• Title/Summary/Keyword: Generalized Darcy-Weisbach Relation

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Expansion of the Darcy-Weisbach Relation for Porous Flow Analysis (다공질 유동해석을 위한 Darcy-Weisbach 관계식의 확장)

  • Shin, Chang Hoon;Park, Warn Gyu
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.4
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    • pp.229-238
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    • 2017
  • 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.