# Pressure Differential

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

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 