Work

Analytical solutions to the gravity-driven rain-fed free-surface Stokes equations

Year: 2026

Type: article

Abstract: The present paper concerns the continuously-fed, gravity-driven film flows of rainwater over hemispheres and semicircular cylinders. We extend previous lubrication results to arbitrarily thick films, while remaining in the creeping flow limit. We show that the predictions of uniform thickness profiles, amusingly, remain qualitatively accurate under these relaxed assumptions.

Source: Comptes Rendus Mécanique

DOI: 10.5802/crmeca.365

Authors: Simeon Djambov, François Gallaire

Institutions: Centre National de la Recherche Scientifique, École Polytechnique, Laboratoire d'Hydrodynamique de l'École polytechnique, Institut Polytechnique de Paris, École Polytechnique Fédérale de Lausanne

Language: English

Topic: Fluid Dynamics and Thin Films

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7160315453

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Cites: 14

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