Hagen-Poiseuille Equation

fluids-hagen-poiseuille

Hagen-Poiseuille Equation

fluids

Pipe Flow

Q = \frac{\pi \Delta P d^4}{128 \mu L}

Volumetric flow rate for laminar pipe flow

Laminar flow (Re < 2300), fully developed

[
  {
    "symbol": "Q",
    "name": "Flow Rate",
    "unit": "m³/s",
    "siUnit": "m³/s",
    "imperialUnit": "ft³/s"
  },
  {
    "symbol": "ΔP",
    "name": "Pressure Drop",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "d",
    "name": "Pipe Diameter",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  },
  {
    "symbol": "μ",
    "name": "Dynamic Viscosity",
    "unit": "Pa·s",
    "siUnit": "Pa·s"
  },
  {
    "symbol": "L",
    "name": "Pipe Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  }
]

Q, ΔP, d, L

hagen, poiseuille, laminar, flow, viscous

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