# 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

$$\large{ \Delta p = \frac { 1.59923 \; p \; d^4 \; \rho } { m_f^2 } }$$
Symbol 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 $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$