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Computer Workshop

Engineering Equation Solver

ByVenkatesh Shanmugam

Email: [email protected]

Phone:388-5796

Department of mechanical Engineering

Louisiana State University


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Schedule

Date:9/18, 9/25, 10/2, 10/9, 10/16, 10/23(every Tuesday in Sep, Oct)

Time: 7:30-9:30 PM Location: Middleton Library Room 230E


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Lecture 1

Introduction to EES

What is EES What EES can do for you

How EES works A simple mathematical example

Thermodynamic examples


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Lecture 2

How to use EES

How to use EES to solve problems Equation windows: Enter equations and

comments

Solution windows: the solutions are

presented

Additional windows

Diagram window

Plot window


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Lecture 3

Advanced Features in EES

Integral function Table-based integral function

Equation-based integral function

Solving initial value differential equations Table-based integral function

Equation-based integral function


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Lecture 5

Presenting Your Results UsingComputer Software

Skills to do course project Make assumptions

Mathematics model and equations

Numerical methods using Fortran How to manipulate data using Fortran and Excel

How to plot 2-D results

How to plot 3-D results


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Web Site

You can find the other information of computerworkshop in Dr. Charalampopoulos web page at

me.lsu.edu/~mechar

Click on course resources Click on computer tutorials

Click on EES


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Lecture 1 (9/18/2001)

Introduction to EESBy

Venkat

Email: [email protected]

Phone:578-5796Department of mechanical Engineering

Louisiana State University


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Outline

What is EES What EES can do for you

Where you can use EES How does EES work


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What EES can do for you

Thermodynamics Heat Transfer

Fluid Mechanics Combustion

ME 2333, ME 3333, ME 3343, ME 4383,ME 4611, ME 4621, ME 4643, ME 4433,

ME 2833, ME 3842, ME 4633, ME 4843


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Where You Can Use EES

ME CADLAB (CEBA Room 2208a) if youhave LSU NT account

CEBA Terminal Room 1302; CEBA

reading room The license of EES allows students involved in the

course of Thermodynamics to download a copy of

EES and manual for your own PC from web site:www.mhhe.com/ees. Send email to me to ask foruser name and password.


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How does EES work

A simple example:Solve a set of non-linear equations

yx

yxx

1

)ln( 3

=

=


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1. Start EES

2. Click File menu3. Click New. You will see a blank Equations Window


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Equations are entered in the Equations Window in the same manner as

for any word processor


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If you wish, you may view the equations in mathematical notations by

selecting the Formatted Equations command from the Windows menu


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1. Now we are going to solve the equations.

2. Go to Calculate menu3. Select Solve command


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In order to prepare for parametric table & plot, first of all we change the

variable Y to Z in the second equation


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1. Go to Tables menu

2. Select New Parametric Table

3. Select all the variables X,Y, Z

4. Click Add. Then OK


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Then you will get a blank table like this


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1. Go to Tables menu

2. Select Alter Values

3. Input the First Value as 1.14. Input the Increment as 0.1

5. Click Apply. Then OK


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Then you will get a table with variable X of different values


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1. Go to Calculate menu

2. Click Solve Table

3. Then you will get the results of the two variables Y and Z according tothe two equations


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1. Go to Plot menu

2. Click New Plot Windows

3. Select X-Y Plot4. Select X as X-Axis and Y as Y-Axis

5. Click OK


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Then you will get a plot like this


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1. Go to Plot menu again

2. Select Overlay Plot

3. This time change Z as Y-Axis; Change Minimum to 0.4, Maximum to1.2, and Interval to 0.1

4. Click OK


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1. Then you get a overlay plot

2. From the plot we can see that the solutions of the two nonlinearequations are around X = 1.47, Y = 0.83


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A Thermodynamic Example

Problem

Problem 1.12 from Thermodynamics: Anengineering Approach, 3/e

A 5-kg rock is thrown upward with a force of

150 N at a location where the local

gravitational acceleration is 9.79 m/s^2.Determine the acceleration of the rock, in

m/s^2."


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Diagram for the problem

1 S EES


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1. Start EES

2. Go to File menu.

3. Select New command.4. A blank Equations Window will appear

4. Enter the problem to be solved within quote marks


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1. Before entering the equations, set the unit system

2. Go to Option menu

3. Select Units System4. Click OK


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1. Enter all the equations required to solve the problem

2. Note that all the characters within quote marks will be shown ascomments. They are illustrated in blue color


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You can go to Windows menu and select Formatted Equations so that

you can view the equations in mathematical notation


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1. Go to Calculate menu

2. Select Solve command3. You will get the solutions to the problem


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1. If you want you final solutions to be displayed with unit, you can go to

Option menu.

2. Select Variable Info3. Enter the units manually in Units column


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After Solve equations, you will get the solutions will units as shown in the

slide


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Problem 3.75 from Thermodynamics: An engineering

Approach, 3/e

3.75 A 0.5 m3 rigid tank contains refrigerant-134a

initially at 200 kPa and 40 percent quality. Heat is now

transferred to the refrigerant until the pressure reaches800 kpa. Determine

(a) the mass of the refrigerant in the tank

(b) the mount of heat transferred.


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Go to Options

Select Unit System


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