Darcy’s law
E647520
Darcy’s law is a fundamental equation in fluid mechanics that relates the volumetric flow rate of a fluid through a porous medium to the pressure gradient, permeability, and fluid viscosity.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
empirical law
ⓘ
law in fluid mechanics ⓘ law in hydrogeology ⓘ physical law ⓘ |
| appliesTo | laminar flow in porous media ⓘ |
| assumes |
homogeneous porous medium
ⓘ
incompressible fluid ⓘ isotropic porous medium ⓘ steady-state flow ⓘ |
| category |
porous media flow
ⓘ
transport phenomena ⓘ |
| describes | flow of fluid through porous media ⓘ |
| expressedAs | specific discharge q = -K (dh/dl) ⓘ |
| field |
fluid mechanics
NERFINISHED
ⓘ
groundwater hydraulics ⓘ hydrogeology ⓘ petroleum engineering ⓘ soil mechanics ⓘ |
| generalizedBy | Forchheimer equation NERFINISHED ⓘ |
| hasForm | Q = -k A (ΔP / (μ L)) ⓘ |
| hasLimitation |
does not accurately describe turbulent flow in porous media
ⓘ
less accurate for very high flow velocities ⓘ |
| implies |
flow rate is inversely proportional to viscosity
ⓘ
flow rate is proportional to permeability ⓘ flow rate is proportional to pressure gradient ⓘ |
| introducedIn | 1856 ⓘ |
| involvesQuantity |
cross-sectional area
ⓘ
dynamic viscosity ⓘ hydraulic conductivity ⓘ length of flow path ⓘ permeability ⓘ pressure gradient ⓘ volumetric flow rate ⓘ |
| mathematicalForm | linear relationship between flux and pressure gradient ⓘ |
| namedAfter | Henry Darcy NERFINISHED ⓘ |
| originatedFrom | experiments on water flow through sand filters in Dijon ⓘ |
| permeabilityUnit |
darcy
ⓘ
square metre ⓘ |
| relatedTo |
Darcy–Weisbach equation
NERFINISHED
ⓘ
Hagen–Poiseuille equation NERFINISHED ⓘ |
| relates |
volumetric flow rate to fluid viscosity
ⓘ
volumetric flow rate to permeability ⓘ volumetric flow rate to pressure gradient ⓘ |
| usedIn |
contaminant transport modeling
ⓘ
filtration processes ⓘ groundwater flow modeling ⓘ reservoir engineering ⓘ soil drainage analysis ⓘ |
| validWhen | Reynolds number in pores is low ⓘ |
Referenced by (1)
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