Hagen–Poiseuille Equation

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Hagen–Poiseuille equation, also called Hagen–Poiseuille Law, Poiseuille equation, or Poiseuille law, gives the pressure loss in a fluid flowing through a long cylindrical pipe.

 

Hagen–Poiseuille Equation formula

\(\large{ \Delta p = \frac { 8 \; \mu \; l \; Q }{ \pi \; r^4 }   }\)   

Where:

\(\large{ \Delta p }\) = pressure loss

\(\large{ \mu }\)  (Greek symbol mu) = dynamic viscosity

\(\large{ l }\) = length of pipe

\(\large{ \pi }\) = Pi

\(\large{ r }\) = pipe inside diameter

\(\large{ Q }\) = volumetric flow rate

 

Tags: Equations for Pressure Equations for Pipe