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Splash on a liquid pool: coupled cavity–sheet unsteady dynamics.

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Title: Splash on a liquid pool: coupled cavity–sheet unsteady dynamics.
Authors: Dandekar, R.1 (AUTHOR), Shen, N.1 (AUTHOR), Naar, B.1 (AUTHOR), Bourouiba, L.1 (AUTHOR) lbouro@mit.edu
Source: Journal of Fluid Mechanics. 1/10/2025, Vol. 1002, p1-30. 30p.
Subjects: Surface tension, Gravitational effects, Evolution equations, Free surfaces, Conservation laws (Physics)
Abstract: Splashes from impacts of drops on liquid pools are ubiquitous and generate secondary droplets important for a range of applications in healthcare, agriculture and industry. The physics of splash continues to comprise central unresolved questions. Combining experiments and theory, here we study the sequence of topological changes from drop impact on a deep, inviscid liquid pool, with a focus on the regime of crown splash with developing air cavity below the interface and crown sheet above it. We develop coupled evolution equations for the cavity–crown system, leveraging asymptotic theory for the cavity and conservation laws for the crown. Using the key coupling of sheet and cavity, we derive similarity solutions for the sheet velocity and thickness profiles, and asymptotic prediction of the crown height evolution. Unlike the cavity whose expansion is opposed by gravitational effects, the axial crown rise is mostly opposed by surface tension effects. Moreover, both the maximum crown height and the time of its occurrence scale as ${\textit {We}}^{5/7}$. We find our analytical results to be in good agreement with our experimental measurements. The cavity–crown coupling achieved enables us to obtain explicit estimates of the crown splash spatio-temporal unsteady dynamics, paving the way to deciphering ultimate splash fragmentation. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 183111021
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Splash on a liquid pool: coupled cavity–sheet unsteady dynamics.
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  Data: <searchLink fieldCode="AR" term="%22Dandekar%2C+R%2E%22">Dandekar, R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shen%2C+N%2E%22">Shen, N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Naar%2C+B%2E%22">Naar, B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bourouiba%2C+L%2E%22">Bourouiba, L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> lbouro@mit.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 1/10/2025, Vol. 1002, p1-30. 30p.
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  Label: Abstract
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  Data: Splashes from impacts of drops on liquid pools are ubiquitous and generate secondary droplets important for a range of applications in healthcare, agriculture and industry. The physics of splash continues to comprise central unresolved questions. Combining experiments and theory, here we study the sequence of topological changes from drop impact on a deep, inviscid liquid pool, with a focus on the regime of crown splash with developing air cavity below the interface and crown sheet above it. We develop coupled evolution equations for the cavity–crown system, leveraging asymptotic theory for the cavity and conservation laws for the crown. Using the key coupling of sheet and cavity, we derive similarity solutions for the sheet velocity and thickness profiles, and asymptotic prediction of the crown height evolution. Unlike the cavity whose expansion is opposed by gravitational effects, the axial crown rise is mostly opposed by surface tension effects. Moreover, both the maximum crown height and the time of its occurrence scale as ${\textit {We}}^{5/7}$. We find our analytical results to be in good agreement with our experimental measurements. The cavity–crown coupling achieved enables us to obtain explicit estimates of the crown splash spatio-temporal unsteady dynamics, paving the way to deciphering ultimate splash fragmentation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=183111021
RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1017/jfm.2024.1105
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      – Code: eng
        Text: English
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        PageCount: 30
        StartPage: 1
    Subjects:
      – SubjectFull: Surface tension
        Type: general
      – SubjectFull: Gravitational effects
        Type: general
      – SubjectFull: Evolution equations
        Type: general
      – SubjectFull: Free surfaces
        Type: general
      – SubjectFull: Conservation laws (Physics)
        Type: general
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      – TitleFull: Splash on a liquid pool: coupled cavity–sheet unsteady dynamics.
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            NameFull: Shen, N.
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            NameFull: Naar, B.
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            – D: 10
              M: 01
              Text: 1/10/2025
              Type: published
              Y: 2025
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              Value: 1002
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