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.

 

Formulas that use Hagen–Poiseuille Equation

\(\large{ \Delta p = \frac { 8 \; \mu \; l \; Q }{ \pi \; r^4 }   }\)   
\(\large{ \Delta p = \frac { 128 \; \mu \; l \; Q }{ \pi \; d^4 }   }\)   
\(\large{ \Delta p =  \frac{64}{Re} \; \frac{l}{d} \; \frac{v^2}{2\;g} }\)  

Where:

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

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

\(\large{ g }\) = gravitational acceleration

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

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

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

\(\large{ r }\) = radius

\(\large{ Re }\) = Reynolds number

\(\large{ v  }\) = velocity

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

 

Tags: Equations for Pressure Equations for Pipe