IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v425y2022ics0096300322001461.html
   My bibliography  Save this article

Nonlinear stability analysis of double diffusive convection in a fluid saturated porous layer with variable gravity and throughflow

Author

Listed:
  • Tripathi, Vinit Kumar
  • Mahajan, Amit

Abstract

This paper develops a detailed study of linear and nonlinear stability analyses, for the double diffusive convection problem in a porous medium, when heating is done from below and, salting is done from below as well as from above. The linear analysis is performed using normal mode technique and nonlinear analysis is developed using energy technique. The Chebyshev pseudo-spectral technique is performed to analyze the effect of variable gravity field and throughflow on the behavior of system stability. The results obtained from linear and nonlinear analysis are compared and found that the results are in better agreement for the heated from below and salted from above system however, the comparatively less agreement is obtained for the system when both heating and salting are done from below. The direction of throughflow and gravity field have considerable effect on the stability of system. The behavior of gravity field is invariant for both the type of system heating and salting from below as well as heating from below and salting from above. The solute Rayleigh number stabilizes the system for heating from below and salting from below, however, destabilizes the system for heating from below and salting from above. In the absence of gravity field, a comparatively good agreement between thresholds is seen for Q = 0, however, the agreement is shifted towards positive value of Q or negative value of Q when gravity is found to be present in the system. Thus, effect of gravity field is dominant on the influences of throughflow on the stability of system.

Suggested Citation

  • Tripathi, Vinit Kumar & Mahajan, Amit, 2022. "Nonlinear stability analysis of double diffusive convection in a fluid saturated porous layer with variable gravity and throughflow," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001461
    DOI: 10.1016/j.amc.2022.127060
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322001461
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127060?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. Harfash, Akil J., 2016. "Resonant penetrative convection in porous media with an internal heat source/sink effect," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 323-342.
    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. Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    2. Meften, Ghazi Abed, 2021. "Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    3. Harfash, Akil J. & Meften, Ghazi Abed, 2018. "Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 18-25.
    4. Harfash, Akil J. & Meften, Ghazi Abed, 2019. "Couple stresses effect on instability and nonlinear stability in a double diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 301-320.

    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:425:y:2022:i:c:s0096300322001461. 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.