Effects of Reynolds Number On the Wake Characteristics of a Notchback Ahmed Body

Newton F. Ouedraogo, E. Essel
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Abstract

This paper investigates the effects of Reynolds number on the wake characteristics of a notchback Ahmed body with effective backlight angle, βe = 17.8°. The Reynolds number based on the body height was varied from 5 × 103 to 5 × 104. Prior to the Reynolds number investigation, a Reynolds-Averaged Navier-Stokes (RANS) model assessment was performed using nine turbulence models consisting of one- and two-equation eddy-viscosity models and second moment closure models. The standard Spalart-Allmaras model was the only model that accurately predicted the asymmetric time-averaged wake topology, as reported in previous studies, for the βe = 17.8° notchback Ahmed body at Re = 5 × 104. The drag coefficient decreased with increasing Reynolds number, while the lift coefficient remained constant for Re = 1 × 104. The wake structure exhibited three regimes: symmetric (Re = 1 × 104), transitionally asymmetric (1 × 104< Re = 3.5 × 104) and fully asymmetric (Re ≤ 3.5 × 104) states. The wake asymmetry was attributed to an imbalance in entrainment from the side and asymmetric separation from the roof and the C-pillars of the body. The tilting and stretching terms in the vorticity transport equation were used to provide insight into the source of asymmetry in the vorticity field around the body.
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雷诺数对凹背艾哈迈德机体气流特性的影响
本文研究了雷诺数对有效背光角为 βe = 17.8°的凹槽背艾哈迈德机体尾流特性的影响。基于机身高度的雷诺数在 5 × 103 到 5 × 104 之间变化。在研究雷诺数之前,使用九个湍流模型进行了雷诺平均纳维-斯托克斯(RANS)模型评估,这些模型包括一方程和二方程涡粘模型以及第二矩闭合模型。标准 Spalart-Allmaras 模型是唯一能准确预测非对称时均尾流拓扑结构的模型,正如之前的研究中所报告的那样,该模型适用于 Re = 5 × 104 条件下的βe = 17.8° 凹背艾哈迈德体。阻力系数随着雷诺数的增加而减小,而升力系数在 Re = 1 × 104 时保持不变。尾流结构呈现三种状态:对称(Re = 1 × 104)、过渡不对称(1 × 104< Re = 3.5 × 104)和完全不对称(Re ≤ 3.5 × 104)。尾流不对称的原因是来自侧面的夹带不平衡,以及来自车顶和车身 C 柱的分离不对称。涡度传输方程中的倾斜项和拉伸项被用来揭示机体周围涡度场不对称的根源。
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