A uniform jet of water leaves a 15 mm diameter nozzle and flows directly downwar

Question

A uniform jet of water leaves a 15 mm diameter nozzle and flows directly downward The jet speed at the nozzle exit plane is 2.5 m/s. The jet impinges on a horizontal disk and flows radially outward in a flat sheet. Obtain a general expression for the velocity the liquid stream would reach at the level of the disk. Develop an expression for the force required 10 hold the disk stationary, neglecting the mass of the disk and water sheet Evaluate for h = 3 m. Hint: gravity plays a role in this problem. Answer: 3.56 N.(up)

Explanation / Answer

Applying benoulli's equation between tip of nozzle and disk surface,

0.5**2.52 + *g*3 = 0.5**V2

this will give V at disk surface

also from continuity equation,

section area of jet at disk (A)= 2.5**((15/2)*0.001)2/V

now, force exerted by the jet on disk = V*dm/dt = V**A*V = V2**A

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