An alternative form of the Darcy equation

Abstract

This study presents an alternative form of the Darcy equation. This alternative form will be presented with the use of Bejan number (Be) in the Left Hand Side (LHS) of the equation. The main advantage in this alternative form of the Darcy equation is presenting both the Left Hand Side (LHS) and the Right Hand Side (RHS) as dimensionless quantities. For instance, this is similar to the relation of Fanning friction factor with Reynolds number for Hagen-Poiseuille flow (fully developed laminar flow in a circular pipe).

Keywords

Dates

  • Submission Date2013-12-13
  • Revision Date2013-12-14
  • Acceptance Date2013-12-14
  • Online Date2014-04-05

DOI Reference

10.2298/TSCI131213042A

References

  1. H. Darcy, Les Fontaines Publiques de la Ville de Dijon (The Public Fountains of the City of Dijon), Victor Dalmont, Paris (1856).
  2. M. Muskat, The Flow of Homogeneous Fluids Through Porous Media, McGraw-Hill, New York, 1937.
  3. J. C. Ward, Turbulent flow in porous media, ASCE Journal of Hydraulic Div.90 (HY5) (1964), 1-12.
  4. L. F. Moody, Friction factors for pipe flow, Trans. ASME 66 (8) (1944), 671-677.
  5. A. Bejan, Convection Heat Transfer, first ed., John Wiley & Sons, Inc., New York, 1984.
  6. S. Bhattacharjee, W. L. Grosshandler, The formation of a wall jet near a high temperature wall under microgravity environment, Proceedings of ASME 1988 National Heat Transfer Conference, Volume 1 (A89-53251 23-34), pp. 711-716, Houston, TX, July 24-27, 1988.
  7. A. Bejan, E. Sciubba, The optimal spacing of parallel plates cooled by forced convection, International Journal of Heat and Mass Transfer 35 (12) (1992), 3259-3264.
  8. M. M. Awad, J. L. Lage, Extending the Bejan number to a general form, Thermal Science 17 (2) (2013), 631-633.
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