Question

If the Test Section area has an air speed of 10 m/s, what would be the air speed at the Air Intake area

Answer 1

The speed of air at the intake area is $\frac{10A_2}{A_1}$ (m/s).

Continuity equation

The continuity equation is used to determine the flow rate at different sections of a pipe or fluid conduit.

The continuity equation is given as;

$A_1v_1 = A_2 v_2$

• Let the intake area = A₁
• Let the velocity of air in intake area = v₁
• Let the area of the test section = A₂
• Velocity of air in test section, v₂ = 10 m/s

The speed of air at the intake area is calculated as follows;

$A_1 v_1 = A_2 v_2\\\\ v_1 = \frac{A_2 v_2}{A_1} \\\\ v_1 = \frac{10A_2}{A_1}$

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