管道湍流摩擦阻力研究成就与启示

doi:10.16046/j.cnki.issn2096-5680.2023.01.010

河北水利电力学院学报 ›› 2023, Vol. 33 ›› Issue (1): 56-61.DOI: 10.16046/j.cnki.issn2096-5680.2023.01.010

管道湍流摩擦阻力研究成就与启示

赵聿章¹, 何发龙²

1.宾州州立大学计算机工程系,美国宾西法尼亚州帕克校区老主楼 20116802;
2.天津城建大学安全工程系,天津市西青区津静公路26号 300384

收稿日期:2022-11-13 修回日期:2022-11-25 发布日期:2023-10-26
通讯作者: 何发龙(1988-),男,安徽含山人,讲师,主要研究方向:多相热流体动力学基础与应用研究。E-mail:hefalong@tcu.edu.cn
作者简介:赵聿章(2000-),男,北京人,主要研究方向:计算机工程、数据分析和科学史。E-mail:yuzhangzhao@gmail.com
基金资助:
天津市教委科研计划项目(2020KJ043)资助

Achievements and Enlightenment on Frictional Resistance of Turbulent Flow in Pipes

ZHAO Yu-zhang¹, HE Fa-long²

1. Department of Computer Engineering, Penn State University, 16802, Pennsylvania, USA;
2. Department of Safety Engineering, Tianjin Chengjian University, 300384, Tianjin, China

Received:2022-11-13 Revised:2022-11-25 Published:2023-10-26

摘要/Abstract

摘要： 对管道流动阻力的准确预测是包括水利工程在内诸多工业过程设计和运行控制中基本但关键的要求之一。文中以管道湍流摩擦因子为主要对象,详尽梳理了雷诺相似准则与勃拉修斯公式、普朗特混合长度假设与普朗特-冯·卡门-尼古拉斯公式以及科尔布鲁克公式的发现历程,强调了物理思想创新的引领和指导作用。文中特别就科尔布鲁克公式自身的经验本质展开了讨论,以便正确使用和诠释其预测结果。此外,我们简要介绍了在该领域中国的贡献,从外国人在华的工作、华人在国外的工作到中国人在国内的工作,某种意义上反映了现代科学在国内的传播和发展历程,昭示着中国科学的光明前景。

关键词: 管道湍流, 摩擦因子, 雷诺相似准则, 勃拉修斯公式, 普朗特-冯·卡门-尼古拉斯公式, 科尔布鲁克公式, 中国贡献

Abstract: The accurate prediction of flow resistance in pipes is one of the basic yet key requirements for the design and operation of many industrial processes, including hydraulic engineering projects.Focusing upon the turbulent friction factors in pipes, we review comprehensively the discovery processes of Reynolds similarity criterion and Blasius formula, Prandtl mixing length hypothesis and Prandtl-von Karman-Nikuradse formula, and Colebrook formula. The leading and guiding role of the innovation of physical thought is emphasized. We discuss in detail the empirical nature of Colebrook formula in order to correctly use and interpret its prediction. In addition, we introduce China’s contributions to this subject, including foreigner’s work in China, Chinese's work abroad, and work of Chinese in China, of which the trend in a sense reflects the spread and progress of modern science in China, and shows the bright future of science in China.

Key words: turbulent flow in pipes, friction factor, reynolds similarity criterion, blasius formula, Prandtl-von Karman-Nikuradse formula, colebrook formula, China’s contributions

中图分类号:

O357.5
TV134

赵聿章, 何发龙. 管道湍流摩擦阻力研究成就与启示[J]. 河北水利电力学院学报, 2023, 33(1): 56-61.

ZHAO Yu-zhang, HE Fa-long. Achievements and Enlightenment on Frictional Resistance of Turbulent Flow in Pipes[J]. Journal of Hebei University of Water Resources and Electric Engineering, 2023, 33(1): 56-61.

参考文献

[1] 戴念祖.中国力学史[M].石家庄:河北教育出版社,1988.
[2] 武际可.近代力学在中国的传播与发展[M].北京:高等教育出版社,2005.
[3] O. Darrigol. Between hydrodynamics and elasticity theory: the first five births of the Navier-Stokes equation [J]. Arch. Hist. Exact Sci.,2002,56(2):95-150.
[4] O. Reynolds. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels [J]. Phil. Trans. Roy. Soc. London A, 1883,174:935-982.
[5] H.Blasius.Das Ähnlichkeitsgesetz bei Reibungsvorgängenin Flüssigkeiten [J]. VDI Forschungsh, 1913,131:1-41.
[6] M. Eckert. Ludwig Prandtl and the growth of fluid mechanics in Germany [J]. Comp. Ren. Mecanique, 2017,345:467-476.
[7] F.M. White. Fluid Mechanics (7th ed.) [M]. New York: McGraw-Hill, 2011.
[8] C.F. Colebrook. Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws [J]. J. Inst. Civil Eng., 1938/1939,11(4):133-156.
[9] L.普朗特著,郭永怀、陆士嘉译.流体力学概论[M].北京:科学出版社,1981.
[10] C.F. Colebrook, T. Blench, H. Chatley, et al. Correspondence. [J]. J. Inst. Civil Eng., 1939,12(8):393-422.
[11] H. Chatley. Measurement of river bores[J]. Nature,1930,138:207.
[12] H. Chatley. Obituary, Herbert Chatley, D.Sc.(Eng.),1885-1955[J]. Proc. Inst. Civil Eng.,1955,4(4):632-633.
[13] L. Zeghadnia, J.L. Robert, B. Achour. Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification [J]. Ain Shams Eng. J., 2019,10(1):243-252.
[14] N.X. Chen. An explicit equation for friction factor in pipe [J]. Ind.Eng. Chem. Fund., 1979,18(3):296-297.
[15] X.D. Fang, Y. Xu, Z.R. Zhou. New correlations of single-phase friction factor for turbulent pipe flow and evaluation of existing single-phase friction factor correlations [J]. Nucl. Eng. Des., 2011,241:897-902.
[16] M.M. Shaikh, S.U.R. Massan, A.I. Wagan. A new explicit approximation to Colebrook’s friction factor in rough pipes under highly turbulent cases[J]. Int. J. Heat Mass Transfer,2015,88:538-543.
[17] S.W. Churchill. Friction-factor equation spans all fluid-flow regimes [J]. Chem. Eng., 1977,7:91-92.
[18] D.D. Joseph, B.H. Yang. Friction factor correlations for laminar, transition and turbulent flow in smooth pipes [J]. Phys. D, 2010,239:1318-1328.
[19] G. Gioia, P. Chakraborty. Turbulent Friction in Rough Pipes and the Energy Spectrum of the Phenomenological Theory[J]. Phys. Rev. Lett., 2005,96(4):044502.
[20] G. Gioia, N. Guttenberg, N. Goldenfeld, et al. Spectral Theory of the Turbulent Mean-Velocity Profile[J]. Phys. Rev. Lett.,2010,105(18):184501.
[21] A.N. Kolmogorov. Local structure of turbulence in an incompressible viscous fluid at very high Reynolds number [J]. Dokl. Akad. Nauk. SSSR, 1941,30:301-305. Reprinted in Proc. Roy. Soc. Lond. A,1991,434:9-13.
[22] H.R. Anbarlooei, D.O.A. Cruz, F. Ramos. New power-law scaling for friction factor of extreme Reynolds number pipe flows [J]. Phys. Fluids, 2020,32(9):95121.
[23] S.A.Dixit, A. Gupta, H. Choudhary, A.K.Singh, T. Prabhakaran. A new universal model for friction factor in smooth pipes[J]. Phys. Fluids, 2021,33(3):035134.

管道湍流摩擦阻力研究成就与启示

Achievements and Enlightenment on Frictional Resistance of Turbulent Flow in Pipes

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