IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/514797.html
   My bibliography  Save this article

A Dynamic Analysis for an Anaerobic Digester: Stability and Bifurcation Branches

Author

Listed:
  • Alejandro Rincón
  • Julieta Villa
  • Fabiola Angulo
  • Gerard Olivar

Abstract

This work presents a dynamic analysis for an anaerobic digester, supported on the analytical application of the indirect Lyapunov method. The mass-balance model considered is based on two biological reaction pathways and involves both Monod and Haldane representations of the specific biomass growth rates. The dilution rate, the influent concentration of chemical oxygen demand (COD), and the influent concentration of volatile fatty acids (VFA) are considered as stability parameters. Several characteristics are determined analytically for the normal operation equilibrium point: (i) equilibrium coordinates, (ii) parameter conditions that lead to positive values of the equilibrium state variables, (iii) parameter conditions for locally stable nature of the equilibrium, (iv) coordinates for the local bifurcation points—fold and transcritical—, and (v) coordinates of the crossing between bifurcation points. These factors are computed analytically and explicitly as expressions of the dilution rate and the influent concentrations of COD and VFA.

Suggested Citation

  • Alejandro Rincón & Julieta Villa & Fabiola Angulo & Gerard Olivar, 2014. "A Dynamic Analysis for an Anaerobic Digester: Stability and Bifurcation Branches," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-14, November.
    • Handle: RePEc:hin:jnlmpe:514797
    DOI: 10.1155/2014/514797
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2014/514797.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2014/514797.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/514797?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
    ---><---

    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:hin:jnlmpe:514797. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.