IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/267240.html
   My bibliography  Save this article

On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates

Author

Listed:
  • R. Van Keer
  • J. Kacur

Abstract

This paper deals with a numerical model for the kinetics of some diffusion-limited phase transformations. For the growth and dissolution processes in 3D we consider a single spherical precipitate at a constant and uniform concentration, centered in a finite spherical cell of a matrix, at the boundary of which there is no mass transfer, see also Asthana and Pabi [1] and Caers [2]. The governing equations are the diffusion equation (2nd Fick's law) for the concentration of dissolved element in the matrix, with a known value at the precipitate-matrix interface, and the flux balans (1st Fick's law) at this interface. The numerical method, outlined for this free boundary value problem (FBP), is based upon a fixed domain transformation and a suitably adapted nonconforming finite element technique for the space discretization. The algorithm can be implemented on a PC. By numerous experiments the method is shown to give accurate numerical results.

Suggested Citation

  • R. Van Keer & J. Kacur, 1998. "On a numerical model for diffusion-controlled growth and dissolution of spherical precipitates," Mathematical Problems in Engineering, Hindawi, vol. 4, pages 1-19, January.
    • Handle: RePEc:hin:jnlmpe:267240
    DOI: 10.1155/S1024123X98000751
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/4/267240.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/4/267240.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S1024123X98000751?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:267240. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.