Analytical consideration of liquid droplet impingement on solid surfaces

Abstract In industrial applications involving spray-cooling, combustion, and so on, prediction of the maximum spreading diameter of a droplet impinging on a solid surface permits a quantitative estimation of heat removal and energy consumption. However, although there are many experimental studies r...

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Autores principales:	Yukihiro Yonemoto, Tomoaki Kunugi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/83ecad9171a04e8c92c4299f26802c5a
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spelling	oai:doaj.org-article:83ecad9171a04e8c92c4299f26802c5a2021-12-02T16:06:48ZAnalytical consideration of liquid droplet impingement on solid surfaces10.1038/s41598-017-02450-42045-2322https://doaj.org/article/83ecad9171a04e8c92c4299f26802c5a2017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02450-4https://doaj.org/toc/2045-2322Abstract In industrial applications involving spray-cooling, combustion, and so on, prediction of the maximum spreading diameter of a droplet impinging on a solid surface permits a quantitative estimation of heat removal and energy consumption. However, although there are many experimental studies regarding droplet impingement behaviour, theoretical models have an applicability limit for predicting the maximum spreading diameter. In the present study, we have developed an analytical model for droplet impingement based on energy conservation that considers adhesion energy in both horizontal and vertical directions at the contact line. The theory is validated by our experiment and existing experimental data possessing a wide range of Weber numbers. We demonstrate that our model can predict β m (i.e., the maximum spreading diameter normalised in terms of initial droplet diameter) for various Newtonian liquids ranging from micro- to millimetre-sized droplets on different solid surfaces and can determine the transition between capillary and viscous regimes. Furthermore, theoretical relations for scaling laws observed by many researchers are derived.Yukihiro YonemotoTomoaki KunugiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yukihiro Yonemoto Tomoaki Kunugi Analytical consideration of liquid droplet impingement on solid surfaces
description	Abstract In industrial applications involving spray-cooling, combustion, and so on, prediction of the maximum spreading diameter of a droplet impinging on a solid surface permits a quantitative estimation of heat removal and energy consumption. However, although there are many experimental studies regarding droplet impingement behaviour, theoretical models have an applicability limit for predicting the maximum spreading diameter. In the present study, we have developed an analytical model for droplet impingement based on energy conservation that considers adhesion energy in both horizontal and vertical directions at the contact line. The theory is validated by our experiment and existing experimental data possessing a wide range of Weber numbers. We demonstrate that our model can predict β m (i.e., the maximum spreading diameter normalised in terms of initial droplet diameter) for various Newtonian liquids ranging from micro- to millimetre-sized droplets on different solid surfaces and can determine the transition between capillary and viscous regimes. Furthermore, theoretical relations for scaling laws observed by many researchers are derived.
format	article
author	Yukihiro Yonemoto Tomoaki Kunugi
author_facet	Yukihiro Yonemoto Tomoaki Kunugi
author_sort	Yukihiro Yonemoto
title	Analytical consideration of liquid droplet impingement on solid surfaces
title_short	Analytical consideration of liquid droplet impingement on solid surfaces
title_full	Analytical consideration of liquid droplet impingement on solid surfaces
title_fullStr	Analytical consideration of liquid droplet impingement on solid surfaces
title_full_unstemmed	Analytical consideration of liquid droplet impingement on solid surfaces
title_sort	analytical consideration of liquid droplet impingement on solid surfaces
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/83ecad9171a04e8c92c4299f26802c5a
work_keys_str_mv	AT yukihiroyonemoto analyticalconsiderationofliquiddropletimpingementonsolidsurfaces AT tomoakikunugi analyticalconsiderationofliquiddropletimpingementonsolidsurfaces
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Analytical consideration of liquid droplet impingement on solid surfaces

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