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Pipe Sizing for Air

Pipe sizing for air is selecting the appropriate pipe diameter for compressed air or other air streams while maintaining the required flow rate, pressure, velocity, and allowable pressure drop.  Pipe sizing depends on factors such as air flow rate, operating pressure, air temperature, pipe length, pipe material/roughness, fittings and valves, and the allowable pressure drop.  Because air is compressible, its density changes significantly with pressure and temperature, so air pipe sizing cannot generally be treated exactly like incompressible water pipe sizing.

Pipe Sizing for Air Formula

\( d \;=\;   \sqrt{ \dfrac{ 4 \cdot Q  }{ \pi \cdot v_a  }   }\)    (Pipe Sizing for Air)

\( Q \;=\;  \dfrac{  \pi \cdot d^2 \cdot v_a  }{  4  }  \)

\( v_a \;=\;  \dfrac{ 4 \cdot Q  }{ \pi \cdot d^2  }  \)

Symbol English Metric
\( d \) = Pipe Inside Diameter \(in\) \(mm\)
\( Q \)  = Volumetric Flow Rate \(ft^3\;/\;sec\) \(m^3\;/\;s\)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( v_a \) = Desired Air Velocity \(ft \;/\; sec\) \(m \;/\; s\)

For compressed air systems, the required pipe diameter is normally determined from the standard or actual volumetric flow rate, operating pressure, and an allowable pressure drop.  The calculation accounts for frictional losses along the straight pipe and additional losses from fittings, valves, filters, regulators, and other components.  A pipe that is too small produces excessive pressure loss and can cause inadequate pressure at downstream equipment.  A pipe that is excessively large reduces pressure loss but increases material and installation cost.  Therefore, practical pipe sizing seeks a diameter that satisfies the required flow and pressure drop criteria while remaining economically reasonable.

In engineering, the usual sequence is: establish the required air flow rate, determine the minimum and maximum operating pressures and temperature, establish the allowable pressure drop, account for the equivalent length of fittings and components, calculate the required pipe diameter, and then select a commercially available nominal pipe size.  The selected size is subsequently checked for pressure drop, velocity, flow capacity, and downstream operating pressure. For compressed-air distribution systems, it is also common to consider future capacity requirements because undersizing a main header can impose substantial pressure losses as additional users are connected. 

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