This point where the contraction of the jet steps and the fluid velocities became parallel is known as
Answers
Bernoulli's Equation
The Bernoulli equation states that,
where
points 1 and 2 lie on a streamline,
the fluid has constant density,
the flow is steady, and
there is no friction.
Although these restrictions sound severe, the Bernoulli equation is very useful, partly because it is very simple to use and partly because it can give great insight into the balance between pressure, velocity and elevation.
How useful is Bernoulli's equation? How restrictive are the assumptions governing its use? Here we give some examples.
Pressure/velocity variation
Consider the steady, flow of a constant density fluid in a converging duct, without losses due to friction . The flow therefore satisfies all the restrictions governing the use of Bernoulli's equation. Upstream and downstream of the contraction we make the one-dimensional assumption that the velocity is constant over the inlet and outlet areas and parallel.
One-dimensional duct showing control volume.
When streamlines are parallel the pressure is constant across them, except for hydrostatic head differences (if the pressure was higher in the middle of the duct, for example, we would expect the streamlines to diverge, and vice versa). If we ignore gravity, then the pressures over the inlet and outlet areas are constant. Along a streamline on the centerline, the Bernoulli equation and the one-dimensional continuity equation give, respectively,
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