Rapid Spreading of a Droplet on a Thin Soap Film

M. Motaghian, R. Shirsavar, M. Erfanifam, M. Sabouhi, E. Van Der Linden, H.A. Stone, D. Bonn, Mehdi Habibi*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the spreading of a droplet of surfactant solution on a thin suspended soap film as a function of dynamic surface tension and volume of the droplet. Radial growth of the leading edge (R) shows power-law dependence on time with exponents ranging roughly from 0.1 to 1 for different surface tension differences (Δσ) between the film and the droplet. When the surface tension of the droplet is lower than the surface tension of the film (Δσ > 0), we observe rapid spreading of the droplet with R ≈ tα, where α (0.4 < α < 1) is highly dependent on Δσ. Balance arguments assuming the spreading process is driven by Marangoni stresses versus inertial stresses yield α = 2/3. When the surface tension difference does not favor spreading (Δσ < 0), spreading still occurs but is slow with 0.1 < α < 0.2. This phenomenon could be used for stretching droplets in 2D and modifying thin suspended films.

Original languageEnglish
Pages (from-to)14855-14860
JournalLangmuir
Volume35
Issue number46
DOIs
Publication statusPublished - 23 Oct 2019

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soaps
Soaps (detergents)
interfacial tension
Surface tension
leading edges
Surface-Active Agents
Stretching
surfactants
Yield stress
exponents
Surface active agents

Cite this

Motaghian, M. ; Shirsavar, R. ; Erfanifam, M. ; Sabouhi, M. ; Van Der Linden, E. ; Stone, H.A. ; Bonn, D. ; Habibi, Mehdi. / Rapid Spreading of a Droplet on a Thin Soap Film. In: Langmuir. 2019 ; Vol. 35, No. 46. pp. 14855-14860.
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title = "Rapid Spreading of a Droplet on a Thin Soap Film",
abstract = "We study the spreading of a droplet of surfactant solution on a thin suspended soap film as a function of dynamic surface tension and volume of the droplet. Radial growth of the leading edge (R) shows power-law dependence on time with exponents ranging roughly from 0.1 to 1 for different surface tension differences (Δσ) between the film and the droplet. When the surface tension of the droplet is lower than the surface tension of the film (Δσ > 0), we observe rapid spreading of the droplet with R ≈ tα, where α (0.4 < α < 1) is highly dependent on Δσ. Balance arguments assuming the spreading process is driven by Marangoni stresses versus inertial stresses yield α = 2/3. When the surface tension difference does not favor spreading (Δσ < 0), spreading still occurs but is slow with 0.1 < α < 0.2. This phenomenon could be used for stretching droplets in 2D and modifying thin suspended films.",
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Motaghian, M, Shirsavar, R, Erfanifam, M, Sabouhi, M, Van Der Linden, E, Stone, HA, Bonn, D & Habibi, M 2019, 'Rapid Spreading of a Droplet on a Thin Soap Film', Langmuir, vol. 35, no. 46, pp. 14855-14860. https://doi.org/10.1021/acs.langmuir.9b02274

Rapid Spreading of a Droplet on a Thin Soap Film. / Motaghian, M.; Shirsavar, R.; Erfanifam, M.; Sabouhi, M.; Van Der Linden, E.; Stone, H.A.; Bonn, D.; Habibi, Mehdi.

In: Langmuir, Vol. 35, No. 46, 23.10.2019, p. 14855-14860.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Erfanifam, M.

AU - Sabouhi, M.

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AU - Stone, H.A.

AU - Bonn, D.

AU - Habibi, Mehdi

PY - 2019/10/23

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N2 - We study the spreading of a droplet of surfactant solution on a thin suspended soap film as a function of dynamic surface tension and volume of the droplet. Radial growth of the leading edge (R) shows power-law dependence on time with exponents ranging roughly from 0.1 to 1 for different surface tension differences (Δσ) between the film and the droplet. When the surface tension of the droplet is lower than the surface tension of the film (Δσ > 0), we observe rapid spreading of the droplet with R ≈ tα, where α (0.4 < α < 1) is highly dependent on Δσ. Balance arguments assuming the spreading process is driven by Marangoni stresses versus inertial stresses yield α = 2/3. When the surface tension difference does not favor spreading (Δσ < 0), spreading still occurs but is slow with 0.1 < α < 0.2. This phenomenon could be used for stretching droplets in 2D and modifying thin suspended films.

AB - We study the spreading of a droplet of surfactant solution on a thin suspended soap film as a function of dynamic surface tension and volume of the droplet. Radial growth of the leading edge (R) shows power-law dependence on time with exponents ranging roughly from 0.1 to 1 for different surface tension differences (Δσ) between the film and the droplet. When the surface tension of the droplet is lower than the surface tension of the film (Δσ > 0), we observe rapid spreading of the droplet with R ≈ tα, where α (0.4 < α < 1) is highly dependent on Δσ. Balance arguments assuming the spreading process is driven by Marangoni stresses versus inertial stresses yield α = 2/3. When the surface tension difference does not favor spreading (Δσ < 0), spreading still occurs but is slow with 0.1 < α < 0.2. This phenomenon could be used for stretching droplets in 2D and modifying thin suspended films.

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Motaghian M, Shirsavar R, Erfanifam M, Sabouhi M, Van Der Linden E, Stone HA et al. Rapid Spreading of a Droplet on a Thin Soap Film. Langmuir. 2019 Oct 23;35(46):14855-14860. https://doi.org/10.1021/acs.langmuir.9b02274