Les fontaines publiques de la ville de Dijon

Darcy, H. (1856). Les fontaines publiques de la ville de Dijon: exposition et application des principes à suivre et de la formule à employer dans les questions de distribution d'eau, etc.

Type

Book

Intellectual base

Review or monograph

Year

1856

Link

https://gallica.bnf.fr/ark:/12148/bpt6k624312

Cited from

mathematics, physics, systems_cybernetics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Flow
  • Porous-media flows obey

    This sourceEmpirical study of water flow through sand beds

• Gradient
  • Integrability or flow relation (often): in physical systems, the gradient drives a flow of the associated conserved quantity down the gradient (Fourier's law for heat, Fick's law for diffusion, Darcy's law for porous flow

    This sourceDarcy's law (Q = KA(ΔP/L), where K is permeability) is the foundation for groundwater hydrology, soil mechanics, petroleum engineering, and all porous-media transport. Although derived empirically, Darcy's law is consistent with Stokes flow through a pore network and generalizes to anisotropic media and nonlinear effects at high flow rates.

• Permeability
  • The gradient supplies the want (pressure, concentration, demand, inequality), the permeability supplies the can (whether pathways exist and how good they are), and the resistance supplies the cost.

    This sourceOriginal formulation of Darcy's law — volumetric flux proportional to permeability times the pressure gradient divided by viscosity — and the foundation of porous-media flow; the millidarcy unit follows from it.

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