IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v468y2017icp228-237.html
   My bibliography  Save this article

The theory of degassing and swelling of a supersaturated-by-gas solution

Author

Listed:
  • Kuchma, A.E.
  • Shchekin, A.K.
  • Bulgakov, M.Yu.

Abstract

The kinetic theory of degassing and swelling of a supersaturated-by-gas liquid solution under decompression has been formulated. The theory is based on the extended excluded volume approach to kinetics of gas-bubble nucleation. A description of the nucleation stage of supercritical gas-bubble formation with nonstationary nonuniform diffusion shells around the bubbles and mean-field mixing of the dissolved gas concentration at outer parts of the shells due to their stochastic overlapping has been built. In this way, the theory embraces the cases with any degree of initial gas supersaturation and deviation from the steady-state diffusion. It has been shown that the effects of nonstationary diffusion may be very significant in the growth of bubbles and, in particular, are responsible for a significant swelling of a supersaturated-by-gas liquid solution. Distribution of supercritical bubbles in sizes and gas concentration profiles at any moment of the nucleation stage as well as duration of the nucleation stage and the swelling ratio at the end of nucleation stage have been found.

Suggested Citation

  • Kuchma, A.E. & Shchekin, A.K. & Bulgakov, M.Yu., 2017. "The theory of degassing and swelling of a supersaturated-by-gas solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 228-237.
    • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:228-237
    DOI: 10.1016/j.physa.2016.11.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437116308111
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2016.11.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kurasov, V., 1996. "Density profiles in the theory of condensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 117-136.
    2. Kuchma, Anatoly & Markov, Maxim & Shchekin, Alexander, 2014. "Nucleation stage in supersaturated vapor with inhomogeneities due to nonstationary diffusion onto growing droplets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 255-265.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Shchekin, A.K. & Kuchma, A.E. & Aksenova, E.V., 2023. "Effects of viscous and capillary forces on the growth rates of gas bubbles in supersaturated liquid–gas​ solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Korenchenko, Anna E. & Vorontsov, Alexander G. & Gelchinski, Boris R. & Sannikov, Grigorii P., 2018. "Statistical analysis of dimer formation in supersaturated metal vapor based on molecular dynamics simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 147-155.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:228-237. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.