The air flow is carried in a 12 inch circle a pipe. The air flow is 70 Fahrenhei

Question

The air flow is carried in a 12 inch circle a pipe. The air flow is 70 Fahrenheit and under atmospheric pressure off 12.4 psi. The pitot-tube is used to measure the air flow velocity at the centerline. The pressure differential is measured to be 3 inches in a water manometer. Find the centralline velocity?

The air flow is carried in a 12-inch circular pipe. The airflow is at70degreeF and under an atmospheric pressure of 12.4 psi. The pitot-tube is used to measure the airflow velocity at the centerline. The pressure differential is measured to be 3 inches in a water manometer. Find the centerline velocity. ha =(yw/ya-1)hw

Explanation / Answer

Water density = 62.4 lb/ft^3

3'' of water = (3/12)*62.4 = 15.6 lb/ft^2 = 15.6 / 12^2 psi = 0.1083 psi

Air density = P / (RT)

= 12.4 / (0.37*(70+460))

= 0.0632 lb/ft^3

P_tot = P_st + 1/2*rho*V^2

P_tot - P_st = 1/2*rho*V^2

0.1083*12^2 *32.2 = 1/2*0.0632*V^2

V = 126.06 ft/s

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