# Pressure Differential

Pressure differential, abbreviated as \(\Delta p\), is the pressure difference between two points of a system.

## PRESSURE DIFFERENTIAL formula

\(\large{ \Delta p = \frac { 1.59923 \; p \; d^4 \; \rho } { m_f^2 } }\) |

### Where:

Units |
English |
Metric |

\(\large{ \Delta p }\) = pressure differential | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |

\(\large{ \rho }\) (Greek symbol rho) = density of fluid | \(\large{\frac{lbm}{ft^3}}\) | \(\large{\frac{kg}{m^3}}\) |

\(\large{ d }\) = inside diameter of pipe | \(\large{in}\) | \(\large{mm}\) |

\(\large{ m_f }\) = mass flow rate | \(\large{\frac{lbm}{sec}}\) | \(\large{\frac{kg}{s}}\) |

\(\large{ p }\) = pressure change | \(\large{\frac{lbf}{in^2}}\) | \(\large{Pa}\) |

## Related formula

\(\large{ \Delta p = Eu \; \rho \; U^2 }\) | (Euler number) |

### Where:

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

\(\large{ U }\) = characteristic velocity

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

\(\large{ Eu }\) = Euler number