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

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  • 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
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    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. 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.
    4. 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.
    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.
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    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).

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