IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v250y2015icp228-234.html
   My bibliography  Save this article

Applications of the Numerical Inversion of the Laplace transform to unsteady problems of the third grade fluid

Author

Listed:
  • Awais, M.

Abstract

In this article, we have effectively used the Numerical Inversion of Laplace transform to study some time dependent problems of the third grade fluid. To do so, we have considered three different types of unsteady flows of the third grade fluid, namely(a)Unsteady flow over a flat rigid plate with porous medium.(b)Unsteady MHD flow in a porous medium.(c)Unsteady MHD flow in a non-porous space with Hall currents.The solution to the governing equation in each case is obtained by using the standard Laplace transform. However, to transform the obtained solutions from Laplace space back to the original space, we have used the Numerical Inversion of the Laplace transform. Graphical results for each case have been presented to show the effects of different parameters involved and to show how the fluid flow evolves with time.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:228-234
    DOI: 10.1016/j.amc.2014.10.109
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314014842
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.10.109?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.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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).
    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.

    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:250:y:2015:i:c:p:228-234. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.