Continuity Equation

Continuity Equation

For an incompressible fluid, mass flow rate remains constant.

### Formula

$$A_1v_1=A_2v_2$$

### Mass Flow Rate

$$\dot{m}=\rho Av$$

### Terminologies

- A → Cross-sectional area.

- v → Fluid velocity.

- ρ → Density.

### Conditions / Special Cases

For incompressible fluid:

$$\rho=constant$$

### Usage

- Used in fluid flow problems.