1
7.2 Fluid Dynamics
Fluid dynamics
Bernoulli equation
Venturi effects
Windmills
Bernoulli’s Equation
Conservation of Energy in a flow tube
The change in Energy of mass m in going from 1 to 2
is equal to the Work done on the mass by external pressure.
2
2
1
1
1
2
2
2
1
1
P
v
gy
P
v
gy
2
2
+
ρ
+ ρ
=
+
ρ
+ ρ
2
1
P
v
gy
Constant
2
+
ρ
+ ρ
=
Venturi flow
2
2
1
1
2
2
1
1
P
v
P
v
2
2
+
ρ
=
+
ρ
When fluid flows faster through a flow tube the
pressure is decreased.
The high pressure does
work to increase the
kinetic energy.
Venturi flowmeter
Air flows through a Venturi flowmeter having a tube with a diameter d
1
that has
a constriction where the diameter is reduced by a factor of 2.
A Utube
containing water connects the two regions. What is the velocity v
1
if the
difference in the water between the two arms of the Utube is 5.0 cm.
A
1
v
1
A
2
v
2
h=5 cm
Carburator
Low pressure draws
liquid into the airstream
at the constriction.
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 Spring '09
 OKAMURA
 Physics, Fluid Dynamics, Conservation Of Energy, Energy, Kinetic Energy, Mass, Work, Venturi Flowmeter, FLOW TUBE, Bernoulli equation Venturi

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