Question

What is continuity equation?

Answer 1

Continuity principle

Consider a liquid is flowing in a pipe of irregular cross sectional areas.

1. The law of continuity is stated as the product of cross sectional area of pipe and velocity of the liquid is constant at all points. When the diameter of the pipe decreases velocity of liquid increases.
2. Consider A₁ and A₂ as cross sectional area at two points on a pipe at which liquid velocities are v₁ and v₂, then the law is expressed as $A_1{v}_1=A_2{v}_2$

Explanation

Continuity equation is defined for transportation of some quantity. For a streamline flow of liquids in a pipe, continuity equation is expressed as the liquid flow rate (R) is equal to the product of cross sectional area (A) of the pipe and velocity of liquid (v) through the pipe.

$R=Av=Cons\tan t$