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

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 $Re\gtrsim10$ 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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https://hal.archives-ouvertes.fr/hal-03790942
Contributor : Alexis BOUGOUIN Connect in order to contact the contributor
Submitted on : Wednesday, September 28, 2022 - 6:19:59 PM
Last modification on : Wednesday, October 19, 2022 - 6:23:55 PM

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### Citation

Alexis Bougouin, Laurent Lacaze. From inertial to viscous slumping: Numerical and experimental insights of a transient intermediate regime. Physical Review Fluids, 2022, 7 (9), pp.094803. ⟨10.1103/PhysRevFluids.7.094803⟩. ⟨hal-03790942⟩

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