# Pressure Differential

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Pressure differential, abbreviated as $$\Delta p$$ or $$p_d$$, 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:

$$\large{ \Delta p }$$ = pressure differential

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

$$\large{ d }$$ = inside diameter of pipe

$$\large{ m_f }$$ = mass flow rate

$$\large{ p }$$ = pressure change

## Related PRESSURE DIFFERENTIAL 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