IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/816385.html
   My bibliography  Save this article

Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions

Author

Listed:
  • Sen-Yung Lee
  • Chih-Cheng Huang

Abstract

An analytic solution method, without integral transformation, is developed to find the exact solutions for transient heat conduction in functionally graded (FG) circular hollow cylinders with time-dependent boundary conditions. By introducing suitable shifting functions, the governing second-order regular singular differential equation with variable coefficients and time-dependent boundary conditions is transformed into a differential equation with homogenous boundary conditions. The exact solution of the system with thermal conductivity and specific heat in power functions with different orders is developed. Finally, limiting studies and numerical analyses are given to illustrate the efficiency and the accuracy of the analysis.

Suggested Citation

  • Sen-Yung Lee & Chih-Cheng Huang, 2013. "Analytic Solutions for Heat Conduction in Functionally Graded Circular Hollow Cylinders with Time-Dependent Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:816385
    DOI: 10.1155/2013/816385
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/816385.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/816385.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/816385?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. Xu, Xiangtian & Li, Gaosheng & Zhao, Yuqin & Liu, Tiejun, 2023. "Analytical solutions for heat conduction problems with three kinds of periodic boundary conditions and their applications," Applied Mathematics and Computation, Elsevier, vol. 442(C).

    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:816385. 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.