4. Bernoulli’s Principle
Theory - Statement
Increase in the speed of the fluid occur simultaneously
with a decrease in pressure or a decrease in the
fluid's potential energy.
OR
In a horizontal pipe, the highest fluid pressure is in the
section where the flow speed is the lowest, and the
lowest pressure is at the section where the flow
speed is the biggest.
APPLICABLE : INCOMPRESSIBLE - NON VISCOS - NON STEADY
6. Bernoulli’s Principle
Theory - Equation
Where (in SI units)
P= static pressure of fluid at the cross section
ρ= density of the flowing fluid
g= acceleration due to gravity;
v= mean velocity of fluid flow at the cross section
h= elevation head of the center of the cross section
with respect to a datum.
10. Bernoulli’s Principle
Application - LIFT
Fast Moving Air; Low Air
Pressure
AirFoil
Air travels farther
Leading edge
airfoil
Slow Moving Air; High Air Pressure
Trailing edge
21. Bernoulli’s Principle
Application –Venturi tube
• A2 < A1 ; V2 > V1
• According to Bernoulli’s Law, pressure at
A2 is lower.
• Choked flow: Because pressure cannot be
negative, total flow rate will be limited.
This is useful in controlling fluid velocity.