical results are qualitatively consistent with recent numerical work by other authors for the transverse case.
影响因子：
4.6
作者：
D. Crowdy
通讯作者：
D. Crowdy