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Formulas

Poiseuille's Law

Flow rate in a pipe

Physics
Subject
Fluid Mechanics
Sub Subject
Viscosity
Chapter
Flow
Topic

Poiseuille's Law

📊 advanced
$$Q = \frac{\pi r^4 \Delta P}{8 \eta L}$$
Flow rate in a pipe
Variables & Units
$Q$
Flow rate
Unit: $m^3/s$
$r$
Radius
Unit: $m$
$\Delta P$
Pressure difference
Unit: $Pa$
$\eta$
Viscosity
Unit: $Pa\cdot s$
$L$
Length
Unit: $m$
Key Information
📐 Derived From
Navier-Stokes
💡 Example
Fluid flow in tube
🔧 Applications
Engineering
⚠️ Constraints
Laminar flow

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