**Equation of Continuity Physics:**

If a liquid is flowing in streamline flow in a pipe of non-uniform cross-sectional area, then rate of flow of liquid across any cross-section remains constant.

A continuity equation in physics is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity.

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## Equation of Continuity | Definition, Derivation – Hydrodynamics

**Equation of Continuity Derivation:**

i.e. a_{1}v_{1} = a_{2}v_{2} ⇒ av = constant

or

a ∝\(\frac{1}{v}\)

The velocity of liquid is slower where area of cross-section is larger and faster where area of cross-section is smaller.

The falling stream of water becomes narrower, as the velocity of falling stream of water increases and therefore its area of cross-section decreases. Deep water appears still because it has large cross-sectional area.

**Hydrodynamics:**

In physics, hydrodynamics of fluid dynamics explains the mechanism of fluid such as flow of liquids and gases. It has a wide range of applications such as evaluating forces and momentum on aircraft, prediction of weather, etc.