Pressure Differential

Written by Jerry Ratzlaff on . Posted in Thermodynamics

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

 

PRESSURE DIFFERENTIAL formulas

\(\large{ \Delta p = \frac {   1.59923 \; p \; d^4 \; \rho   }  { m_f^2 } }\)   
\(\large{ \Delta p = Eu  \; \rho \;  U^2  }\)  (Euler number
\(\large{ \Delta p = SG \; \left( {\frac{Q} {C_c} } \right)  ^{\frac{1}{2} } }\) (flow coefficient)

Where:

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

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

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

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

\(\large{ C_v }\) = flow coefficient

\(\large{ Q }\) = flow rate capacity

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

\(\large{ m_f }\) = mass flow rate

\(\large{ p }\) = pressure change

\(\large{ SG }\) = specific gravity of fluid (water at 60°F = 1.0000)

\(\large{ C_v = 1.157 \; K_v  }\)     (US units)

\(\large{ K_v = 0.8646 \; C_v  }\)     (SI )units

 

Tags: Equations for Pressure Equations for Differential