IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v98y2025i2d10.1140_epjb_s10051-025-00884-8.html
   My bibliography  Save this article

Influence of vertical throughflow on the linear and nonlinear stability analyses of Rayleigh–Bénard convection in a biviscous Bingham fluid saturating a porous medium

Author

Listed:
  • Pankaj Barman

    (National Institute of Technology Warangal)

  • D. Srinivasachrya

    (National Institute of Technology Warangal)

  • Dipak Barman

    (Rajiv Gandhi University)

Abstract

This article aims to investigate the influence of vertical throughflow on the stability analysis of a biviscous Bingham fluid-saturated horizontal porous layer. Specifically, both linear and nonlinear stability thresholds are examined. The Darcy–Brinkman law is employed to formulate the momentum equation for the system. In this study, all three types of boundary conditions are considered: rigid-rigid, rigid-free, and free-free. The well-known energy method is applied to conduct the nonlinear stability analysis, while the linear stability analysis is carried out using the normal mode approach. The resultant eigenvalue problems are solved using the bvp4c-scheme in MATLAB 2022(a). The critical Rayleigh number and the corresponding wave numbers are obtained numerically by minimizing the neutral stability curves for both theories, and are calculated for the specified values of the flow-governing parameters, with the results presented graphically. It is observed that an increase in the Péclet number (vertical throughflow) delays the onset of convection, whereas an increase in the biviscous Bingham fluid parameter accelerates the onset of convection. Graphic Abstract

Suggested Citation

  • Pankaj Barman & D. Srinivasachrya & Dipak Barman, 2025. "Influence of vertical throughflow on the linear and nonlinear stability analyses of Rayleigh–Bénard convection in a biviscous Bingham fluid saturating a porous medium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(2), pages 1-13, February.
    • Handle: RePEc:spr:eurphb:v:98:y:2025:i:2:d:10.1140_epjb_s10051-025-00884-8
    DOI: 10.1140/epjb/s10051-025-00884-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-025-00884-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-025-00884-8?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.

    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:spr:eurphb:v:98:y:2025:i:2:d:10.1140_epjb_s10051-025-00884-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.