IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i18p3728-3736.html
   My bibliography  Save this article

The laws of establishing stationary composition in a droplet condensing in a binary vapor–gas environment

Author

Listed:
  • Kuni, Fedor M.
  • Lezova, Alexandra A.
  • Shchekin, Alexander K.

Abstract

It is shown that the mole fractions of components within a droplet growing in an atmosphere of two condensing gases and a carrier gas approach their stationary values with a power-law behavior in time on a large scale and with exponential behavior on a small scale for both diffusion-controlled and free-molecular regimes of isothermal condensation. The parameters of the power and the exponential laws are specified for each regime of binary condensation and are linked to the thermodynamic and kinetic characteristics of condensing vapors and to the stationary mole fractions of the components in a growing binary droplet. The stationary composition of the solution within the droplet is shown to be established at a comparatively small relative increase of the droplet radius. A relaxation equation for the droplet composition at arbitrary initial deviations of mole fractions from their stationary values has been solved, and the limitations on the initial deviations allowing monotonic establishment of stationary composition in solution within a growing droplet have been considered.

Suggested Citation

  • Kuni, Fedor M. & Lezova, Alexandra A. & Shchekin, Alexander K., 2009. "The laws of establishing stationary composition in a droplet condensing in a binary vapor–gas environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(18), pages 3728-3736.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:18:p:3728-3736
    DOI: 10.1016/j.physa.2009.05.043
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109004257
    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.2009.05.043?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. Djikaev, Y.S. & Teichmann, J. & Grmela, M., 1999. "Kinetic theory of nonisothermal binary nucleation: the stage following thermal relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 322-342.
    2. Vesala, Timo & Kulmala, Markku, 1993. "Comparisons of uncoupled, film theoretical and exact solutions for binary droplet evaporation and condensation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 107-123.
    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. Kuchma, Anatoly E. & Shchekin, Alexander K. & Kuni, Fedor M., 2011. "Simultaneous establishing of stationary growth rate and composition of supercritical droplets at isothermal binary condensation in the diffusion-controlled regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3308-3316.

    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. Kuchma, Anatoly E. & Shchekin, Alexander K. & Kuni, Fedor M., 2011. "Simultaneous establishing of stationary growth rate and composition of supercritical droplets at isothermal binary condensation in the diffusion-controlled regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3308-3316.
    2. Djikaev, Yuri S. & Ruckenstein, Eli & Swihart, Mark, 2022. "On the Fokker–Planck approximation in the kinetic equation of multicomponent classical nucleation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

    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:388:y:2009:i:18:p:3728-3736. 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.