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Force exerted on the jet toward a stationary vertical plate

Introduction

• Some liquid comes out in the structure of a jet from the outlet of a nozzle, which is fitted to a pipe into which the liquid is flowing under pressure.
• If any plate, which may be fixed practically moving, is placed in each path of the jet, a force is exerted through the jet on the plate.
• That force is obtained from Newton’s second law of motion otherwise of the impulse-momentum equation.
• Since the impact of the jet indicates the force exerted by the jet on a plate that may be stationary or moving.
 Image Source ~ Crafted With Â©Ishwaranand – 2020 ~ Image by Â©Ishwaranand
Fig,Â  Force exerted by the jet toward a vertical plate

Force exerted on the jet toward a stationary vertical plate

• Suppose a jet of water coming out of the nozzle, strikes a flat vertical plate as noted
Let.
v = Velocity of the jet,
d = Diameter of the jet,
A = Area from Cross-Section from the jet
= (Ï€/4)d^2Â
• Each jet after striking the plate will run along with the plate.
• Though the plate is at right angles to the jet.
• Onward the jet after striking will get deflected through 90Â°.
• Hence the component of the jet’s velocity, in the jet’s region, after striking order be zero.
• The force exerted by the jet toward the plate in the way of the jet.
Fx = Rate of change of momentum in the direction of a force
= (Initial momentum – Final momentum)/Time
= (Mass x Initial velocity – Mass x Final velocity)/Time
= (Mass/Time) x (Initial velocity – Final velocity)
= (Density x Volume / Time in sec.) x (Velocity of the jet before striking – Velocity of jet after striking)
= p(v/t) x (u – 0)
= p Q x (V)
= p x a x v x v
= pav^2
• For deriving the above equation, we have taken initial velocity minus final velocity or not final velocity minus initial velocity.
• If this force exerted on the jet is to be determined then the final minus initial velocity is exercised.
• Although if the force exerted by the jet on the plate is to be determined before initial velocity minus final velocity is exercised.

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Last updated on Tuesday - May 30th, 2023

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