Effective Conductivities of Random Fiber Beds†

Tsai, Dah–Shyang; Strieder, William

doi:10.1080/00986448608911698

Cited by 67 publications

(53 citation statements)

References 6 publications

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“…0 for periodic gels while a 2 , 0 for random ones). Furthermore, the results were in very good agreement with other independent studies [157][158][159][160].…”

Section: Ogston Sievingsupporting

confidence: 91%

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

et al. 2002

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Over the last two decades, the introduction of new methods such as pulsed-field gel electrophoresis and capillary array electrophoresis has made it possible to map and sequence entire genomes, including our own. The development of these experimental methods has been helped by the progress of theoretical and computational sciences, and the interactions between these three modi operandi of modern science are still pushing the limits of our technologies. We now see a clear trend towards proteomics and microfluidic (even nanofluidic!) devices. In this review, we take a look at the progress of the field over the last 3 years using the glasses of the theoretical scientist and focusing mostly on new ideas and concepts. About a dozen different subfields are discussed and reviewed. We conclude by giving a commented list of some of the best review articles published over the last 2-3 years.

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“…0 for periodic gels while a 2 , 0 for random ones). Furthermore, the results were in very good agreement with other independent studies [157][158][159][160].…”

Section: Ogston Sievingsupporting

confidence: 91%

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

et al. 2002

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“…Past theoretical work on ordinary diffusion in fibrous structures has primarily been focused on the derivation of upper bounds or approximations to the effective diffusivity using variational principles or other analytical methods (Milton, 1981;Tsai and Strieder, 1986;Torquato and Beasley, 1986;J o s h and Stell, 1986a,b). A numerical study on transition and bulk diffusion in fibrous beds was presented by Melkote and Jensen (1992), who employed a random walk procedure based on the concept of the first passage time to compute the effective diffusivity.…”

Section: Introductionmentioning

confidence: 99%

Ordinary and transition regime diffusion in random fiber structures

1993

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“…For this "inverse" case, considerably less information is available, due perhaps to the relative dearth of its application until the present interest in composite materials. Variational studies similar to those performed for spheres have established upper and lower bounds on conductivities in media comprised of unidirectional and random fibers (Tsai and Strieder, 1986;Faley andStrieder, 1987, 1988), but there are no values for effective diffusivities for randomly oriented fibers.…”

mentioning

confidence: 97%

Gas diffusion in random‐fiber substrates

Melkote

Jensen

1989

AIChE Journal

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A Monte Carlo (MC) technique involving explicit calculation of molecular trajectories in fibrous media is used to obtain effective transport coefficients in the Knudsen regime of gas diffusion. A fully penetrable cylinders (FPC) model is used to represent a fibrous substrate during the course of densification, as in composite fabrication processes such as chemical vapor infiltration (CVI). The calculated Knudsen permeabilities are in excellent agreement with available data. Accessible porosities are computed as a function of total porosity and are shown to depend on the fiber number density. The nonfiber phase is shown to percolate at 4 = 0.095, but the threshold is sensitive to the boundary conditions employed.

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Effective Conductivities of Random Fiber Beds†

Cited by 67 publications

References 6 publications

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

Theory of DNA electrophoresis (∼ 1999 –2002 ½)

Ordinary and transition regime diffusion in random fiber structures

Gas diffusion in random‐fiber substrates

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