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Inertial exit dynamics of a horizontal cylinder out of a liquid bath

Authors

Vincent, Lionel , RIVERO RODRIGUEZ, JAVIER, Falla, Romain , Ashraf, Intesaaf , Terrapon, Vincent Emmanuel , Dorbolo, Stephane , Scheid, Benoit

External publication

No

Means

J. Fluid Mech.

Scope

Article

Nature

Científica

JCR Quartile

1

SJR Quartile

1

Publication date

20/02/2026

ISI

001695249400001

Abstract

We present a combined theoretical and numerical investigation of the inertial exit dynamics of a long horizontal circular cylinder vertically lifted out of a finite-size liquid bath at constant velocity. The various steps of the exit dynamics are studied in detail: from the formation of a bulge on the surface ahead of the cylinder to the coating of the cylinder by a liquid film while crossing the interface. We focus on inertial dynamics, a regime characteristic of large exit velocities, i.e. large Reynolds numbers ( $500 \lt \textit{Re} \lt 10\,000$ ) and negligible interfacial effects. The dynamics is investigated through two-dimensional computations of the Navier-Stokes equations using a finite element method with moving boundaries. We describe in detail the exit dynamics while emphasising the effect of various parameters on surface deformation and resistive force. We identify subtle effects and interplay, such as initial free-surface response after impulsive start-up, the important role of the lateral bounding of the reservoir, and the close relationship between wake size and surge amplitudes as revealed by comparing with free-slip cylinder simulations. All these aspects are shown to be crucial to accurately predict the coated film thickness and the exit force.

Keywords

waves/free-surface flows; wakes; thin films

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