A fractal resistance model for flow through porous media

A fractal model for resistance of flow through porous media is developed based on the fractal characters of porous media and on the pore–throat model for capillary. The proposed model is expressed as a function of the pore–throat ratio, porosity, property of fluid, pore/capillary and particle sizes,...

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Bibliographic Details
Published inInternational journal of heat and mass transfer Vol. 50; no. 19; pp. 3925 - 3932
Main Authors Wu, Jinsui, Yu, Boming
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.09.2007
Elsevier
Subjects
Exact sciences and technology
Flow resistance
Flows through porous media
Fluid dynamics
Fractal
Fundamental areas of phenomenology (including applications)
Laminar flow
Nonhomogeneous flows
Physics
Porous media
Porous media
Flow resistance
Fractal
Laminar flow
Fractal system
Modelling
Porous medium flow
Analytical solution
Hydrodynamic drag
Scaling laws
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Summary:A fractal model for resistance of flow through porous media is developed based on the fractal characters of porous media and on the pore–throat model for capillary. The proposed model is expressed as a function of the pore–throat ratio, porosity, property of fluid, pore/capillary and particle sizes, fluid velocity (or Reynolds number) and fractal dimensions of porous media. There is no empirical constant and every parameter has clear physical meaning in the proposed model. The model predictions are compared with experiment data, and good agreement is found between them.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2007.02.009