The diameter of a pipe bend is 30 cm at inlet and 15 cm at outlet and the flow is turned

through $120^0$(angle measured in clockwise direction between direction of fluid flow at

inlet and outlet) in a vertical plane. The axis at inlet is horizontal and the centre of the

outlet section 1.5 m below the centre of the inlet section. Total volume of water in the

bend is $0.9 m^3$. Neglecting friction, calculate the magnitude and direction of the force

exerted on the bend by water flowing through it at 250 litr/s and when inlet pressure is

$0.15 N/mm^2$

Given: $D_1$=30 cm (Inlet diameter of pipe bend)

$D_2$=15 cm (Outlet diameter of pipe bend)

$θ=120°$ (Obtuse angle between inlet and outlet axis of pipe bend in a vertical plane)

$Z_1-Z_2$=1.5 m (Elevation difference between inlet and outlet)

$V=0.9 m^3$ (Volume of water in the bend)

Q ̇=250 lts/s (Discharge …