IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i15p2731-d878510.html
   My bibliography  Save this article

Different Modes of Combustion Wave on a Lattice Burner

Author

Listed:
  • Vasily B. Novozhilov

    (Institute of Sustainable Industries and Liveable Cities, Victoria University, Melbourne, VIC 8001, Australia)

  • Boris V. Lidskii

    (N.N. Semenov Federal Research Centre for Chemical Physics, Russian Academy of Sciences, 4 Kosygina St., Building 1, Moscow 119991, Russia)

  • Vladimir S. Posvyanskii

    (N.N. Semenov Federal Research Centre for Chemical Physics, Russian Academy of Sciences, 4 Kosygina St., Building 1, Moscow 119991, Russia)

Abstract

The stabilization of a planar premixed flame front on a lattice (porous) burner is considered. The developed model captures all the important features of the phenomenon, while also admitting qualitative analytical investigation. It has been rigorously mathematically proven that there exist two different stabilization regimes: one with flame front located nearby the surface of the burner, and another with the flame front located inside the lattice. These two regimes result in qualitatively different gas temperature profiles along the flow that is monotonic and non-monotonic, respectively. The boundary between the two regimes is described in terms of dependence of the lattice solid material temperature on flow Peclet number. With similar temperature profiles, such dependencies may be both monotonic and non-monotonic. The transition between the two types of dependencies is controlled by the Arrhenius number. Conclusions of the study are supported by numerical analysis. They also compare favorably with the available experimental data. The novelty of the present approach is a fundamentally rigorous analytical analysis of the problem. The proposed analytical model, based on δ -function approximation of the chemical source term, agrees well (within 7% relative error) with the model based on the distributed description of the chemical reaction zone. The obtained results are important from both a theoretical and practical point of view. They demonstrate the existence of the two qualitatively different operating regimes for lattice burners, thus impacting design solutions for such devices. The results will be of great interest to the broader academic community, particularly in research areas where similar wave structures may emerge.

Suggested Citation

  • Vasily B. Novozhilov & Boris V. Lidskii & Vladimir S. Posvyanskii, 2022. "Different Modes of Combustion Wave on a Lattice Burner," Mathematics, MDPI, vol. 10(15), pages 1-20, August.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2731-:d:878510
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/15/2731/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/15/2731/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Billerot, Pierre-Lou & Dufresne, Louis & Lemaire, Romain & Seers, Patrice, 2020. "3D CFD analysis of a diamond lattice-based porous burner," Energy, Elsevier, vol. 207(C).
    2. Devi, Sangjukta & Sahoo, Niranjan & Muthukumar, P., 2020. "Experimental studies on biogas combustion in a novel double layer inert Porous Radiant Burner," Renewable Energy, Elsevier, vol. 149(C), pages 1040-1052.
    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. Peng, Qingguo & Xie, Bo & Yang, Wenming & Tang, Shihao & Li, Zhenwei & Zhou, Peng & Luo, Ningkang, 2021. "Effects of porosity and multilayers of porous medium on the hydrogen-fueled combustion and micro-thermophotovoltaic," Renewable Energy, Elsevier, vol. 174(C), pages 391-402.
    2. Li, Xing & Xie, Shengrong & Zhang, Jing & Li, Tao & Wang, Xiaohan, 2021. "Combustion characteristics of non-premixed CH4/CO2 jet flames in coflow air at normal and elevated temperatures," Energy, Elsevier, vol. 214(C).
    3. Peng, Qingguo & Shi, Zhiwei & Xie, Bo & Huang, Zhixin & Tang, Shihao & Li, Xianhua & Huang, Haisong & E, Jiaqiang, 2023. "Optimisation of a micro-thermophotovoltaic with porous media inserted burner for electrical power improvement," Renewable Energy, Elsevier, vol. 215(C).

    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:gam:jmathe:v:10:y:2022:i:15:p:2731-:d:878510. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.