Poiseuille's Law

“Poy-zai”
For laminar flow. Analogous to Ohm’s Law

$Q=\frac{\pi r^4\Delta P}{8\eta L}$

• $Q$ is the volumetric flow rate $\left(\frac{{\mathrm{m}}^3}{\mathrm{s}}\right)$
• $r$ is the tube radius
• $\Delta P$ is the pressure gradient between the two sides of the tube
• $\eta$ is the fluid viscosity
• $L$ is the tube length

$R=\frac{\Delta P}{Q}=\frac{8\eta L}{\pi r^4}$

• $R$ is the resistance from the tube the fluid experiences
• Analogous to resistance in circuits where $R=\frac{\rho L}{A}$

Relationship/Love Analogy

(credit: Tracy)
One can think of the transmittance of love as like the flow of fluid through a pipe:

$\Delta P=QR$

• $P$ (pressure differential between two ends bodies of water) is the effort one puts into a relationship
• $Q$ (volumetric flow rate) is the total flow of love the lover receives
• $R$ (resistance) is the resistance to the romantic’s love by the receiver

$R\sim \frac{\eta L}{A}$

• $R$ (resistance) is again the resistance to the romantic’s love by the receiver
• $\eta$ (viscosity of the fluid) is the medium of communication (speech, calls, texts, body language, quality time, physical touch, gifts, art, music, memes, shitposts, etc.)
• $L$ (length of pipe) is the proximity of the lovers to each other (either physically or emotionally, RIP long distance relationships)
• $A$ (cross-sectional area of pipe) is how receptive to being loved the receiver is