Question

A frictionless fluid of density $\rho$ flow through a bent pipe as shown below. If A is the cross sectional area and V is the velocity of flow, the forces exerted on segment 1 - 2 of the pipe in the x and y directions are, respectively,

• A. $\rho A{V}^{2}0$
• B. $\rho A{V}^2;\sqrt{2}\rho A{V}^2$
• C. 0; 0
• D. $0;\frac{1}{\sqrt{2}}\rho A{V}^2$

Answer 1

The correct option is C 0; 0

Force exerted on segment 1-2 in x-direction
$F_y=\rho Q[V_p-V_i]=\rho Q[V-V]=0$
Force exerted on segment 1-2 in y-direction
$F_y=\rho Q[0-0]=0$