Difference between revisions of "Darcy's law"

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(Darcy's law History)
(Darcy's law History)
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'''Henry Darcy''' worked on the design of a filter large enough to process the Dijon towns daily water requirement <ref name=DakeF/>.
 
'''Henry Darcy''' worked on the design of a filter large enough to process the Dijon towns daily water requirement <ref name=DakeF/>.
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By flowing water through the sand pack Darcy established that, for any flow rate, the velocity of the flow was directly proportional to the difference in manometric heights<ref name=DakeF/>:
  
 
[[File:Les Fontaines Publiques de la Ville de Dijon.png|200px |link=https://books.google.ru/books?id=-FxYAAAAYAAJ&printsec=frontcover&hl=ru&source=gbs_ge_summary_r&cad=0#v=twopage&q&f=false]]
 
[[File:Les Fontaines Publiques de la Ville de Dijon.png|200px |link=https://books.google.ru/books?id=-FxYAAAAYAAJ&printsec=frontcover&hl=ru&source=gbs_ge_summary_r&cad=0#v=twopage&q&f=false]]

Revision as of 13:50, 22 July 2019

Darcy's law

Darcy's law. Equation and notations

Darcy's law is the fundamental law of fluid motion in porous media published by Henry Darcy in 1856 [1].

Darcy's law has been applied successfully to determine the flow through permeable media since the early days of Petroleum Engineering.

Darcy's law History

Henry Darcy worked on the design of a filter large enough to process the Dijon towns daily water requirement [2].

By flowing water through the sand pack Darcy established that, for any flow rate, the velocity of the flow was directly proportional to the difference in manometric heights[2]:

Les Fontaines Publiques de la Ville de Dijon.png

Darcy's law Equation

 q = -\frac{kA}{\mu} \frac{dP}{dL}

Conditions

  • Single fluid
  • Steady stay flow
  • Constant fluid compressibility
  • Constant temperature

Inflow Equations Derivation

Derivation of the Linear and Radial Inflow Equations Darcy's Law mtuz.png

Nomenclature

 A = cross-sectional area, cm2
 k = permeability, d
 L = length, cm
 P = pressure, atm
 q = flow rate, cm3/sec

Greek symbols

 \mu = Darcy's law fluid viscosity, cp

See Also

Darcy's law application in Petroleum Engineering Technology.

References

  1. Darcy, Henry (1856). "Les Fontaines Publiques de la Ville de Dijon". Paris: Victor Dalmont. 
  2. 2.0 2.1 Dake, L.P. (1978). Fundamentals of Reservoir Engineering. Amsterdam, Hetherlands: Elsevier Science. ISBN 0-444-41830-X.