Frequency-dependent viscous flow in channels with fractal rough surfaces

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The viscous dynamic permeability of some fractal-like channels is studied. For our particular class of geometries, the ratio of the pore surface area-to-volume tends to {infinity} (but has a finite cutoff), and the universal scaling of the dynamic permeability, k({omega}), needs modification. We performed accurate numerical computations of k({omega}) for channels characterized by deterministic fractal wall surfaces, for a broad range of fractal dimensions. The pertinent scaling model for k({omega}) introduces explicitly the fractal dimension of the wall surface for a range of frequencies across the transition between viscous and inertia dominated regimes. The new model provides excellent agreement with ... continued below

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053603

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Cortis, A. & Berryman, J.G. May 1, 2010.

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The viscous dynamic permeability of some fractal-like channels is studied. For our particular class of geometries, the ratio of the pore surface area-to-volume tends to {infinity} (but has a finite cutoff), and the universal scaling of the dynamic permeability, k({omega}), needs modification. We performed accurate numerical computations of k({omega}) for channels characterized by deterministic fractal wall surfaces, for a broad range of fractal dimensions. The pertinent scaling model for k({omega}) introduces explicitly the fractal dimension of the wall surface for a range of frequencies across the transition between viscous and inertia dominated regimes. The new model provides excellent agreement with our numerical simulations.

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053603

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  • Journal Name: Physics of Fluids; Journal Volume: 22; Journal Issue: 5

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  • Report No.: LBNL-3602E
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1063/1.3407659 | External Link
  • Office of Scientific & Technical Information Report Number: 984965
  • Archival Resource Key: ark:/67531/metadc1014545

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Office of Scientific & Technical Information Technical Reports

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  • May 1, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Oct. 17, 2017, 6:13 p.m.

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Cortis, A. & Berryman, J.G. Frequency-dependent viscous flow in channels with fractal rough surfaces, article, May 1, 2010; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc1014545/: accessed December 10, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.