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From inertial to viscous slumping: Numerical and experimental insights of a transient intermediate regime

Alexis Bougouin and Laurent Lacaze
Phys. Rev. Fluids 7, 094803 – Published 27 September 2022

Abstract

The propagation of horizontal dam-break flows induced by the release of a rectangular column of a liquid phase into a negligible ambient fluid is investigated by combining numerical simulations and laboratory experiments. Varying both the geometry of the initial column and liquid properties, the parameter space covered allows the investigation of the transition from inertial to viscous slumping barely considered so far. In light of the Reynolds number Re based on the initial parameters of the fluid column, we report a newly investigated transient regime following the inertial slumping regime and prior to the viscous-dominated one. The transient intermediate regime is shown (i) to only exist for Re10 and (ii) to be characterized by an inertial overshoot followed by a strong deceleration of the front position accompanied by an excess and a deficit of fluid at the front and at the origin, respectively, with respect to the expected theoretical prediction of the viscous-dominated regime. Beyond the intuitive idea of an adaptive transition from the inertial to fully viscous slumping, these results highlight and quantify the influence of initial inertia on the spreading of a liquid, which may be particularly useful for modeling industrial and geophysical applications.

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  • Received 16 September 2021
  • Accepted 7 September 2022

DOI:https://doi.org/10.1103/PhysRevFluids.7.094803

©2022 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Alexis Bougouin*

  • Aix-Marseille Université, CNRS, IUSTI, Marseille, France

Laurent Lacaze

  • Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, INPT, UPS, 31400 Toulouse, France

  • *alexis.bougouin@univ-amu.fr
  • laurent.lacaze@imft.fr

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Issue

Vol. 7, Iss. 9 — September 2022

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