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Rupture of Draining Foam Films Due to Random Pressure Fluctuations.

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Title: Rupture of Draining Foam Films Due to Random Pressure Fluctuations.
Authors: Zebin Wang1, Ganesan Narsimhan1
Source: Langmuir. Feb2007, Vol. 23 Issue 5, p2437-2443. 7p.
Subjects: Stochastic differential equations, Viscosity, Pressure, Fluctuations (Physics)
Abstract: A generalized formalism for the rupture of a draining foam film due to imposed random pressure fluctuations, modeled as a Gaussian white noise, is presented in which the flow inside the film is decomposed into a flow due to film drainage and a flow due to imposed perturbation. The evolution of the amplitude of perturbation is described by a stochastic differential equation. The rupture time distribution is calculated from the sample paths of perturbation amplitude as the time for this amplitude to equal one-half the film thickness and is calculated for different amplitudes of imposed perturbations, film thicknesses, electrostatic interactions, viscosities, and interfacial mobilities. The probability of film rupture is high for thicker films, especially at smaller times, as a result of faster growth of perturbations in a thick film due to a smaller disjoining pressure gradient. Larger viscosity, larger surface viscosity, higher Marangoni number, and smaller imposed pressure fluctuation result in slower growth of perturbation of a draining film, thus leading to larger rupture time. It is shown that a composite rupture time distribution combining short time simulation results with equilibrium distribution is a good approximation. [ABSTRACT FROM AUTHOR]
Copyright of Langmuir is the property of American Chemical Society 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.)
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Header DbId: egs
DbLabel: Engineering Source
An: 24394956
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Rupture of Draining Foam Films Due to Random Pressure Fluctuations.
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  Data: <searchLink fieldCode="AR" term="%22Zebin+Wang%22">Zebin Wang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Ganesan+Narsimhan%22">Ganesan Narsimhan</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Langmuir%22">Langmuir</searchLink>. Feb2007, Vol. 23 Issue 5, p2437-2443. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Viscosity%22">Viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Pressure%22">Pressure</searchLink><br /><searchLink fieldCode="DE" term="%22Fluctuations+%28Physics%29%22">Fluctuations (Physics)</searchLink>
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  Data: A generalized formalism for the rupture of a draining foam film due to imposed random pressure fluctuations, modeled as a Gaussian white noise, is presented in which the flow inside the film is decomposed into a flow due to film drainage and a flow due to imposed perturbation. The evolution of the amplitude of perturbation is described by a stochastic differential equation. The rupture time distribution is calculated from the sample paths of perturbation amplitude as the time for this amplitude to equal one-half the film thickness and is calculated for different amplitudes of imposed perturbations, film thicknesses, electrostatic interactions, viscosities, and interfacial mobilities. The probability of film rupture is high for thicker films, especially at smaller times, as a result of faster growth of perturbations in a thick film due to a smaller disjoining pressure gradient. Larger viscosity, larger surface viscosity, higher Marangoni number, and smaller imposed pressure fluctuation result in slower growth of perturbation of a draining film, thus leading to larger rupture time. It is shown that a composite rupture time distribution combining short time simulation results with equilibrium distribution is a good approximation. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Langmuir is the property of American Chemical Society 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.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1021/la061536m
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 7
        StartPage: 2437
    Subjects:
      – SubjectFull: Stochastic differential equations
        Type: general
      – SubjectFull: Viscosity
        Type: general
      – SubjectFull: Pressure
        Type: general
      – SubjectFull: Fluctuations (Physics)
        Type: general
    Titles:
      – TitleFull: Rupture of Draining Foam Films Due to Random Pressure Fluctuations.
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            NameFull: Zebin Wang
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            NameFull: Ganesan Narsimhan
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            – D: 27
              M: 02
              Text: Feb2007
              Type: published
              Y: 2007
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              Value: 07437463
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              Value: 23
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              Value: 5
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            – TitleFull: Langmuir
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