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.
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; establishes Darcy's law (Q ∝ pressure gradient × area / length) as an appendix. Darcy's law (1856) relates flow rate to pressure gradient through a permeable material, underpinning groundwater/geological transport.
- Porous-media flows obey
- 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.
- 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
- 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.
- 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.
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