IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/568263.html
   My bibliography  Save this article

Analytical Solution for Different Profiles of Fin with Temperature-Dependent Thermal Conductivity

Author

Listed:
  • A. Moradi
  • H. Ahmadikia

Abstract

Three different profiles of the straight fin that has a temperature-dependent thermal conductivity are investigated by differential transformation method (DTM) and compared with numerical solution. Fin profiles are rectangular, convex, and exponential. For validation of the DTM, the heat equation is solved numerically by the fourth-order Runge-Kutta method. The temperature distribution, fin efficiency, and fin heat transfer rate are presented for three fin profiles and a range of values of heat transfer parameters. DTM results indicate that series converge rapidly with high accuracy. The efficiency and base temperature of the exponential profile are higher than the rectangular and the convex profiles. The results indicate that the numerical data and analytical method are in agreement with each other.

Suggested Citation

  • A. Moradi & H. Ahmadikia, 2010. "Analytical Solution for Different Profiles of Fin with Temperature-Dependent Thermal Conductivity," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-15, February.
    • Handle: RePEc:hin:jnlmpe:568263
    DOI: 10.1155/2010/568263
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2010/568263.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2010/568263.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/568263?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
    ---><---

    Citations

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


    Cited by:

    1. Tafakkori–Bafghi, M. & Loghmani, G.B. & Heydari, M., 2022. "Numerical solution of two-point nonlinear boundary value problems via Legendre–Picard iteration method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 133-159.

    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:568263. 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.