FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Fractal Analysis of Surface Roughness of Particles in Porous Media |
CAI Jian-Chao, YU Bo-Ming, ZOU Ming-Qing, MEI Mao-Fei |
School of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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Cite this article: |
CAI Jian-Chao, YU Bo-Ming, ZOU Ming-Qing et al 2010 Chin. Phys. Lett. 27 024705 |
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Abstract A fractal dimension for roughness height (RH) is introduced to characterize the degree of roughness or disorder of particle surface characters which significantly influence physical-chimerical processes in porous media. An analytical expression for the fractal dimension of RH on statistically self-similar fractal surfaces is derived and is expressed as a function of roughness parameters. The specific surface area (SSA) of porous materials with spherical particles is also derived, and the proposed fractal model for the SSA of particles with rough surfaces is expressed as a function of fractal dimension for RH and fractal dimension for particle size distribution, relative roughness of particle surface, and ratio of the minimum to the maximum particle diameters of spherical particles.
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Keywords:
47.56.+r
47.15.-x
05.45.Df
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Received: 08 September 2009
Published: 08 February 2010
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