IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v59y2013icp625-632.html
   My bibliography  Save this article

Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel

Author

Listed:
  • Raftari, Behrouz
  • Parvaneh, Foroud
  • Vajravelu, Kuppalapalle

Abstract

In this paper, we analyze the MHD (magnetohydrodynamic) flow and heat transfer of a second grade non-Newtonian fluid in a channel with porous wall. HAM (Homotopy analysis method) is used to obtain analytical solutions of the governing system of nonlinear ordinary differential equations. The analytical solutions are obtained in the form of infinite series and the convergence of the series solution is discussed explicitly. The obtained results are presented through graphs for several sets of values of the parameters, and the salient features of the solutions are analyzed. A comparison of our HAM results with the available numerical results in the literature (obtained by Runge-Kutta and shooting methods) shows that our results are accurate for a wide range of values of the parameters.

Suggested Citation

  • Raftari, Behrouz & Parvaneh, Foroud & Vajravelu, Kuppalapalle, 2013. "Homotopy analysis of the magnetohydrodynamic flow and heat transfer of a second grade fluid in a porous channel," Energy, Elsevier, vol. 59(C), pages 625-632.
  • Handle: RePEc:eee:energy:v:59:y:2013:i:c:p:625-632
    DOI: 10.1016/j.energy.2013.07.054
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544213006609
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2013.07.054?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. Janardhana Reddy, G. & Kumar, Mahesh & Anwar Beg, O., 2018. "Effect of temperature dependent viscosity on entropy generation in transient viscoelastic polymeric fluid flow from an isothermal vertical plate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 426-445.
    2. Awais, M., 2015. "Applications of the Numerical Inversion of the Laplace transform to unsteady problems of the third grade fluid," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 228-234.
    3. Hsiao, Kai-Long, 2017. "To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method," Energy, Elsevier, vol. 130(C), pages 486-499.
    4. Zhang, Kaiyu & Wang, Yibai & Tang, Haibin & Li, Yong & Wang, Baojun & York, Thomas M. & Yang, Lijun, 2020. "Two-dimensional analytical investigation into energy conversion and efficiency maximization of magnetohydrodynamic swirling flow actuators," Energy, Elsevier, vol. 209(C).

    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:energy:v:59:y:2013:i:c:p:625-632. 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/energy .

    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.