Fluid Mechanics- Bernoulli Equation

[Link-]

The Bernoulli Equation for non-uniform flows have a constant at the kinetic energy term which describes the velocity profile at that place. The problem is this, If a have water flowing through a pipe with a parabolic velocity profile and then the water exit the pipe at free jet and there is now friction due to air, what would be the velocity profile at the free jet area, uniform or parabolic?
There is nothing in between these two points that would accelerate or deccelerate water.

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[Cyrus]

I don't think there is a simple formula for that, sorry. You have two complex fluids moving relative to each other.

 

[Link-]

I don't think there is a simple formula for that, sorry. You have two complex fluids moving relative to each other.

There is no friction from the air on the water.

Here is what I think, since there is nothing that would affect the velocity profile of the water, water would continue to have a parabolic profile. But that's what I think, what do you guys think?

 

[Cyrus]

No that's not true. When a fluid leaves an orifice its flowpath changes. It can expand or contract at the exit.

 

[Link-]

Ok then, that's very true but let assume that water is incompressible.