Pipe Sizing for Air

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Air Pressure Loss through Piping formula

\(\large{ p_l =   \frac  { \mu \; \cdot \; l \; \cdot \; v_a{^2}   \; \cdot \;  \rho  }  {2d }   }\)

Where:

\(\large{ p_l }\) = air pressure loss

\(\large{ \rho }\)  (Greek symbol rho) = density of the air

\(\large{ \mu }\)  (Greek symbol mu) = friction coefficient

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

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

\(\large{ v_a }\) = velocity of the air

Air Pipe Inside Diameter formula

\(\large{ d =   \sqrt {   \frac { 4 } { \pi }   \; \cdot \;  \frac { Q_a  } {60v_a}      }  }\)

Where:

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

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

\(\large{ Q_a }\) = flow rate of the air

\(\large{ v_a }\) = velocity of the air

Air Velocity through Piping formula

\(\large{ v_a = \frac { Q_a }    { 60 \pi  { \left( \frac {d}{2} \right) ^2  }   }   }\)

Where:

\(\large{ v_a }\) =  velocity of the air

\(\large{ Q_a }\) = flow rate of the air

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

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

Air Flow Rate through Piping formula

\(\large{ Q_a =  60 \pi  \cdot   v_a { \left( \frac {d}{2} \right) ^2  }   }\)

Where:

\(\large{ Q_a }\) = flow rate of the air

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

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

\(\large{ v_a }\) = velocity of the air

 

Tags: Equations for Pipe Sizing Equations for Air