The Reynolds Number: A Journey from Its Origin to Modern Applications
Date Issued
2024
Author(s)
Saldana
M Gallegos
S Gálvez
E Castillo
J Salinas-Rodríguez
E Cerecedo-Sáenz
E Hernández-Avila
J Navarra
A Toro
DOI
10.3390/fluids9120299
Abstract
The Reynolds number (Re), introduced in the late 19th century, has become a fundamental parameter in a lot of scientific fields-the main one being fluid mechanics-as it allows for the determination of flow characteristics by distinguishing between laminar and turbulent regimes, or some intermediate stage. Reynolds' 1895 paper, which decomposed velocity into average and fluctuating components, laid the foundation for modern turbulence modeling. Since then, the concept has been applied to various fields, including external flows-the science that studies friction-as well as wear, lubrication, and heat transfer. Literature research in recent times has explored new interpretations of Re, and despite its apparent simplicity, the precise prediction of Reynolds numbers remains a computational challenge, especially under conditions such as the study of multiphase flows, non-Newtonian fluids, highly turbulent flow conditions, flows on very small scales or nanofluids, flows with complex geometries, transient or non-stationary flows, and flows of fluids with variable properties. Reynolds' work, which encompasses both scientific and engineering contributions, continues to influence research and applications in fluid dynamics. C1 [Saldana, Manuel; Gallegos, Sandra; Toro, Norman] Univ Arturo Prat, Fac Engn & Architecture, Iquique 1110939, Chile. [Saldana, Manuel] Univ Antofagasta, Dept Ingn Quim & Proc Minerales, Antofagasta 1270300, Chile. [Galvez, Edelmira] Univ Catolica Norte, Dept Ingn Metalurg & Minas, Antofagasta 1270709, Chile. [Castillo, Jonathan] Univ Atacama, Dept Ingn Met, Copiapo 1531772, Chile. [Salinas-Rodriguez, Eleazar; Cerecedo-Saenz, Eduardo; Hernandez-avila, Juan] Autonomous Univ State Hidalgo, Inst Basic Sci & Engn, Acad Area Earth Sci & Mat, Pachuca 42184, Mexico. [Navarra, Alessandro] McGill Univ, Dept Min & Mat Engn, 3610 Univ St, Montreal, PQ H3A 0C5, Canada. C3 Universidad Arturo Prat; Universidad de Antofagasta; Universidad Catolica del Norte; Universidad de Atacama; Universidad Autonoma del Estado de Hidalgo; McGill University
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