Alam Md Mahbub, Meyer J P
Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria, South Africa.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Nov;84(5 Pt 2):056304. doi: 10.1103/PhysRevE.84.056304. Epub 2011 Nov 9.
Cylindrical structures in a group are frequently seen on land and in the ocean. Mutual flow interaction between the structures makes the wake very excited or tranquil depending on the spacing between the structures. The excited wake-enhancing forces in some cases cause a catastrophic failure of the structures. This paper presents results of an experimental investigation of Strouhal number (St), time-mean, and fluctuating forces on, and flow structures around, two identical circular cylinders at stagger angle α = 0°-180° and gap-spacing ratio T/D=0.1-5, where T is the gap width between the cylinders, and D is the diameter of a cylinder. While forces were measured using a load cell, St was from spectral analysis of fluctuating pressures measured on the side surfaces of the cylinders. A flow visualization test was conducted to observe flow structures around the cylinders. Based on forces, St, and flow structures, 19 distinct flow categories in the ranges of α and T/D investigated are observed, including one quadristable flow, three kinds of tristable flows, and four kinds of bistable flows. The quadristable, tristable, and bistable flows ensue from instabilities of the gap flow, shear layers, vortices, separation bubbles, and wakes, engendering a strong jump or drop in forces and St of the cylinders. The two cylinders interact with each other in six different mechanisms, namely interaction between boundary layer and cylinder, shear layer or wake and cylinder, shear layer and shear layer, vortex and cylinder, vortex and shear layer, and vortex and vortex. While the interaction between vortex and cylinder results in a very high fluctuating drag, that between vortex and shear layer results in a high fluctuating lift. On the other hand, the interaction between shear layer or wake and cylinder weakens mean and fluctuating forces and flow unsteadiness. A mutual discussion of forces, St, and flow structures is presented in this paper.
成组的圆柱形结构在陆地和海洋中都很常见。这些结构之间的相互流动相互作用会使尾流根据结构之间的间距而变得非常活跃或平静。在某些情况下,活跃的尾流增强力会导致结构发生灾难性故障。本文给出了关于斯特劳哈尔数(St)、时间平均力和脉动作用力以及两个相同圆柱体在交错角α = 0° - 180°和间隙间距比T/D = 0.1 - 5时周围流动结构的实验研究结果,其中T是圆柱体之间的间隙宽度,D是圆柱体的直径。使用测力传感器测量力,而St是通过对圆柱体侧面测量的脉动压力进行频谱分析得到的。进行了流动可视化试验以观察圆柱体周围的流动结构。基于力、St和流动结构,在所研究的α和T/D范围内观察到19种不同的流动类别,包括一种四稳态流动、三种三稳态流动和四种双稳态流动。四稳态、三稳态和双稳态流动源于间隙流、剪切层、涡旋、分离泡和尾流的不稳定性,导致圆柱体的力和St出现强烈的跃升或下降。两个圆柱体以六种不同的机制相互作用,即边界层与圆柱体之间的相互作用、剪切层或尾流与圆柱体之间的相互作用、剪切层与剪切层之间的相互作用、涡旋与圆柱体之间的相互作用、涡旋与剪切层之间的相互作用以及涡旋与涡旋之间的相互作用。虽然涡旋与圆柱体之间的相互作用会导致非常高的脉动阻力,但涡旋与剪切层之间的相互作用会导致很高的脉动升力。另一方面,剪切层或尾流与圆柱体之间的相互作用会削弱平均力、脉动作用力和流动的非定常性。本文对力、St和流动结构进行了相互讨论。