Continuity Equation
Continuity equation is the moving of a quantity through a pipe in a steady flow.
Continuity Equation for Area formula
This formula calculates the initial cross-section area of the pipe.
| \(\large{ A_1 = \frac{ \rho_2 \; A_2 \; v_2 }{ v_1 \; \rho_1 } }\) |
Where:
\(\large{ A_1 }\) = initial area cross-section
\(\large{ A_2 }\) = final area cross-section
\(\large{ \rho_2 }\) (Greek symbol rho) = final cross-section density
\(\large{ \rho_1 }\) (Greek symbol rho) = initial cross-section density
\(\large{ v_2 }\) = final cross-section velocity
\(\large{ v_1 }\) = initial cross-section velocity
Continuity Equation for Density formula
This formula calculates the initial density of the fluid.
| \(\large{ \rho_1 = \frac{ \rho_2 \; A_2 \; v_2 }{ A_1 \; v_1 } }\) |
Where:
\(\large{ \rho_1 }\) (Greek symbol rho) = initial cross-section density
\(\large{ A_2 }\) = final area cross-section
\(\large{ A_1 }\) = initial area cross-section
\(\large{ \rho_2 }\) (Greek symbol rho) = final cross-section density
\(\large{ v_2 }\) = final cross-section velocity
\(\large{ v_1 }\) = initial cross-section velocity
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.
| \(\large{ A_1 \; v_1 = A_2 \; v_2 }\) |
Where:
\(\large{ A_2 }\) = final area cross-section
\(\large{ A_1 }\) = initial area cross-section
\(\large{ v_2 }\) = final cross-section velocity
\(\large{ v_1 }\) = initial cross-section velocity
Continuity Equation for Velocity formula
This formula calculates the initial velocity in a pipe.
| \(\large{ v_1 = \frac{ \rho_2 \; A_2 \; v_2 }{ A_1 \; \rho_1 } }\) |
Where:
\(\large{ v_1 }\) = initial cross-section velocity
\(\large{ A_2 }\) = final area cross-section
\(\large{ A_1 }\) = initial area cross-section
\(\large{ \rho_2 }\) (Greek symbol rho) = final cross-section density
\(\large{ \rho_1 }\) (Greek symbol rho) = initial cross-section density
\(\large{ \rho_1 }\) (Greek symbol rho) = initial cross-section density
\(\large{ v_2 }\) = final cross-section velocity
Tags: Equations for Velocity Equations for Flow Equations for Mass Equations for Density Equations for Area