Effective slip lengths for longitudinal shear flow over partial-slip circular bubble mattresses

Effective slip lengths for longitudinal shear flow over partial-slip circular bubble mattresses
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部分滑移圆形气泡床垫上纵向剪切流的有效滑移长度

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
D. Crowdy
D. Crowdy
中科院分区:
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作者:
D. Crowdy

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本文用作者最近提出的一种新的变换格式,准解析地求解了有部分滑移和突出角为90 °的圆形气泡垫上的纵向剪切流问题。一般的方法可以很容易地适应其他混合边值问题。从分析明确的近似有效滑移长度被发现作为一个函数的Navier滑移参数和面积分数的表面覆盖的突起。滑移长度的这些新的近似公式统一并扩展了Ng和Wang最近给出的基于经验多项式拟合的数值数据的近似公式(2011 Fluid Dyn. Res. 43 065504)。
The problem of longitudinal shear flow over a circular bubble mattress with partial slip and protrusion angle 90o is solved in a quasi-analytical fashion by a novel transform scheme recently devised by the author. The general approach can be readily adapted to other mixed boundary value problems. From the analysis explicit approximations for the effective slip lengths are found as a function of the Navier-slip parameter and the area fraction of the surface covered by protrusions. These new approximation formulas for the slip lengths both unify and extend those based on empirical polynomial fits to numerical data given recently by Ng and Wang (2011 Fluid Dyn. Res. 43 065504).
DOI: 10.1063/1.3531683
发表时间: 2010-12
期刊: Physics of Fluids
影响因子: 4.6
作者:
D. Crowdy
通讯作者: D. Crowdy