Draft:Allen Regime

The Allen Regime is an intermediate Reynolds Number regime where both viscous and inertial hydrodynamic forces are significant. The Allen regime can be defined as 2 ≤ Re ≤ 500.[1] But definitions vary considerably with some describing the regime beginning as low as 0 and ending as high as 1000.[2]

H.S. Allen identified the Allen regime as a third regime between Stokesian and Newtonian in his 1900 paper titled; "The Motion of a Sphere in a Viscous Fluid."[3]


References

  1. ^ Oyama, Norihiro; Teshigawara, Kosuke; Molina, John Jairo; Yamamoto, Ryoichi; Taniguchi, Takashi (2018-03-30). "Reynolds-number-dependent dynamical transitions on hydrodynamic synchronization modes of externally driven colloids". Physical Review E. 97 (3). doi:10.1103/PhysRevE.97.032611. ISSN 2470-0045.
  2. ^ Bai, Hua; Thomas, Brian G. (2001-04-01). "Turbulent flow of liquid steel and argon bubbles in slide-gate tundish nozzles: Part I. model development and validation". Metallurgical and Materials Transactions B. 32 (2): 253–267. doi:10.1007/s11663-001-0049-z. ISSN 1543-1916.
  3. ^ www.tandfonline.com. doi:10.1080/14786440009463920 https://www.tandfonline.com/action/cookieAbsent. Retrieved 2026-04-18. {{cite web}}: Missing or empty |title= (help)

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