Abstract There are many offshore applications that incorporate vertical cylindrical-shaped structural elements such as marine risers, TLP tendons and near shore pier designs. A better understanding of complex wake flows on the drag dominated force predictions is very much of interest for offshore design problems. This study investigates the Huse-Muren analytical wake model, whose mathematical formulation was founded on the earlier definitive studies of Prandtl and Schlichting. Developing a deeper understanding of their key findings that were based upon central assumptions and key approximations is central to this research. Analysis of their model leads to the development of dimensionless expressions for the drag coefficient correction ratio. Both the DNV-RP recommended drag force coefficients and some of Sarpkaya's U-tube measurements are used to investigate whether their analytical model could be used to bound the experimental data. The Keulegan-Carpenter number, A 0 / D ratios, Sarpkaya's Beta parameter and Reynold's number are used to interpret the range of model applicability. For the current cross flow case, variables identified in Huse and Muren's formulation lead to a dimensionless expression involving the period of in-line oscillation and the velocity of the cross-current resulting in a parameter similar to the Keulegan-Carpenter number. The ratio of this parameter to the Keulegan-Carpenter number allows one to address the drag coefficient correction ratio where a cylinder is simultaneously subjected to in-line oscillatory flow and a steady cross current coming from the transverse direction. A numerical simulation is performed to investigate the behavior of the correction ratio in this flow condition, and the results are presented and discussed.

中文翻译：

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关于与垂直海上圆柱体的尾流相互作用的 Huse-Muren 模型

摘要 有许多海上应用包含垂直圆柱形结构元件，例如海洋立管、TLP 钢筋束和近岸码头设计。对于海上设计问题，更好地理解基于阻力主导的力预测的复杂尾流是非常有趣的。本研究调查了 Huse-Muren 分析尾流模型，该模型的数学公式建立在 Prandtl 和 Schlichting 的早期明确研究的基础上。深入了解他们基于中心假设和关键近似的关键发现是这项研究的核心。对他们的模型的分析导致了阻力系数修正比的无量纲表达式的发展。DNV-RP 推荐的阻力系数和一些 Sarpkaya' ■ U 型管测量用于研究其分析模型是否可用于限定实验数据。Keulegan-Carpenter 数、A 0 / D 比、Sarpkaya Beta 参数和雷诺数用于解释模型适用范围。对于当前的横流情况，在 Huse 和 Muren 的公式中确定的变量导致无量纲表达式，涉及在线振荡周期和横流速度，从而产生类似于 Keulegan-Carpenter 数的参数。该参数与 Keulegan-Carpenter 数的比率允许人们解决阻力系数校正比率，其中圆柱同时受到在线振荡流和来自横向的稳定横向流。