IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v386y2020ics009630032030446x.html
   My bibliography  Save this article

A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition

Author

Listed:
  • Kumar, Abhishek
  • Rajeev,

Abstract

In this paper, we discuss a Stefan problem that includes a moving phase change material and a size-dependent thermal conductivity. This model also includes the time-dependent boundary condition at the first boundary, which later assumed as the periodic nature. The solution to the problem is obtained successfully by using the finite difference scheme. The consistency and stability of the scheme for the problem are also discussed. The calculated results are compared with the exact solution for a particular case, and both are nearly equal. The dependence of the moving boundary and the temperature distribution on various parameters are also analyzed.

Suggested Citation

  • Kumar, Abhishek & Rajeev,, 2020. "A Stefan problem with moving phase change material, variable thermal conductivity and periodic boundary condition," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s009630032030446x
    DOI: 10.1016/j.amc.2020.125490
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630032030446X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125490?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. Xu, Minghan & Akhtar, Saad & Zueter, Ahmad F. & Alzoubi, Mahmoud A. & Sushama, Laxmi & Sasmito, Agus P., 2021. "Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    2. A. Elsaid & M. Deiaa & W. S. Elbeshbeeshy & I. L. El-Kalla, 2022. "The Solution Of One-Phase Stefan-Like Problems With A Forcing Term By Moving Taylor Series," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 6(1), pages 13-20, July.
    3. Nandi, S. & Sanyasiraju, Y.V.S.S., 2022. "A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials," Applied Mathematics and Computation, Elsevier, vol. 416(C).
    4. Deng, Dingwen & Hu, Mengting, 2024. "Non-negativity-preserving and maximum-principle-satisfying finite difference methods for Fisher’s equation with delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 594-622.

    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:apmaco:v:386:y:2020:i:c:s009630032030446x. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.