The side wall of an open tank (wide) is connected to a tube whose cross –section is narrowing from S1 to S2. The water level is h higher. Neglecting viscosity, find the horizontal component of force tending to pull the tube out of the tank

RL2=rL1=yx  y=r+R−rL2−L1(x−L1) Applying equation of continuityπR2υ1=πr2υ2=πy2υ';  υefflux=2ghPX+12ρυ'2=Patm+12ρυefflux2Force on the nozzle tending to pull the tube is F=∫(Px−P0)sinθ2πydzdz=dysecθ and tanθ=R−rL2−L1∴ F=∫12(v2−u2)ρ2πyR−rL2−L1dy=ρπυ2∫rR(1−r4y4)ydy=ρgh[π(R2−r2)R2]