Lecture 28
pls28.1
Fluid Dynamics II
Media: 1.
Blood pressure demo
2.
Bernoulli velocity demos:
(i)
paper demos, (ii) ball in cone,
(iii)
ball and leaf blower, (iv)
Styrofoam paint sprayer demo.
3.
Venturi tube (w/camera)
Clicker Questions 1 and 2
1.
Bernoulli’s Equation
—combines results of how pressure varies with height and velocity.
—applies to the motion of an ideal
(
0
=
η
,
0
=
C
) fluid in steady
motion
—is a form of the workenergy theorem for a fluid
Bernoulli’s Eqn.:
To see how this eqn. relates to the workenergy theorem
nc
i
f
W
ME
ME
+
=
we can rewrite it as
2
2
2
2
1
2
1
1
2
1
2
1
h
g
v
P
h
g
v
P
ρ
ρ
ρ
ρ
+
+
=
+
+
e
unit volum
1
KE
e
unit volum
1
GPE
1
h
2
h
1
v
2
v
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Lecture 28
pls28.2
(
)
2
1
1
2
1
2
2
2
2
1
2
1
P
P
h
g
v
h
g
v
−
+
+
=
+
ρ
ρ
ρ
ρ
.
Because
1
2
1
2
1
h
g
v
ρ
ρ
+
and
2
2
2
2
1
h
g
v
ρ
ρ
+
are the mechanical energy
densities (ME/unit volume) at the initial and final positions of the piece
of fluid, we see that the term
(
)
2
1
P
P
−
is the work done / unit volume
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 Fall '11
 KODERA
 Physics, Fluid Dynamics, p2 < p1, p2 > p1

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