Question

Consider a venturi with a small hole drilled in the side of the throat. This hole is connected via a tube to a closed reservoir. The purpose of the venturi is to create a vacuum in the reservoir when the venturi is placed in an airstream. (The vacuum is defined as the pressure difference below the outside ambient pressure.) The venturi has a throat-to-inlet area ratio of 0.85. Calculate the maximum vacuum obtainable in the reservoir when the venturi is placed in an airstream of 90 m/s at standard sea level conditions

Answer 1

Answer:

($P_1-P_2$)=1913.31 N/m^2

Explanation:

given:

$\frac{A_t}{A_1}$=0.85

$V_1$=90 m/s

γ∞=1.23 kg/m^3

solution:

since outside pressure is atm pressure vaccum can be defined by ($P_1-P_2$)

$V_1$=√2($P_1-P_2$)/γ∞[$\frac{A_t}{A_1}^2$-1]

($P_1-P_2$)=1913.31 N/m^2