Explanation:
Let the inlet Area of the pipe and inlet velocity be A1 and V1. Similarly, outlet area and velocity be A2, V2.
By conservation of mass per unit time we can write
mass/time = density×Volume/time
From here comes the continuity equation which says that
[tex]A_1V_1= A_2V_2[/tex]
Therefore,
[tex]V_2= \frac{A_1V_1}{A_2}[/tex]