# What is Continuity Equation based on?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The equation that elucidates the transport of some quantity is referred to as the Continuity equation. It is because of its steady one-dimensional flow. The formula of the Continuity equation is A1V1 = A2Vwhere A1 and Aare the cross-sectional areas of region 1 and region 2 respectively, and V1 and Vare the flow velocity in region 1 and region 2 respectively.

## Answer: The continuity Equation is based on the conservation of law.

A continuity equation can be used for describing energy, mass, electric charge, momentum, and other natural quantities. The equation includes source and sink terms, which enable them to explain quantities. It can be expressed as a differential form that applies at a point and an integral form that applies to any finite region. This equation underlies transport equations such as the Boltzmann transport equation, convection-diffusion equation, and Navier–Stokes equations.

Summary:

## What is the Continuity Equation based on?

The continuity equation is based on the conservation of law. It is also defined as the product of the velocity of the fluid and the cross-sectional area of the pipe at any given point.

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