Equations of anomalous absorption onto swelling porous media

Su, Ninghu (2009) Equations of anomalous absorption onto swelling porous media. Materials Letters, 63 (28). pp. 2483-2485.

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Absorption is a very common process which takes place on various types of materials ranging from porous media to new nano-materials and biological tissues. The majority of studies reported on absorption to date are concentrated on “rigid” porous media, which contradict the properties of real porous media which undergo swelling and shrinking changes. Here we present new absorption equations derived from a fractional diffusion-wave equation (fDWE) for absorption onto swelling porous media in a material coordinate. We show that the cumulative anomalous absorption is I(t) = Stβ/2 and the absorption rate image, where S is the anomalous sorptivity and β the order of fractional derivative in fDWE. Using published data on cumulative absorption against time, the two adsorption parameters are determined: β = 1.2448 and S = 2.7775 cm2/h. The value of β = 1.2448 implies that absorption onto this swelling porous media belong to the category of super-diffusion, which is a phenomenon unknown to us before. In comparison, the traditional absorption equations do not have such features. When S is determined, the anomalous diffusivity, Dm, is calculated using its relation with S. We expect that the proposed new absorption equations will be valuable for explaining new phenomena and processes encountered in broader disciplines of science and engineering applications.

Item ID: 5634
Item Type: Article (Research - C1)
ISSN: 1873-4979
Keywords: anomalous absorption, swelling porous media, fractional diffusion-wave equation, cumulative absorption, absorption rate
Funders: JCU/XU/DERM
Date Deposited: 07 Dec 2009 01:37
FoR Codes: 04 EARTH SCIENCES > 0499 Other Earth Sciences > 049999 Earth Sciences not elsewhere classified @ 50%
09 ENGINEERING > 0912 Materials Engineering > 091201 Ceramics @ 20%
09 ENGINEERING > 0905 Civil Engineering > 090509 Water Resources Engineering @ 30%
SEO Codes: 96 ENVIRONMENT > 9609 Land and Water Management > 960999 Land and Water Management of Environments not elsewhere classified @ 40%
86 MANUFACTURING > 8610 Ceramics, Glass and Industrial Mineral Products > 861002 Ceramics @ 30%
84 MINERAL RESOURCES (excl. Energy Resources) > 8499 Other Mineral Resources (excl. Energy Resources) > 849999 Mineral Resources (excl. Energy Resources) not elsewhere classified @ 30%
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