Shape Dynamics of Bouncing Droplets

Oscillating shape motion of a freely falling and bouncing water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two-dimensional surfaces in gravity and apply it to analyze shape dynamics of freely falling and bouncing drops. The analytic and n...

Descripción completa

Detalles Bibliográficos
Autor principal: Svintradze, David V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6465294/
https://www.ncbi.nlm.nih.gov/pubmed/30988358
http://dx.doi.org/10.1038/s41598-019-42580-5
_version_ 1783410913396654080
author Svintradze, David V.
author_facet Svintradze, David V.
author_sort Svintradze, David V.
collection PubMed
description Oscillating shape motion of a freely falling and bouncing water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two-dimensional surfaces in gravity and apply it to analyze shape dynamics of freely falling and bouncing drops. The analytic and numerical solutions qualitatively well explain why drops oscillate among prolate/oblate morphology and display a number of features consistent with experiments. In addition, numerical solutions for simplified equations indicate nonlinear effects of nonperiodic/asymmetric motion and the growing amplitude in the surface density oscillations and well agree to previous experimental data.
format Online
Article
Text
id pubmed-6465294
institution National Center for Biotechnology Information
language English
publishDate 2019
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-64652942019-04-18 Shape Dynamics of Bouncing Droplets Svintradze, David V. Sci Rep Article Oscillating shape motion of a freely falling and bouncing water droplet has long fascinated and inspired scientists. We propose dynamic non-linear equations for closed, two-dimensional surfaces in gravity and apply it to analyze shape dynamics of freely falling and bouncing drops. The analytic and numerical solutions qualitatively well explain why drops oscillate among prolate/oblate morphology and display a number of features consistent with experiments. In addition, numerical solutions for simplified equations indicate nonlinear effects of nonperiodic/asymmetric motion and the growing amplitude in the surface density oscillations and well agree to previous experimental data. Nature Publishing Group UK 2019-04-15 /pmc/articles/PMC6465294/ /pubmed/30988358 http://dx.doi.org/10.1038/s41598-019-42580-5 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Svintradze, David V.
Shape Dynamics of Bouncing Droplets
title Shape Dynamics of Bouncing Droplets
title_full Shape Dynamics of Bouncing Droplets
title_fullStr Shape Dynamics of Bouncing Droplets
title_full_unstemmed Shape Dynamics of Bouncing Droplets
title_short Shape Dynamics of Bouncing Droplets
title_sort shape dynamics of bouncing droplets
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6465294/
https://www.ncbi.nlm.nih.gov/pubmed/30988358
http://dx.doi.org/10.1038/s41598-019-42580-5
work_keys_str_mv AT svintradzedavidv shapedynamicsofbouncingdroplets

Ejemplares similares