[HTML][HTML] Three-dimensional nonlinear dynamics of a thin liquid film on a spinning ellipsoid

S Duruk, RG Shepherd, E Boujo, M Sellier - Physics of Fluids, 2023 - pubs.aip.org
The present work investigates the three-dimensional flow of a thin liquid film distributed on
the outer surface of an ellipsoid, rotating around the vertical axis at constant angular velocity …

Hydraulic jump on the surface of a cone

G Zhou, A Prosperetti - Journal of Fluid Mechanics, 2022 - cambridge.org
This paper addresses several aspects of the axisymmetric flow of a liquid film over the
surface of a downward-sloping cone. The study is rooted on a validated computational tool …

Gravity-driven coatings on curved substrates: a differential geometry approach

PG Ledda, M Pezzulla, E Jambon-Puillet… - Journal of Fluid …, 2022 - cambridge.org
Drainage and spreading processes in thin liquid films have received considerable attention
in the past decades. Yet, our understanding of three-dimensional cases remains sparse …

Linear stability analysis of a droplet under an axisymmetric thermal gradient

RA Mansilla, CA Perazzo, JM Gomba - Physics of Fluids, 2024 - pubs.aip.org
We study the linear stability of a droplet placed at the center of a horizontal disk under the
effect of surface stress promoted by an axisymmetric thermal gradient. Since the fluid volume …

Gravitational drainage on a vertical substrate of a narrow width

N Xue, HA Stone - Physical Review Fluids, 2022 - APS
The effect of a single, vertical edge on a draining liquid film was studied recently [Phys. Rev.
Lett. 125, 064502 (2020) PRLTAO 0031-9007 10.1103/PhysRevLett. 125.064502]. In this …

Axisymmetric pseudoplastic thin films in planar and spherical geometries

C Reese - arXiv preprint arXiv:2305.19532, 2023 - arxiv.org
A simplified, pseudoplastic rheology characterized by constant viscosity plateaus above and
below a transition strain rate is applied to axisymmetric, gravitationally driven spreading of a …

[PDF][PDF] SIMULACIONES NUMÉRICAS 3D DEL FLUJO DE UNA GOTA BAJO LOS EFECTOS DE UN GRADIENTE RADIAL DE TEMPERATURA 3D NUMERICAL …

JFE Quiroz, RA Mansilla, JM Gomba, CA Perazzo - 2024 - anales.fisica.org.ar
Se ha mostrado experimentalmente que cuando se deposita una gota en el centro de un
sustrato con un gradiente axial de temperatura (más caliente en el centro), por efectos …

SIMULACIONES NUMÉRICAS 3D DEL FLUJO DE UNA GOTA BAJO LOS EFECTOS DE UN GRADIENTE RADIAL DE TEMPERATURA

JF Escobar Quiroz, RA Mansilla… - Anales (Asociación …, 2024 - SciELO Argentina
Se ha mostrado experimentalmente que cuando se deposita una gota en el centro de un
sustrato con un gradiente axial de temperatura (más caliente en el centro), por efectos …

A Novel Mathematical Model for the Transient Ablation in Quartz Materials on Arbitrary Three-Dimensional Surfaces

Q Ma, M Cao, H Sun, C Wu - Available at SSRN 5023368 - papers.ssrn.com
A novel transient ablation model for arbitrary three-dimensional quartz substrates is
developed in this paper. The ablation problem is formulated by a differential equation on the …

[PDF][PDF] Reading Course Curved Surfaces & Thin Film Instabilities

T Peters - 2022 - people.bath.ac.uk
This report is motivated by a reading course to explore thin film problems on different
surfaces. Over the course of this report we derive the thin film equations for an arbitrary …