Continuity Equation for Area

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 cross-section area of the pipe.    

continuity equation 1

Continuity Equation for Area Formula

  • This formula calculates the initial cross-section area of the pipe.

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

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

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

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

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

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

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

  

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Tags: Flow Area