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.

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

\( A_1  \;=\;  \dfrac{ A_2 \cdot v_2 }{ v_1 }\)

\( v_1  \;=\;  \dfrac{ A_2 \cdot v_2 }{ A_1 }\)

\( A_2  \;=\;  \dfrac{ A_1 \cdot v_1 }{ v_2 }\)

\( v_2  \;=\;  \dfrac{ A_1 \cdot v_1 }{ A_2 }\)

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