IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i13p4938-d1179057.html
   My bibliography  Save this article

Unstable Convection in a Vertical Double–Layer Porous Slab

Author

Listed:
  • Stefano Lazzari

    (Department of Architecture and Design, University of Genoa, Stradone S. Agostino 37, 16123 Genoa, Italy
    These authors contributed equally to this work.)

  • Michele Celli

    (Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
    These authors contributed equally to this work.)

  • Antonio Barletta

    (Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
    These authors contributed equally to this work.)

  • Pedro Vayssière Brandão

    (Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
    These authors contributed equally to this work.)

Abstract

A convective stability analysis of the flow in a vertical fluid-saturated porous slab made of two layers with different thermophysical properties is presented. The external boundaries are isothermal with one of them impermeable while the other is open to an external fluid reservoir. This study is a development of previous investigations on the onset of thermal instability in a vertical heterogeneous porous slab where the heterogeneity may be either continuous or piecewise as determined by a multilayer structure. The aim of this paper is investigating whether a two-layer structure of the porous slab may lead to the onset of cellular convection patterns. The linear stability analysis is carried out under the assumption that one porous layer has a thermal conductivity much higher than the other layer. This assumption may be justified for the model of a heat transfer enhancement system involving a saturated metal foam. A flow model for the natural convection based on Darcy’s momentum transfer in a porous medium is adopted. The buoyancy-induced basic flow state is evaluated analytically. Small-amplitude two-dimensional perturbations of the basic state are introduced, thus leading to a linear set of governing equations for the disturbances. A normal mode analysis allows one to formulate the stability eigenvalue problem. The numerical solution of the stability eigenvalue problem provides the onset conditions for the thermal instability. Moreover, the results evidence that the permeability ratio of the two layers is a key parameter for the critical conditions of the instability.

Suggested Citation

  • Stefano Lazzari & Michele Celli & Antonio Barletta & Pedro Vayssière Brandão, 2023. "Unstable Convection in a Vertical Double–Layer Porous Slab," Energies, MDPI, vol. 16(13), pages 1-10, June.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:13:p:4938-:d:1179057
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/13/4938/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/16/13/4938/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Imbabi, Mohammed Salah-Eldin, 2006. "Modular breathing panels for energy efficient, healthy building construction," Renewable Energy, Elsevier, vol. 31(5), pages 729-738.
    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. Karanafti, Aikaterina & Theodosiou, Theodoros & Tsikaloudaki, Katerina, 2022. "Assessment of buildings’ dynamic thermal insulation technologies-A review," Applied Energy, Elsevier, vol. 326(C).
    2. Kimber, Mark & Clark, William W. & Schaefer, Laura, 2014. "Conceptual analysis and design of a partitioned multifunctional smart insulation," Applied Energy, Elsevier, vol. 114(C), pages 310-319.
    3. Yang, Yang & Chen, Sarula, 2022. "Thermal insulation solutions for opaque envelope of low-energy buildings: A systematic review of methods and applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    4. Kishore, Ravi Anant & Bianchi, Marcus V.A. & Booten, Chuck & Vidal, Judith & Jackson, Roderick, 2021. "Enhancing building energy performance by effectively using phase change material and dynamic insulation in walls," Applied Energy, Elsevier, vol. 283(C).
    5. Kyung-Soon Park & Sang-Woo Kim & Seong-Hwan Yoon, 2016. "Application of Breathing Architectural Members to the Natural Ventilation of a Passive Solar House," Energies, MDPI, vol. 9(3), pages 1-15, March.
    6. Loonen, R.C.G.M. & Trčka, M. & Cóstola, D. & Hensen, J.L.M., 2013. "Climate adaptive building shells: State-of-the-art and future challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 483-493.
    7. Miren Juaristi & Thaleia Konstantinou & Tomás Gómez-Acebo & Aurora Monge-Barrio, 2020. "Development and Validation of a Roadmap to Assist the Performance-Based Early-Stage Design Process of Adaptive Opaque Facades," Sustainability, MDPI, vol. 12(23), pages 1-27, December.

    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:jeners:v:16:y:2023:i:13:p:4938-:d:1179057. 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.