Puckwarden: Darcy's Law Espresso
Mechanics, Chaos & Fluids arc, page 102 of 193. Back to The Pixelated Physics Universe
Who they are
Puckwarden has one line, and says it often: “Pressure makes espresso. and theses.”
Puckwarden is a character of the Mechanics, Chaos & Fluids arc: drawn in pixels, ruled by one piece of real physics, and never allowed to break it.
The physics
Darcy's law: Q = −kAΔP/(μL) for flow through a porous puck.
$$ \begin{gathered} Q = -\frac{k A\, \Delta P}{\mu L} \end{gathered} $$
| Symbol | Meaning | SI unit |
|---|---|---|
| $Q$ | volumetric flow rate | m^3/s |
| $k$ | permeability of the puck | m^2 |
| $A$ | cross-sectional area | m^2 |
| $\Delta P$ | pressure difference | Pa |
| $\mu$ | dynamic viscosity | Pa·s |
| $L$ | puck thickness | m |
Sources
- H. Darcy, Les fontaines publiques de la ville de Dijon (1856)
Crossovers
Puckwarden meets Percolia (Percolation Threshold). Puckwarden's espresso flows through a porous puck by Darcy's law. Percolia decides whether such a medium has connected pores at all: below the percolation threshold, no spanning path exists and the flow stops.
Puckwarden meets Summitbrew (Boiling Point at Altitude). Summitbrew's water boils cooler at altitude. Puckwarden doesn't wait for boiling: she pushes water at about 9 bar through the puck, and Darcy's law says the flow scales with the pressure drop divided by viscosity and bed length.
Wear the lore
Concept keywords: Darcy's Law Espresso, Puckwarden, Mechanics, Chaos & Fluids, physics lore, Pixelated Physics