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http://dx.doi.org/10.3795/KSME-B.2017.41.4.229

Expansion of the Darcy-Weisbach Relation for Porous Flow Analysis  

Shin, Chang Hoon (Research Institute, Korea Gas Corporation (KOGAS))
Park, Warn Gyu (School of Mechanical Engineering, Busan Nat'l Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.41, no.4, 2017 , pp. 229-238 More about this Journal
Abstract
This study started to deduce a permeability relationship that can consider the geometric features of various porous media under different flow regimes. With reference to the previous works of Kozeny and Carman, the conventional Darcy-Weisbach relation (Darcy's friction flow equation) was reviewed and expanded for porous flow analysis. Based on the capillary model, this relation was transformed to the friction equivalent permeability (FEP) definition. The validity of the FEP definition was confirmed by means of comparison with the Kozeny-Carman equation. Hereby, it was shown that the FEP definition is the generalized form of the Kozeny-Carman equation, which is confined to laminar flow through a circular capillary. In conclusion, the FEP definition as a new permeability estimation method was successfully developed by expanding the Darcy-Weisbach relation for porous flow analyses.
Keywords
Generalized Darcy-Weisbach Relation; Friction Equivalent Permeability(FEP); Porous Flow Analysis; Porous Friction Factor; Porous Hydraulic Diameter;
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