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Two
forces act on a fluid in the absence of viscous and field forces:
inertia and pressure forces. In this case the balance of forces in a
control volume is given by:

(3.1)
Equation 3.1 is known as
Bernoulli Equation and
p =
pressure in the fluid
r
=
density
u
=
fluid velocity
Applying
expression 3.1 for 2 different positions of a fluid flow gives:

(3.2)
Considering
the flow as incompressible (r1
= r2)
we conclude that an increase in the flow velocity results in a
pressure reduction.
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