The side wall of an open tank (wide) is connected to a tube whose cross –section is narrowing from $S_{1}$ to $S_{2} .$ The water level is $h$ higher. Neglecting viscosity, find the horizontal component of force tending to pull the tube out of the tank

Question

Infinity Learn · Accepted Answer

$$RL2=rL1=yx$$  $$y=r+R$$−$$rL2$$−$$L1(x$$−$$L1)$$ Applying equation of continuity$$π$$$$R2$$υ$$1=$$π$$r2$$υ$$2=$$π$$y2$$υ';  υ$$efflux=2ghPX+12$$ρυ'$$2=Patm+12$$ρυ$$efflux2Force$$ on the nozzle tending to pull the tube is $$F=$$∫(Px$$−$$P0)$$sin$$θ$$2$$$$π$$$$ydzdz=dysec$$θ and $$tan$$θ$$=R$$−$$rL2$$−$$L1$$∴ $$F=$$∫$$12(v2$$−$$u2)$$ρ$$2$$$$π$$yR−$$rL2$$−$$L1dy=$$ρπυ$$2$$∫$$rR(1$$−$$r4y4)ydy=$$ρgh[π$$(R2$$−$$r2)R2$$]

The side wall of an open tank (wide) is connected to a tube whose cross –section is narrowing from $S_{1}$ to $S_{2} .$ The water level is $h$ higher. Neglecting viscosity, find the horizontal component of force tending to pull the tube out of the tank

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The side wall of an open tank (wide) is connected to a tube whose cross –section is narrowing from $S_{1}$ to $S_{2} .$ The water level is $h$ higher. Neglecting viscosity, find the horizontal component of force tending to pull the tube out of the tank