Influence of the stability of boundary vortex on drag reduction induced by transverse V-grooves

IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL
Zhiping Li, Long He, Tianyu Pan, Yao Yin, Shaobin Li, Wei Yuan, Bo Meng
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Abstract

Previous studies revealed the skin-friction drag reduction properties induced by transverse grooves. However, the effects of unsteady characteristics of vortices within the grooves on the drag reduction properties have not been investigated. A hypothesis that the unsteady motion of vortices may reduce the friction drag-reduction rate induced by transverse V-grooves is proposed in this paper. To verify this hypothesis, we use the LES (large eddy simulation) method to investigate the flow field in the range of Reynolds number 0.5E5 to 7.5E5 over the different profiles of symmetric V-grooves, whose depths are 0.2 mm and AR’s are 0.5, 1, 2, 5, and 8. The results show that the AR (aspect ratio of a transverse groove) affects the stability of boundary vortices, thus driving the variation of total viscous drag and pressure drag. With the increase of AR, the boundary vortices tend to be stable at first and then gradually become unstable. When AR is 2, the boundary vortices are stable within the grooves, corresponding to optimal drag reduction. In this case, the slip velocities induced by boundary vortices are the largest, and the Reynolds shear stress is the least, suggesting that the grooves have the strongest abilities to reduce the total viscous drag. When the stability of the boundary vortices is broken, a larger area containing high pressure and low pressure is formed in the groove, and the difference also becomes greater between the high pressure and low pressure. The results provide improved understandings of the drag reduction mechanism of transverse grooves.

Graphical Abstract

边界涡稳定性对横向v型槽减阻的影响
先前的研究揭示了横向沟槽诱导的表面摩擦减阻特性。然而,槽内涡的非定常特性对减阻性能的影响尚未得到研究。提出了涡的非定常运动可以降低横向v型槽引起的摩擦减阻率的假设。为了验证这一假设,我们使用LES(大涡模拟)方法研究了不同形状的对称v型槽,其深度为0.2 mm, AR为0.5,1,2,5和8,雷诺数为0.55 e5至7.5E5范围内的流场。结果表明,横向沟槽展弦比影响边界涡的稳定性,从而驱动总粘性阻力和总压力阻力的变化。随着反射率的增大,边界涡先趋于稳定,然后逐渐变得不稳定。当AR = 2时,槽内边界涡稳定,相应的减阻效果最佳。在这种情况下,边界涡诱导的滑移速度最大,而雷诺数剪切应力最小,说明凹槽减小总粘滞阻力的能力最强。当边界涡的稳定性被打破时,在槽内形成更大的包含高压和低压的区域,高压和低压之间的差异也变得更大。研究结果提高了对横向沟槽减阻机理的理解。图形抽象
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来源期刊
The European Physical Journal E
The European Physical Journal E CHEMISTRY, PHYSICAL-MATERIALS SCIENCE, MULTIDISCIPLINARY
CiteScore
2.60
自引率
5.60%
发文量
92
审稿时长
3 months
期刊介绍: EPJ E publishes papers describing advances in the understanding of physical aspects of Soft, Liquid and Living Systems. Soft matter is a generic term for a large group of condensed, often heterogeneous systems -- often also called complex fluids -- that display a large response to weak external perturbations and that possess properties governed by slow internal dynamics. Flowing matter refers to all systems that can actually flow, from simple to multiphase liquids, from foams to granular matter. Living matter concerns the new physics that emerges from novel insights into the properties and behaviours of living systems. Furthermore, it aims at developing new concepts and quantitative approaches for the study of biological phenomena. Approaches from soft matter physics and statistical physics play a key role in this research. The journal includes reports of experimental, computational and theoretical studies and appeals to the broad interdisciplinary communities including physics, chemistry, biology, mathematics and materials science.
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