Equation of Continuity

📊 intermediate

$$A_1 v_1 = A_2 v_2$$

Mass flow rate remains constant in a tube of varying cross-section.

Variables & Units

$A$

Area

Unit: $m^2$

$v$

Velocity

Unit: $m/s$

Key Information

📐 Derived From

Conservation of Mass.

💡 Example

Water flowing faster through a narrow nozzle.

🔧 Applications

Plumbing and hydraulic systems.

⚠️ Constraints

Incompressible fluid.

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