Continuity Equation for Velocity

on . Posted in Fluid Dynamics

Continuity equation is the moving of a quantity through a pipe in a steady flow.  This formula calculates the initial velocity in a pipe.

    

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Continuity Equation for Velocity formula

  • This formula calculates the initial velocity in a pipe.

\( v_1 \;=\; \rho_2 \; A_2 \; v_2 \;/\; A_1 \; \rho_1 \)     (Continuity Equation for Velocity)

\( \rho_2 \;=\; v_1 \; A_1 \; \rho_1 \;/\; A_2 \; v_2 \)

\( A_2 \;=\; v_1 \; A_1 \; \rho_1 \;/\; \rho_2 \; v_2 \)

\( v_2 \;=\; v_1 \; A_1 \; \rho_1 \;/\; \rho_2 \; A_2 \)

\( A_1 \;=\; \rho_2 \; A_2 \; v_2 \;/\; v_1 \; \rho_1 \)

\( \rho_1 \;=\; \rho_2 \; A_2 \; v_2 \;/\; v_1 \; A_1 \)

Symbol English Metric
\(\ v_1 \) = Initial Cross-section Velocity \(ft \;/\; sec\) \(m \;/\; s\)
\( \rho_2 \)  (Greek symbol rho) =  Final Area Cross-section Density \(lbm \;/\; ft^3\) \(kg \;/\; m^3\)
\( A_2 \) = Final Area Cross-section \(in^2\) \(mm^2\)
\( v_2 \) = Final Area Cross-section Velocity \(ft \;/\; sec\) \(m \;/\; s\)
\( A_1 \) = Initial Area Cross-section \(in^2\) \(mm^2\)
\( \rho_1 \)  (Greek symbol rho) =  Initial Area Cross-section Density \(lbm \;/\; ft^3\) \(kg \;/\; m^3\)

 

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Tags: Velocity Flow