IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v295y2001i1p17-30.html
   My bibliography  Save this article

Physics of the cigarette filter: fluid flow through structures with randomly-placed obstacles

Author

Listed:
  • Stanley, H.Eugene
  • Andrade, José S

Abstract

This talk briefly reviews the subject of fluid flow through disordered media. In particular, we focus on the sorts of considerations that may be necessary to move statistical physics from the description of idealized flows in the limit of zero Reynolds number to more realistic flows of real fluids moving at a nonzero velocity, where inertia effects mean that dangling ends are explored and the backbone is not entirely explored by the fluid. We discuss several intriguing features, such as the surprisingly sharp change in behavior from a localized to delocalized flow structure (distribution of flow velocities) that seems to occur at a critical value of Re which is orders of magnitude smaller than the critical value of Re where turbulence sets in.

Suggested Citation

  • Stanley, H.Eugene & Andrade, José S, 2001. "Physics of the cigarette filter: fluid flow through structures with randomly-placed obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 17-30.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:17-30
    DOI: 10.1016/S0378-4371(01)00140-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101001406
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(01)00140-6?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. King, Peter R. & Jr., José S.Andrade & Buldyrev, Sergey V. & Dokholyan, Nikolay & Lee, Youngki & Havlin, Shlomo & Stanley, H.Eugene, 1999. "Predicting oil recovery using percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 107-114.
    2. Dokholyan, Nikolay V & Buldyrev, Sergey V & Havlin, Shlomo & King, Peter R & Lee, Youngki & Stanley, H.Eugene, 1999. "Distribution of shortest paths in percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 55-61.
    3. Grassberger, Peter, 1999. "Conductivity exponent and backbone dimension in 2-d percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(3), pages 251-263.
    4. Stanley, H.Eugene & Andrade, José S. & Havlin, Shlomo & Makse, Hernán A. & Suki, Béla, 1999. "Percolation phenomena: a broad-brush introduction with some recent applications to porous media, liquid water, and city growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 5-16.
    5. King, P.R & Buldyrev, S.V & Dokholyan, N.V & Havlin, S & Lee, Y & Paul, G & Stanley, H.E, 1999. "Applications of statistical physics to the oil industry: predicting oil recovery using percolation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 60-66.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. García-Miguel, Carmen & San Martín, Jesús, 2021. "Covering fractals with constant radius tiles: Distribution functions and their implications for resource management," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

    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. Stalgorova, Ekaterina & Babadagli, Tayfun, 2014. "Scaling of production data obtained from Random Walk Particle Tracking simulations in highly fractured porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 181-192.
    2. Ganjeh-Ghazvini, Mostafa & Masihi, Mohsen & Ghaedi, Mojtaba, 2014. "Random walk–percolation-based modeling of two-phase flow in porous media: Breakthrough time and net to gross ratio estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 214-221.
    3. Manwart, C. & Hilfer, R., 2002. "Numerical simulation of creeping fluid flow in reconstruction models of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 706-713.
    4. Gross, Bnaya & Bonamassa, Ivan & Havlin, Shlomo, 2021. "Interdependent transport via percolation backbones in spatial networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    5. Sadeghnejad, S. & Masihi, M. & King, P.R., 2013. "Dependency of percolation critical exponents on the exponent of power law size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6189-6197.
    6. Zhang, Zhongjin & Hou, Pengcheng & Fang, Sheng & Hu, Hao & Deng, Youjin, 2021. "Critical exponents and universal excess cluster number of percolation in four and five dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    7. Stanley, H.Eugene & Andrade, José S. & Havlin, Shlomo & Makse, Hernán A. & Suki, Béla, 1999. "Percolation phenomena: a broad-brush introduction with some recent applications to porous media, liquid water, and city growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 5-16.
    8. Vašata, Daniel & Exner, Pavel & Šeba, Petr, 2011. "Built-up structure criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3922-3931.
    9. Koohi Lai, Z. & Jafari, G.R., 2013. "Non-Gaussianity effects in petrophysical quantities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5132-5137.
    10. Xiao, Di & Wang, Jun, 2012. "Modeling stock price dynamics by continuum percolation system and relevant complex systems analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4827-4838.
    11. Duccio Piovani & Carlos Molinero & Alan Wilson, 2017. "Urban retail location: Insights from percolation theory and spatial interaction modeling," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-13, October.
    12. Haibo Tang & Yangsheng Zhao & Zhiqin Kang & Zhaoxing Lv & Dong Yang & Kun Wang, 2022. "Investigation on the Fracture-Pore Evolution and Percolation Characteristics of Oil Shale under Different Temperatures," Energies, MDPI, vol. 15(10), pages 1-14, May.
    13. Najafi, M.N. & Ghaedi, M., 2015. "Geometrical clusters of Darcy’s reservoir model and Ising universality class," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 82-91.

    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:phsmap:v:295:y:2001:i:1:p:17-30. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.