Jet Strikes Curved Plate is Symmetrical or Unsymmetrical - Ishwaranand

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Jet Strikes Curved Plate is Symmetrical or Unsymmetrical

Jet strikes this curved plate on one end tangentially during the plate is symmetrical 

Let this jet strikes the curved fixed plate on one end tangentially as presented in Fig.
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Fig. The jet striking curved fixed plate on one end 
Let
v = Velocity of a jet of water,
θ = Angle made by jet with the x-axis at inlet tip of the curved plate.
  • If the plate is smooth including loss of energy due to impact is zero when the velocity of water at the outlet tip of the curved plate will be similar to V. 
  • This forces exerted by the jet of water in the during of x and y are,
Fx = (mass/sec) x [v1x – v2x]
= ρav[vcosθ – (-vcosθ)]
= ρav[vcosθ + vcosθ]
= 2ρav^2 cosθ

Fy = ρav [vly – v2y]
= ρav [vsinθ – vsinθ]
= 0

Jet strikes each curved plate at one end tangentially at this plate is unsymmetrical

Let
ϕ = angle made with tangent at outlet tip by the x-axis. 
  • The two components of the velocity at inlet are v1x = v cosθ and v1y = v sinθ
  • The two components of the velocity at the outlet are v2x = v cosϕ and v2y = v sinϕ 
The forces exerted by the jet of water in the directions of x and y are 

Fx = ρav [v1x - v2x]
= ρav [v cosθ - (-v cosϕ)]
= ρav [v cosθ + vcosϕ]
= ρav^2 [cosθ + cosϕ]

Fy = ρav [v1y - v2y]
= ρav [v sinθ - v sinϕ]
= ρav^2 [sinθ - sinϕ] 
Reference:
Fluid mechanics, By R. K. Bansal

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