Role of melting and solidification in the spreading of an impacting water drop

Fuente: arXiv
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Autori principali: Sarlin, Wladimir, Grivet, Rodolphe, Xu, Julien, Huerre, Axel, Séon, Thomas, Josserand, Christophe
Natura: Preprint
Pubblicazione: 2024
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author Sarlin, Wladimir
Grivet, Rodolphe
Xu, Julien
Huerre, Axel
Séon, Thomas
Josserand, Christophe
author_facet Sarlin, Wladimir
Grivet, Rodolphe
Xu, Julien
Huerre, Axel
Séon, Thomas
Josserand, Christophe
contents The present study reports experiments of water droplet impacting on ice or on a cold metallic substrate, with the aim of understanding the effect of phase change on the impingement process. Both liquid and substrate temperatures are varied, as well as the height of fall. The dimensionless maximum spreading diameter, $β_m$, is found to increase with both temperatures as well as with the impact velocity. Furthermore, $β_m$ is reduced when solidification, which enhances dissipation, is present, whereas fusion favours the liquid film spreading. These observations are rationalized by extending an existing model of effective viscosity, in which phase change alters the size and shape of the developing viscous boundary layer, thereby modifying the value of $β_m$. The use of this correction allows to adapt a scaling law existing for isothermal drop impacts to propose a universal law giving the maximum diameter of an impacting water droplet in the presence of melting or solidification.
format Preprint
id arxiv_https___arxiv_org_abs_2405_09143
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Role of melting and solidification in the spreading of an impacting water drop
Sarlin, Wladimir
Grivet, Rodolphe
Xu, Julien
Huerre, Axel
Séon, Thomas
Josserand, Christophe
Fluid Dynamics
The present study reports experiments of water droplet impacting on ice or on a cold metallic substrate, with the aim of understanding the effect of phase change on the impingement process. Both liquid and substrate temperatures are varied, as well as the height of fall. The dimensionless maximum spreading diameter, $β_m$, is found to increase with both temperatures as well as with the impact velocity. Furthermore, $β_m$ is reduced when solidification, which enhances dissipation, is present, whereas fusion favours the liquid film spreading. These observations are rationalized by extending an existing model of effective viscosity, in which phase change alters the size and shape of the developing viscous boundary layer, thereby modifying the value of $β_m$. The use of this correction allows to adapt a scaling law existing for isothermal drop impacts to propose a universal law giving the maximum diameter of an impacting water droplet in the presence of melting or solidification.
title Role of melting and solidification in the spreading of an impacting water drop
topic Fluid Dynamics
url https://arxiv.org/abs/2405.09143