# Pressure Differential

Written by Jerry Ratzlaff on . Posted in Thermodynamics

## PRESSURE DIFFERENTIAL

Pressure differential ( $$\Delta p$$ or $$p_d$$) is the pressure difference between two points of a system.

### PRESSURE DIFFERENTIAL FORMULA

$$pressure \; differential \;=\; \frac { 1.59923 \; change \; in \; pressure \;\;x\;\; \left( \; pipe \; diameter \;\;x\;\; 4 \; \right) \;\;x\;\; fluid \; density } { mass \; flow \; rate^2 }$$

$$\Delta p = \frac { 1.59923 p_c d4 \rho }{ m^2 }$$

Where:

$$\Delta p$$ or $$p_d$$ = pressure differential

$$p_c$$ = change in pressure

$$m$$ = mass flow rate

$$d$$ = pipe diameter

$$\rho$$ (Greek symbol rho) = fluid density