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FLUID MECHANICSPresentation
Bernoulli’s Principle
Umar Tariq
Husnnain Javeed
Adil Faraz
Muhammad Zaroon
Bernoulli’s Principle
THEORY
APPLICATION
CONCLUSIONS
Bernoulli’s PrincipleTheory - Introduction
Presented by Daniel Bernoulli in his book
Hydrodynamica in 1738
Bernoulli’s PrincipleTheory - Statement
Increase in the speed of the fluid occur simultaneously
with a decrease in pressure or a decrease in the fluid's potential energy.
ORIn 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
Bernoulli’s PrincipleTheory - Explanation
Figure
Section of pipe shown above Bernoulli’s Equation can be written as
Bernoulli’s PrincipleTheory - Equation
Where (in SI units)
P= static pressure of fluid at the cross sectionρ= density of the flowing fluid g= acceleration due to gravity;v= mean velocity of fluid flow at the cross sectionh= elevation head of the center of the cross section
with respect to a datum.
Bernoulli’s Principle
APPLICATIONS
Bernoulli’s PrincipleApplication - LIFT
Bernoulli’s PrincipleApplication - LIFT
Bernoulli’s PrincipleApplication - LIFT
Fast Moving Air; Low Air PressureAir travels farther
Slow Moving Air; High Air Pressure
airfoilLeading edge Trailing edge
AirFoil
Bernoulli’s PrincipleApplication - Spoilers
Spoiler provides better stabilityand avoids lift
Bernoulli’s PrincipleApplication - Spoilers
greater air speedless pressure
less air speedmore pressure
Bernoulli’s PrincipleApplication - Tennis Ball
Bernoulli’s PrincipleApplication - Tennis Ball
Bernoulli’s PrincipleApplication - Base Ball
Bernoulli’s PrincipleApplication - Mountains
Bernoulli’s PrincipleApplication – Ping Pong Ball
Bernoulli’s PrincipleApplication – Atomizer
Bernoulli’s PrincipleApplication – Carburetor
Bernoulli’s PrincipleApplication – Atomizer
Determining the velocity and debit of water spray in perforated tank
Bernoulli’s PrincipleApplication – 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.
Bernoulli’s PrincipleConclusions
Aerodynamics
Sports Racing Industry
Daily life significance.
Bernoulli’s Principle