Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces
Perturbation analysis of subphase gas and meniscus curvature effects for longitudinal flows over superhydrophobic surfaces
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超疏水表面纵向流动的面相气体和弯月面曲率效应的扰动分析
DOI：
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发表时间：
2017
影响因子：
3.7
通讯作者：
D. Crowdy
中科院分区：
文献类型：
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作者：
D. Crowdy
在假定弯月面曲率较小且沟槽捕获的亚相气体与工质的粘性反差较大的假设下，确定了具有矩形沟槽的单向超疏水表面上纵向流动有效滑移长度的一阶修正积分表达式。同时考虑了压力驱动的槽道流动和半无限剪切流动。互易思想，基于格林第二恒等式的使用，提供了依赖于Philip(Z.Angew)发现的已知平弯月面解的被积函数的积分表达式。数学课。《物理学》，第23卷，1972年，第353-372页)。这一结果推广了Sbragaglia&Properetti(Phys.流体，第19卷，2007年，043603)关于弱弯月面曲率如何影响流体动力滑移。特别地，我们推导了由于弱弯月面曲率引起的一阶滑移长度修正的新的积分表达式。
Integral expressions for the first-order correction to the effective slip length for longitudinal flows over a unidirectional superhydrophobic surface with rectangular grooves are determined under the assumptions that the meniscus curvature is small and the viscosity contrast between the groove-trapped subphase gas and the working fluid is significant. Both pressure-driven channel flows and semi-infinite shear flows are considered. Reciprocity ideas, based on use of Green’s second identity, provide the integral expressions with integrands dependent on known flat-meniscus solutions found by Philip (Z. Angew. Math. Phys., vol. 23, 1972, pp. 353–372). The results extend earlier work by Sbragaglia & Prosperetti (Phys. Fluids, vol. 19, 2007, 043603) on how weak meniscus curvature affects hydrodynamic slip. In particular, we derive a new integral expression for the first-order slip length correction due to weak meniscus curvature.
影响因子：
4.6
作者：
D. Crowdy
通讯作者：
D. Crowdy