IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v80y2009i3p479-489.html
   My bibliography  Save this article

On a convective condition in the diffusion of a solvent into a polymer with non-constant conductivity coefficient

Author

Listed:
  • Gaudiano, Marcos
  • Torres, Germán Ariel
  • Turner, Cristina

Abstract

We studied a one-dimensional free boundary problem arising in the polymer industry. Imposing a convective boundary condition, the solution has an interesting asymptotic behavior. It is found that the free boundary is bounded by a constant which does not depend on the conductivity coefficient, which holds even if the diffusion process is non-linear. Numerical methods are presented to compute the solutions and to compare with the theoretical results.

Suggested Citation

  • Gaudiano, Marcos & Torres, Germán Ariel & Turner, Cristina, 2009. "On a convective condition in the diffusion of a solvent into a polymer with non-constant conductivity coefficient," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(3), pages 479-489.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:3:p:479-489
    DOI: 10.1016/j.matcom.2008.07.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408002413
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2008.07.005?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.

    Citations

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


    Cited by:

    1. Salva, N.N. & Tarzia, D.A., 2024. "Relationship between two solidification problems in order to determine unknown thermal coefficients when the heat transfer coefficient is very large," Applied Mathematics and Computation, Elsevier, vol. 468(C).
    2. Ceretani, Andrea N. & Salva, Natalia N. & Tarzia, Domingo A., 2018. "Approximation of the modified error function," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 607-617.

    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:matcom:v:80:y:2009:i:3:p:479-489. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.