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Wall friction relations in wall-bounded shear flows
European Journal of Mechanics - B/Fluids ( IF 2.5 ) Pub Date : 2021-04-08 , DOI: 10.1016/j.euromechflu.2021.03.007
E.-S. Zanoun , C. Egbers , H. Nagib , F. Durst , G. Bellani , A. Talamelli

The widespread use of available skin friction relations in engineering and in turbulence research is ample justification to examine their validities and limitations of use. The Prandtl–von Kármán logarithmic friction law (Prandtl, 1932), for instance, is vitally important for decades for predicting wall skin friction. There have been, however, rising concerns regarding its accuracy due to the deficit of the flow similarity assumption adopted in the vicinity of the wall and in the core/outer region of the flow field. Hence, the wall skin friction could possibly be doubtful when predicted using the Prandtl–von Kármán relation, in particular at high Reynolds numbers compared with values obtained from direct measurements. We therefore briefly review the recent advances in the logarithmic friction relation based on the latest pipe, channel, and boundary layer wall friction data over a wide range of Reynolds numbers. Common similarities and differences among those flows, particularly in terms of the mean flow and the wall skin friction data are highlighted. Recent pipe friction relations (Mckeon et al., 2005) are compared with the Prandtl–von Kármán logarithmic friction law and verified with new accurate pipe friction data. A revisited logarithmic skin friction relation for plane-channel flows (Zanoun et al., 2009) is reported, predicting the wall friction with an accuracy of better than ±1.44%. A modified logarithmic skin friction relation for external flows introduced by Nagib et al. (2007) is presented and discussed. We believe that having a concise review and summary of the often used friction relations in wall-bounded shear flows in a single article will be of interest to fluid mechanics readers.



中文翻译:

壁面剪切流中的壁面摩擦关系

在工程和湍流研究中广泛使用可用的皮肤摩擦关系是检查其有效性和使用限制的充分理由。例如,Prandtl–von Kármán 对数摩擦定律(Prandtl,1932)几十年来对于预测壁面摩擦至关重要。然而,由于在壁附近和流场的核心/外部区域采用的流动相似性假设的缺陷,人们对其准确性的担忧日益增加。因此,当使用 Prandtl-von Kármán 关系进行预测时,壁面摩擦可能会令人怀疑,特别是在与直接测量获得的值相比的高雷诺数下。因此,我们基于最新的管道、通道、以及各种雷诺数下的边界层壁摩擦数据。突出显示了这些流动之间的共同相似性和差异,特别是在平均流动和壁面摩擦数据方面。最近的管道摩擦关系(Mckeon 等人,2005 年)与 Prandtl-von Kármán 对数摩擦定律进行了比较,并用新的准确管道摩擦数据进行了验证。重新审视了平面通道流动的对数皮肤摩擦关系 (Zanoun et al., 2009),预测壁面摩擦的准确度优于 2005) 与 Prandtl-von Kármán 对数摩擦定律进行了比较,并用新的准确管道摩擦数据进行了验证。重新审视了平面通道流动的对数皮肤摩擦关系(Zanoun 等人,2009 年),预测壁面摩擦的准确度优于 2005) 与 Prandtl-von Kármán 对数摩擦定律进行了比较,并用新的准确管道摩擦数据进行了验证。重新审视了平面通道流动的对数皮肤摩擦关系(Zanoun 等人,2009 年),预测壁面摩擦的准确度优于±1.44%. Nagib 等人引入的外部流动的修正对数皮肤摩擦关系。(2007) 提出和讨论。我们相信,在一篇文章中对壁面剪切流中常用的摩擦关系进行简要回顾和总结,将会引起流体力学读者的兴趣。

更新日期:2021-04-08
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