Because the fluid is assumed to be incompressible and mass is conserved, at a particular moment in time, the amount of fluid that flows into the pipe must equal the amount of fluid that flows out. This fact is embodied in the continuity equation. Using the continuity equation, find the velocity v2 of the fluid flowing out of the right end of the pipe.

Respuesta :

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]