A person weighing 60kg is running at 3m/s, what is their kinetic energy?

Kinetic Energy=1/2 × 60kg × (3m/s)^2

Kinetic Energy = 1/2 × m × v^2

Kinetic Energy = 270J or 0.27kJ

This same process can be used on single molecules in a fluid, which is why it is important to understand Kinetic Energy in Fluid Mechanics

**and apply what**

we have learned !

we have learned !

**What is Fluid Mechanics?**

Fluid Mechanics is used in.....

Fluid Statics

Fluid Dynamics

Fluid Statics can be determine by:

Fluid Force

compressibility of fluid

pressure measurement

What is a Fluid

?

Fluids are matter that does

not have a fixed shape.

They can be liquid or gas

Fluid Mechanics is divided into two areas

Energy

Continuity

Bernouilli's Equation

Kinetic Energy

Potential Energy

Pressure Energy

**R**

**E**

**A**

**L**

**application**

**Let's see the**

Oops..

Why it is red?

**its FIRE! FIRE!**

**We need a fire hose and fire hydrant to put off the fire!**

Here's the

situation..

There is fire in a building. A fire fighter pulls out the hose with a radius of 0.04m which connected to the fire hydrant. A 4 ms-1 speed of water exist from the underground pipe with radius 0.10 m, enters through the hydrant.

**We already been GIVEN the :**

i) area of pipe (A1) and hose (A2)

ii)pipe velocity (V1)

i) area of pipe (A1) and hose (A2)

ii)pipe velocity (V1)

V1,A1

V2,A2

**So, what is..**

**V2 ??**

TRANSPORTATIONS

INDUSTRY

Daily life

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**Introduction to**

Fluid

Mechanics

Fluid

Mechanics

AND..

**References**

In order to understand basic fluid mechanics, we need to know about energy

There are three types of energy we consider in fluid mechanics:

Kinetic Energy

Potential Energy

Pressure Energy

The energy possessed by a body in motion.

The Kinetic Energy of an object is determined by:

the mass of the object

how fast the object is moving

Kinetic Energy is given by the equation:

The unit of energy is in Joules (J) or Kilojoules (kJ)

http://www.dres-team.com/about/

http://images.tutorvista.com/cms/formulaimages/83/potential-energy-formulas-image.PNG

Pressure is defined as the measure of force per unit area.

Airplane

Panama canal

Hot air balloons

Irrigation system

Hydroelectricity plant

Chemical processing plant

Jet engine

Shower faucet

Drinking fountain

Air-conditioner

The energy due to the Potential for Kinetic Energy

For example, if we had a gas in a container and decreased the volume of the container, the pressure inside the container would increase, as the gas would be exerting the same force on the sides of the container but there is less surface for that force to act on.

http://in.ari-armaturen.com/fileadmin/IndianImages/steam_paathshaala/maths_1.JPG

The car in the picture above has potential energy when it is on top of the hill.

This is because it has the potential to gain Kinetic Energy when it goes down the hill again.

Potential energy is calculated using an objects mass, its height above the ground and the acceleration due to gravity.

m = mass (kg)

g = gravity 9.81m/s^2

h = height m

In Fluids.....

https://upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Headpressure.GIF/220px-Headpressure.GIF

The fluid in the higher tank has greater potential energy than the fluid in the bottom tank.

This is due to the height of the fluid being greater, increasing Potential Energy.

We can also see that gravity is causing the fluid to flow down; thus gaining Kinetic Energy.

F = Force in N

A = Area in m^2

Bernoulli's equation can be applied to various types of flows and takes different forms when considering different flows. Applications in real life situations include calculating lift force on an airfoil and calculating flow speed of a fluid.

The equation is named after Daniel Bernoulli. Bernoulli's principle states if a fluid which is non-conducting and inviscid undergoes an increase in speed, a decrease in pressure or potential energy will occur simultaneously.

v = fluid flow speed at a point on a streamline,

g = acceleration due to gravity

z = elevation of the point above a reference

p = pressure at the chosen point

rho = is the density of the fluid at all points in the fluid

The above equation is in its most simple form which is applied to incompressible flows.

Q = flow rate

v = velocity

A = Area

This equation is obtained due to mass always being conserved in fluid systems notwithstanding the direction in which the fluid flows.

Common situations where this equation can be utilized include pipes, ducts, rivers, roads and even computer networks.

high PE

low PE

Pressure in Fluids

Fluids have no fixed shape, so pressure acts in all directions.

It is applied to itself and on the surface of the container.

http://www.school-for-champions.com/science/fluid_pressure.htm#.Vh7NaBArKL8

The Energy due to the Force a Fluid exerts on itself and its container.

2 types of fluid force:

surface force

body force

Incompressible fluid has fixed density

studies the effect of all pressures including the external pressures on the moving fluid

Aerospace, Mechanical and Mechatronic Engg., 2005,

Fluid statics

, viewed 16 October 2015.

<http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/fprops/statics/node2.html>

Ways to measure the pressure

by using:

Mercury barometer,

Piezometer tube,

Differential U-tube manometer

Fluid dynamics, n.d., AP Physics B, viewed 16th October 2015.

<http://webcache.googleusercontent.com/searchq=cache:1lQIhgzguHgJ:bowlesphysics.com/images/AP_Physics_B_-_Fluid_Dynamics.ppt+&cd=1&hl=zh-CN&ct=clnk&gl=au>

Fluid's motion can be said laminar

So it is about the..

HOSE PRESSURE!!

Differential U-tube

manometer

Piezometer tube

Compressible fluid has distinct property changes.

For example:

Air.

The pressure depends on temperature and altitude, an equation is based on

**Hope it helps**

**THANKS FOR WATCHING**

V2 =23.86 ms-1

By using Continuity Equation:

Cambridge University 2003/2004, JYA PHYSICS:

Pressure Notes,

viewed 10 October 2015, http://jamesdewinter.com/JYA/Pages/Term2/PressureQuestions.htm

Ron. K 2015,

Pressure in Fluids

, viewed 5 October 2015, http://www.school-for-champions.com/science/fluid_pressure.htm#.ViC7x34rLIV.

The study of non-moving flow.

Fluid is at REST

The study of moving fluids

Fluid is in MOTION

laminar flow

Science clarified, Fluid Mechanics:

Real-life applications

, viewed 7 October 2015, http://www.scienceclarified.com/everyday/Real-Life-Chemistry-Vol-3-Physics-Vol-1/Fluid-Mechanics-Real-life-applications.html

water treat

What is Fluid Mechanics? 2015.. [ONLINE] Available at: http://www.mne.psu.edu/cimbala/Learning/Fluid/Introductory/what_is_fluid_mechanics.htm. [Accessed 21 October 2015].

Fluid Mechanics is the study of the force and motion that applies to fluids.