Continuity Equation for Density

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

continuity equation 1

This formula calculates the initial density of the fluid.

 

Continuity Equation for Density formula

\(\large{ \rho_1 = \frac{ \rho_2 \; A_2 \; v_2 }{ A_1 \; v_1 }  }\)   

Where:

 Units English Metric
\(\large{ \rho_1 }\)  (Greek symbol rho) =  initial cross-section density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ A_2 }\) = final area cross-section \(\large{in^2}\) \(\large{mm^2}\)
\(\large{ A_1 }\) = initial area cross-section \(\large{in^2}\) \(\large{mm^2}\)
\(\large{ \rho_2 }\)  (Greek symbol rho) =  final cross-section density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ v_2 }\) = final cross-section velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ v_1 }\) = initial cross-section velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)

 

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Tags: Flow Equations Density Equations