Thin Liquid Film Dynamics on a Spinning Spheroid
The present work explores the impact of rotation on the dynamics of a thin liquid layer deposited on a spheroid (bi-axial ellipsoid) rotating around its vertical axis. An evolution equation based on the lubrication approximation was derived, which takes into account the combined effects of the non-u...
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2021
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ftdoajarticles:oai:doaj.org/article:9763049f091b4b81a76c5561034979eb 2023-05-15T18:22:39+02:00 Thin Liquid Film Dynamics on a Spinning Spheroid Selin Duruk Edouard Boujo Mathieu Sellier 2021-09-01T00:00:00Z https://doi.org/10.3390/fluids6090318 https://doaj.org/article/9763049f091b4b81a76c5561034979eb EN eng MDPI AG https://www.mdpi.com/2311-5521/6/9/318 https://doaj.org/toc/2311-5521 doi:10.3390/fluids6090318 2311-5521 https://doaj.org/article/9763049f091b4b81a76c5561034979eb Fluids, Vol 6, Iss 318, p 318 (2021) thin liquid film nonlinear dynamics external forcing curved substrate coating Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 article 2021 ftdoajarticles https://doi.org/10.3390/fluids6090318 2022-12-31T06:39:41Z The present work explores the impact of rotation on the dynamics of a thin liquid layer deposited on a spheroid (bi-axial ellipsoid) rotating around its vertical axis. An evolution equation based on the lubrication approximation was derived, which takes into account the combined effects of the non-uniform curvature, capillarity, gravity, and rotation. This approximate model was solved numerically, and the results were compared favorably with solutions of the full Navier–Stokes equations. A key advantage of the lubrication approximation is the solution time, which was shown to be at least one order of magnitude shorter than for the full Navier–Stokes equations, revealing the prospect of controlling film dynamics for coating applications. The thin film dynamics were investigated for a wide range of geometric, kinematic, and material parameters. The model showed that, in contrast to the purely gravity-driven case, in which the fluid drains downwards and accumulates at the south pole, rotation leads to a migration of the maximum film thickness towards the equator, where the centrifugal force is the strongest. Article in Journal/Newspaper South pole Directory of Open Access Journals: DOAJ Articles South Pole Fluids 6 9 318 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
thin liquid film nonlinear dynamics external forcing curved substrate coating Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
spellingShingle |
thin liquid film nonlinear dynamics external forcing curved substrate coating Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Selin Duruk Edouard Boujo Mathieu Sellier Thin Liquid Film Dynamics on a Spinning Spheroid |
topic_facet |
thin liquid film nonlinear dynamics external forcing curved substrate coating Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 |
description |
The present work explores the impact of rotation on the dynamics of a thin liquid layer deposited on a spheroid (bi-axial ellipsoid) rotating around its vertical axis. An evolution equation based on the lubrication approximation was derived, which takes into account the combined effects of the non-uniform curvature, capillarity, gravity, and rotation. This approximate model was solved numerically, and the results were compared favorably with solutions of the full Navier–Stokes equations. A key advantage of the lubrication approximation is the solution time, which was shown to be at least one order of magnitude shorter than for the full Navier–Stokes equations, revealing the prospect of controlling film dynamics for coating applications. The thin film dynamics were investigated for a wide range of geometric, kinematic, and material parameters. The model showed that, in contrast to the purely gravity-driven case, in which the fluid drains downwards and accumulates at the south pole, rotation leads to a migration of the maximum film thickness towards the equator, where the centrifugal force is the strongest. |
format |
Article in Journal/Newspaper |
author |
Selin Duruk Edouard Boujo Mathieu Sellier |
author_facet |
Selin Duruk Edouard Boujo Mathieu Sellier |
author_sort |
Selin Duruk |
title |
Thin Liquid Film Dynamics on a Spinning Spheroid |
title_short |
Thin Liquid Film Dynamics on a Spinning Spheroid |
title_full |
Thin Liquid Film Dynamics on a Spinning Spheroid |
title_fullStr |
Thin Liquid Film Dynamics on a Spinning Spheroid |
title_full_unstemmed |
Thin Liquid Film Dynamics on a Spinning Spheroid |
title_sort |
thin liquid film dynamics on a spinning spheroid |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doi.org/10.3390/fluids6090318 https://doaj.org/article/9763049f091b4b81a76c5561034979eb |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
Fluids, Vol 6, Iss 318, p 318 (2021) |
op_relation |
https://www.mdpi.com/2311-5521/6/9/318 https://doaj.org/toc/2311-5521 doi:10.3390/fluids6090318 2311-5521 https://doaj.org/article/9763049f091b4b81a76c5561034979eb |
op_doi |
https://doi.org/10.3390/fluids6090318 |
container_title |
Fluids |
container_volume |
6 |
container_issue |
9 |
container_start_page |
318 |
_version_ |
1766202066798116864 |