Continuity Equation for Density Formula
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\( \rho_1 \;=\; \dfrac{ \rho_2 \cdot A_2 \cdot v_2 }{ A_1 \cdot v_1 }\) (Continuity Equation for Density) \( \rho_2 \;=\; \dfrac{ \rho_1 \cdot A_1 \cdot v_1 }{ A_2 \cdot v_2 }\) \( A_2 \;=\; \dfrac{ \rho_1 \cdot A_1 \cdot v_1 }{ \rho_2 \cdot v_2 }\) \( v_2 \;=\; \dfrac{ \rho_1 \cdot A_1 \cdot v_1 }{ \rho_2 \cdot A_2 }\) \( A_1 \;=\; \dfrac{ \rho_2 \cdot A_2 \cdot v_2 }{ \rho_1 \cdot v_1 }\) \( v_1 \;=\; \dfrac{ \rho_2 \cdot A_2 \cdot v_2 }{ \rho_1 \cdot A_1 }\) |
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| Symbol | English | Metric |
| \( \rho_1 \) (Greek symbol rho) = Initial Cross-section Density | \(lbm \;/\; ft^3\) | \(kg \;/\; m^3\) |
| \( \rho_2 \) (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 | \(in^2\) | \(mm^2\) |
| \( v_1 \) = Initial Area Cross-section Velocity | \(ft \;/\; sec\) | \(m \;/\; s\) |
Continuity equation is the moving of a quantity through a pipe in a steady flow. This formula calculates the initial density of the fluid.
