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Influence of a reversible chemical reaction on viscous fingering with partially miscible fluids.

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Title: Influence of a reversible chemical reaction on viscous fingering with partially miscible fluids.
Authors: Tiwari, Vishal1 (AUTHOR), Palodhi, Lopamudra1 (AUTHOR), Mishra, Manoranjan1,2 (AUTHOR) manoranjan@iitrpr.ac.in
Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. 6/1/2026, Vol. 482 Issue 2339, p1-27. 27p.
Subjects: Reactive flow, Flow instability, Chemical equilibrium, Spinodal decomposition (Chemistry), Phase separation, Polymer flooding (Petroleum engineering), Fluids
Abstract: Two-dimensional direct numerical simulations (DNS) were conducted to investigate the effect of a reversible reaction of a type A⇌ B on the dynamics of viscous fingering (VF) instability in a Hele-Shaw cell containing two partially miscible fluids. We demonstrate that the reaction evolves the whole system to a transient state having concentration 0.5 and that the reaction completely suppresses the finger fragmentation resulting in droplets during spinodal decomposition in partially miscible fluids. Furthermore, through linear stability analysis (LSA), we show that for Damköhler numbers Da<5×10−3 the whole system sitting at the transient state 0.5 phase separates into the two-coexisting phases having equilibrium concentrations, and the phase-separated domains evolve into viscous fingers and align with the flow direction. For Da>5×10−3 , we do not observe any fingers, and the whole system remains at the uniform concentration 0.5 as its final stable state without undergoing phase separation. We find that the reaction selects a specific wavelength for the phase-separated fingers for Da≤5×10−3. Furthermore, space-time maps show that the reaction also reduces the width of the mixing zone caused by the VF instability. These findings support the effectiveness of the reaction as a mechanism for controlling VF in partially miscible fluid pairs. We hence believe that the morphology of the system can be used to fabricate a functional material, and it will play a crucial role in determining the material's performance. We can employ this mechanism to enhance sweeping efficiency in polymer flooding, where suppressing VF leads to enhanced oil recovery. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences is the property of Royal 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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DbLabel: Engineering Source
An: 194236694
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  Data: Influence of a reversible chemical reaction on viscous fingering with partially miscible fluids.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Two-dimensional direct numerical simulations (DNS) were conducted to investigate the effect of a reversible reaction of a type A⇌ B on the dynamics of viscous fingering (VF) instability in a Hele-Shaw cell containing two partially miscible fluids. We demonstrate that the reaction evolves the whole system to a transient state having concentration 0.5 and that the reaction completely suppresses the finger fragmentation resulting in droplets during spinodal decomposition in partially miscible fluids. Furthermore, through linear stability analysis (LSA), we show that for Damk&#246;hler numbers Da&lt;5&#215;10−3 the whole system sitting at the transient state 0.5 phase separates into the two-coexisting phases having equilibrium concentrations, and the phase-separated domains evolve into viscous fingers and align with the flow direction. For Da&gt;5&#215;10−3 , we do not observe any fingers, and the whole system remains at the uniform concentration 0.5 as its final stable state without undergoing phase separation. We find that the reaction selects a specific wavelength for the phase-separated fingers for Da≤5&#215;10−3. Furthermore, space-time maps show that the reaction also reduces the width of the mixing zone caused by the VF instability. These findings support the effectiveness of the reaction as a mechanism for controlling VF in partially miscible fluid pairs. We hence believe that the morphology of the system can be used to fabricate a functional material, and it will play a crucial role in determining the material&#39;s performance. We can employ this mechanism to enhance sweeping efficiency in polymer flooding, where suppressing VF leads to enhanced oil recovery. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: &lt;i&gt;Copyright of Proceedings of the Royal Society A: Mathematical, Physical &amp; Engineering Sciences is the property of Royal Society and its content may not be copied or emailed to multiple sites without the copyright holder&#39;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.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1098/rspa.2025.0858
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 27
        StartPage: 1
    Subjects:
      – SubjectFull: Reactive flow
        Type: general
      – SubjectFull: Flow instability
        Type: general
      – SubjectFull: Chemical equilibrium
        Type: general
      – SubjectFull: Spinodal decomposition (Chemistry)
        Type: general
      – SubjectFull: Phase separation
        Type: general
      – SubjectFull: Polymer flooding (Petroleum engineering)
        Type: general
      – SubjectFull: Fluids
        Type: general
    Titles:
      – TitleFull: Influence of a reversible chemical reaction on viscous fingering with partially miscible fluids.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Tiwari, Vishal
      – PersonEntity:
          Name:
            NameFull: Palodhi, Lopamudra
      – PersonEntity:
          Name:
            NameFull: Mishra, Manoranjan
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          Dates:
            – D: 01
              M: 06
              Text: 6/1/2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 13645021
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            – Type: volume
              Value: 482
            – Type: issue
              Value: 2339
          Titles:
            – TitleFull: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
              Type: main
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