Fluid Jets

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Where the effect of air resistance is small, the path of projectile is followed when a fluid discharged through an orifice into the air
The initial velocity of the jet is

V₀ = C_v?2gh

where h= head on center line of orifice, ft (m),
C_v =coefficient of velocity.

The direction of the initial velocity depends on the orientation of the surface in which the orifice is located.The velocity of the jet in the X direction (horizontal) remains constant

V_x = V₀ = Cv ?2gh

The velocity in the Y direction is initially zero and there after a function of time and the acceleration of gravity:

V_y = gt

The X coordinate at time t is
X = V_x t = tC_v ?2gh

The Y coordinate is

Y = V_avg t= gt²/2

where V_avg =average velocity over period of time t.

The equation for the path of the jet:

X₂ = C_v* C_v *4hY

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