IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v358y2019icp216-231.html
   My bibliography  Save this article

Nonlinear stability analysis of a fluid saturated anisotropic Darcy–Brinkman medium with internal heat source

Author

Listed:
  • Nandal, Reena
  • Mahajan, Amit

Abstract

In the present study, the effect of mechanical anisotropy on the onset of convection is observed when the fluid layer is influenced by internal heat generation and heat extraction through the boundary. The extended Darcy model is employed to establish the momentum equation. Particularly, the emphasis is laid upon that how these factors alter the criteria of onset of convection. The variation in certain parameters affects the stability of the system. Linear instability and nonlinear stability analysis are performed to predict the stability of the system, however; it is found that the linear and nonlinear analyses are not in agreement with the substantial change in internal heat generation. All numerical and graphical results of the subsequent analysis are obtained by using the Chebyshev-pseudospectral method.

Suggested Citation

  • Nandal, Reena & Mahajan, Amit, 2019. "Nonlinear stability analysis of a fluid saturated anisotropic Darcy–Brinkman medium with internal heat source," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 216-231.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:216-231
    DOI: 10.1016/j.amc.2019.03.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319302243
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.03.023?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.

    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:358:y:2019:i:c:p:216-231. 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.