Continuity Equation for Mass

on . Posted in Fluid Dynamics

This formula states that the mass entering a system is equal to the mass leaves the system both at the same rate.

 

continuity equation mass 1

Continuity Equation for Mass formula

  • This formula states that the mass entering a system is equal to the mass leaves the system both at the same rate.

\( A_1 \; v_1 \;=\; A_2 \; v_2  \)     (Continuity Equation for Mass)

\( A_1  \;=\; A_2 \; v_2 \;/\; v_1 \)

\( v_1  \;=\; A_2 \; v_2 \;/\; A_1 \)

\( A_2  \;=\; A_1 \; v_1 \;/\; v_2 \)

\( v_2  \;=\;   A_1 \; v_1 \;/\; A_2 \)

Symbol English Metric
\( A_1 \) = Initial Area Cross-section \(in^2\) \(mm^2\)
\( v_1 \) = Initial Area Cross-section Velocity \(ft \;/\; sec\) \(m \;/\; s\)
\( A_2 \) = Final Area cross-section \(in^2\) \(mm^2\)
\( v_2 \) = Final Area Cross-section Velocity \(ft \;/\; sec\) \(m \;/\; s\)

    

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Tags: Flow Mass