Bernoulli's Principle

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