Downloaded 219 times
![Solving an equation
X + 3 = 5
Try:
To obtain solution:
[Menu] Calculate > Solve
or
Press “F2” key
In Solution Window:
9naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-9-2048.jpg)
![Engineering units
Try:
16
T = 30 [C]
A = 40 [m^2]
To insert a unit from list,
right-click editor, select
“Units list”. After selecting
unit from list, click “Paste”.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-16-2048.jpg)
![Units consistency check
Try:
T = 30 [C]
A = 40 [m^2]
U = T+A
17
To check consistency of units:
[Menu] Calculate > Check units
or
Press “F8” key
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-17-2048.jpg)
![Units consistency check
Try:
T = 30 [C]
A = 40 [m^2]
U = T * A
18
Consistency check:
Right-click equation and select “Set
variable Units”. Input the valid unit
(C*m^2) for U and click “Ok”.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-18-2048.jpg)
![Formatted equations
Try:
f_c = 100
A =(1/pi^2)/f_c
21
To view formatted equations:
[Menu] Windows > Formatted Equations
or
Press “Ctrl + F” key
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-21-2048.jpg)
![Comments
Try:
A = 10 "Area of surface"
W = 4 "!Width of surface"
H = A/W {Height of surface}
C = 400 {!Looks like constant}
24
Formatted equations:
To set color and font style:
[Menu] Options > Preferences > Equations
Set properties for type I and type II comments.
Click “Store” to save your preferences.
Type I comment: “ “ or { }
Type II comment: “! “ or {! }
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-24-2048.jpg)
![Variable information
Try:
D ^2=100
J = D + 50
26
To view variable info:
[Menu] Options > Variable Info
or
Press “F9” key
Solution:
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-26-2048.jpg)
![Constants
30
To add a pre-defined constant:
[Menu] Options > Constants
Select constant from list and click “Paste”.
Try:
mass = 10
weight = mass*g#
Remember, constants are not treated as variables!
For example, in above, there are just two variables i.e.
“mass” and “weight” and hence, this system of equations
has some solution.
Custom constants may be added to the list.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-30-2048.jpg)
![Arrays
31
An array (or vector) is an organized collection of different
values of same variable. Arrays are helpful in batch
processing, making plots, etc.
Try:
T[1]=100 "the first element of the array T"
T[2]=200 "the second element of the array T"
T[3]=300 "the third element of the array T"
In above, the variable “T” is not a scalar variable, but it is
an array (or vector) having values 100, 200 and 300 placed
at index 1, 2 and 3 respectively.
$Arrays ON and $Arrays OFF directive may be used to
switch the display of Arrays window.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-31-2048.jpg)
![Multi-dimensional arrays
32
Try:
T[1,1]=100
T[1,2]=200
T[1,3]=300
T[2,1]=444
T[2,2]=555
T[2,3]=666
Arrays Table:
Above is an example of 2D array. More dimensions can be
added by using “,” separator in square brackets.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-32-2048.jpg)
![Duplicate statement
33
Duplicate statement provides a convenient method for
carrying out similar operations on multiple elements of an
array.
Duplicate index = start,stop
equation(s) to be duplicated
End
duplicate i=1,4
T[i]=i
end
Try: Arrays Table:
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-33-2048.jpg)
![Duplicate statement
34
Try:
For the 10 points of “X”, the value of “Y” is “X^2+10”. Using
duplicate statement, generate array table for X and Y such
that:
duplicate i=1,10
Y[i] = i^2 + 10
X[i]=i
end
Solution::
Hint: Both X and Y are vectors. A
scalar variable as iterator may be
used in duplicate statement.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-34-2048.jpg)
![2D plots
35
To draw plot:
[Menu] Plots > Now Plot Window > X-Y Plot
Select variables for X and Y axis and click “Ok”.
Try:
Draw X-Y plot for
previous example.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-35-2048.jpg)
![3D plots
36
To draw plot:
[Menu] Plots > Now Plot Window > X-Y-Z Plot
Select variables for X, Y and Z axis, opt “3-D Plot” and click
“Ok”.
Try:
Draw plot for the
following:
duplicate i=1,10
X[i]=i
Y[i] = i + 1
Z[i] = i
end
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-36-2048.jpg)
![Lookup tables
37
Lookup Tables provide a convenient method of saving and
accessing tabular data, useful for interpolation and curve
fitting.
To add a lookup table:
[Menu] Tables > New Lookup Table
• Suggest suitable title. This will be used while retrieving values.
• Select number of rows and columns required in table.
• Data can be entered manually or can be copy-pasted from
MATLAB, EXCEL etc.
• Lookup tables can be exported to a file for sharing purpose.
• Also, they can be imported from CSV files, a famous export
extension supported by common data loggers.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-37-2048.jpg)
![Other lookup functions
40
• Lookup: Return value at given row and column
X = Lookup('Table',Row,Column)
• LookupRow: Return row#. Value matching in column.
X = LookupRow('Table',Column,Value)
• LookupCol: Return column#. Value matching in row.
X = LookupCol('Table',Row,Value)
• AvgLookup: Return average of values.
X = AvgLookup(‘Table','ColName',[StartRow,StopRow])
• SumLookup: Return average of values.
X = SumLookup(‘Table','ColName',[StartRow,StopRow])
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-40-2048.jpg)
![Regression
41
Regression is a useful method to find dependence of one
variable on to other variables.
To find linear regression equation:
[Menu] Tables > Linear Regression
Select dependent variable and independent variable(s).
Click “Fit” to find the fitted equation.
To find statistics regarding fit, click “Stats”.
Polynomial order can be increased and cross-terms may be
added to increase accuracy.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-41-2048.jpg)
![Parametric tables
43
Parametric tables are used for parametric studies in which the
effect of one variable (the independent variable) on another
variable (the dependent variable) is studied.
To create parametric table:
Writing codes conventionally in editor and then click:
[Menu] Tables > New Parametric Table
To populate (or solve) a parametric table:
[Menu] Calculate > Solve Table
Or
Press ‘F3’ key.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-43-2048.jpg)
![Functions
46
To access available functions:
[Menu] Options > Function Info
Select function from list and click “Paste”.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-46-2048.jpg)
![Useful fluid properties functions
49
Try:
How much amount of heat per kg of water 100 kPa will be
required to rise temperature from 30°C to 80°C?
Solution:
𝑞 = ℎ 𝑇=80℃,𝑃=100𝑘𝑃𝑎 − ℎ 𝑇=30℃,𝑃=100𝑘𝑃𝑎
Codes:
P = 100 [kPa]
T1 = 30 [C]
T2 = 80 [C]
H1 = ENTHALPY(Steam,T=T1,P=P)
H2 = ENTHALPY(Steam,T=T2,P=P)
Q = H2 - H1
2 1
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-49-2048.jpg)
![Diagram window
51
Diagram Window provides the capability to easily develop a
user-friendly, graphical interface to an EES program.
To open diagram window:
[Menu] Windows > Diagram Window
or
Press ‘Ctrl+D’ key
“Toolbar”
When it is visible, diagram window is in edit
mode. Otherwise, it is in execution mode.
To view toolbar, press ‘Ctrl+D’ again.
naveedurrehman.com](https://image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-51-2048.jpg)
![Solving an equation
X + 3 = 5
Try:
To obtain solution:
[Menu] Calculate > Solve
or
Press “F2” key
In Solution Window:
9naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-9-2048.jpg)
![Engineering units
Try:
16
T = 30 [C]
A = 40 [m^2]
To insert a unit from list,
right-click editor, select
“Units list”. After selecting
unit from list, click “Paste”.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-16-2048.jpg)
![Units consistency check
Try:
T = 30 [C]
A = 40 [m^2]
U = T+A
17
To check consistency of units:
[Menu] Calculate > Check units
or
Press “F8” key
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-17-2048.jpg)
![Units consistency check
Try:
T = 30 [C]
A = 40 [m^2]
U = T * A
18
Consistency check:
Right-click equation and select “Set
variable Units”. Input the valid unit
(C*m^2) for U and click “Ok”.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-18-2048.jpg)
![Formatted equations
Try:
f_c = 100
A =(1/pi^2)/f_c
21
To view formatted equations:
[Menu] Windows > Formatted Equations
or
Press “Ctrl + F” key
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-21-2048.jpg)
![Comments
Try:
A = 10 "Area of surface"
W = 4 "!Width of surface"
H = A/W {Height of surface}
C = 400 {!Looks like constant}
24
Formatted equations:
To set color and font style:
[Menu] Options > Preferences > Equations
Set properties for type I and type II comments.
Click “Store” to save your preferences.
Type I comment: “ “ or { }
Type II comment: “! “ or {! }
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-24-2048.jpg)
![Variable information
Try:
D ^2=100
J = D + 50
26
To view variable info:
[Menu] Options > Variable Info
or
Press “F9” key
Solution:
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-26-2048.jpg)
![Constants
30
To add a pre-defined constant:
[Menu] Options > Constants
Select constant from list and click “Paste”.
Try:
mass = 10
weight = mass*g#
Remember, constants are not treated as variables!
For example, in above, there are just two variables i.e.
“mass” and “weight” and hence, this system of equations
has some solution.
Custom constants may be added to the list.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-30-2048.jpg)
![Arrays
31
An array (or vector) is an organized collection of different
values of same variable. Arrays are helpful in batch
processing, making plots, etc.
Try:
T[1]=100 "the first element of the array T"
T[2]=200 "the second element of the array T"
T[3]=300 "the third element of the array T"
In above, the variable “T” is not a scalar variable, but it is
an array (or vector) having values 100, 200 and 300 placed
at index 1, 2 and 3 respectively.
$Arrays ON and $Arrays OFF directive may be used to
switch the display of Arrays window.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-31-2048.jpg)
![Multi-dimensional arrays
32
Try:
T[1,1]=100
T[1,2]=200
T[1,3]=300
T[2,1]=444
T[2,2]=555
T[2,3]=666
Arrays Table:
Above is an example of 2D array. More dimensions can be
added by using “,” separator in square brackets.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-32-2048.jpg)
![Duplicate statement
33
Duplicate statement provides a convenient method for
carrying out similar operations on multiple elements of an
array.
Duplicate index = start,stop
equation(s) to be duplicated
End
duplicate i=1,4
T[i]=i
end
Try: Arrays Table:
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-33-2048.jpg)
![Duplicate statement
34
Try:
For the 10 points of “X”, the value of “Y” is “X^2+10”. Using
duplicate statement, generate array table for X and Y such
that:
duplicate i=1,10
Y[i] = i^2 + 10
X[i]=i
end
Solution::
Hint: Both X and Y are vectors. A
scalar variable as iterator may be
used in duplicate statement.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-34-2048.jpg)
![2D plots
35
To draw plot:
[Menu] Plots > Now Plot Window > X-Y Plot
Select variables for X and Y axis and click “Ok”.
Try:
Draw X-Y plot for
previous example.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-35-2048.jpg)
![3D plots
36
To draw plot:
[Menu] Plots > Now Plot Window > X-Y-Z Plot
Select variables for X, Y and Z axis, opt “3-D Plot” and click
“Ok”.
Try:
Draw plot for the
following:
duplicate i=1,10
X[i]=i
Y[i] = i + 1
Z[i] = i
end
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-36-2048.jpg)
![Lookup tables
37
Lookup Tables provide a convenient method of saving and
accessing tabular data, useful for interpolation and curve
fitting.
To add a lookup table:
[Menu] Tables > New Lookup Table
• Suggest suitable title. This will be used while retrieving values.
• Select number of rows and columns required in table.
• Data can be entered manually or can be copy-pasted from
MATLAB, EXCEL etc.
• Lookup tables can be exported to a file for sharing purpose.
• Also, they can be imported from CSV files, a famous export
extension supported by common data loggers.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-37-2048.jpg)
![Other lookup functions
40
• Lookup: Return value at given row and column
X = Lookup('Table',Row,Column)
• LookupRow: Return row#. Value matching in column.
X = LookupRow('Table',Column,Value)
• LookupCol: Return column#. Value matching in row.
X = LookupCol('Table',Row,Value)
• AvgLookup: Return average of values.
X = AvgLookup(‘Table','ColName',[StartRow,StopRow])
• SumLookup: Return average of values.
X = SumLookup(‘Table','ColName',[StartRow,StopRow])
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-40-2048.jpg)
![Regression
41
Regression is a useful method to find dependence of one
variable on to other variables.
To find linear regression equation:
[Menu] Tables > Linear Regression
Select dependent variable and independent variable(s).
Click “Fit” to find the fitted equation.
To find statistics regarding fit, click “Stats”.
Polynomial order can be increased and cross-terms may be
added to increase accuracy.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-41-2048.jpg)
![Parametric tables
43
Parametric tables are used for parametric studies in which the
effect of one variable (the independent variable) on another
variable (the dependent variable) is studied.
To create parametric table:
Writing codes conventionally in editor and then click:
[Menu] Tables > New Parametric Table
To populate (or solve) a parametric table:
[Menu] Calculate > Solve Table
Or
Press ‘F3’ key.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-43-2048.jpg)
![Functions
46
To access available functions:
[Menu] Options > Function Info
Select function from list and click “Paste”.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-46-2048.jpg)
![Useful fluid properties functions
49
Try:
How much amount of heat per kg of water 100 kPa will be
required to rise temperature from 30°C to 80°C?
Solution:
𝑞 = ℎ 𝑇=80℃,𝑃=100𝑘𝑃𝑎 − ℎ 𝑇=30℃,𝑃=100𝑘𝑃𝑎
Codes:
P = 100 [kPa]
T1 = 30 [C]
T2 = 80 [C]
H1 = ENTHALPY(Steam,T=T1,P=P)
H2 = ENTHALPY(Steam,T=T2,P=P)
Q = H2 - H1
2 1
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-49-2048.jpg)
![Diagram window
51
Diagram Window provides the capability to easily develop a
user-friendly, graphical interface to an EES program.
To open diagram window:
[Menu] Windows > Diagram Window
or
Press ‘Ctrl+D’ key
“Toolbar”
When it is visible, diagram window is in edit
mode. Otherwise, it is in execution mode.
To view toolbar, press ‘Ctrl+D’ again.
naveedurrehman.com](https://crownmelresort.com/image.slidesharecdn.com/programmingformechanicalengineersinees-170528234713/75/Programming-for-Mechanical-Engineers-in-EES-51-2048.jpg)
Uploaded byNaveed Rehman
Programming for Mechanical Engineers in EES
The document provides an overview of the Engineering Equation Solver (EES), developed for mechanical engineers to solve complex equations with a user-friendly interface. It features capabilities such as non-sequential coding, parametric solutions, and various built-in mathematical functions applicable across a range of engineering disciplines. EES supports hands-on training and practical applications in areas like thermodynamics, fluid mechanics, and renewable energy technologies.
More Related Content
Similar to Programming for Mechanical Engineers in EES
Programming for Mechanical Engineers in EES
- 1. PROGRAMMING FOR MECHANICAL ENGINEERS IN ENGINEERINGEQUATION SOLVER With hands-on training! Naveed ur Rehman http://www.naveedurrehman.com/
- 2. Introduction to EES •EES (pronounced ’ease’): “Engineering Equation Solver” • Developed by S.A. Klein and G.F. Nellis at University of Wisconsin–Madison. • Licensed and distributed by F-Chart software (http://fchart.com) • Demo version can be acquired free from http://fchart.com/ees/demo.php • Licensing and ordering information can obtained from http://fchart.com/ees/ and http://fchart.com/ees/order.php • Single user license fee: $600-$1200 2naveedurrehman.com
- 3. Salient features • Supportnon-sequential codes (or equations) • Support sequential programming language (as in C, MATLAB, Pascal and FORTRAN etc. including conditioning, looping and functional approaches etc.) • Built-in mathematical functions (e.g. PVT diagrams, Moody, Heat exchanger etc.) • Built-in Thermo-physical property functions (e.g. for steam, refrigerants, air, gases etc.) • Support display of results in several visual formats (e.g. graphs, contours, diagrams etc.) 3naveedurrehman.com
- 4. Salient features • Diagramwindow: 4naveedurrehman.com
- 5. Salient features • Parametricsolutions: 5naveedurrehman.com
- 6. Salient features • Solutionson property diagrams: 6naveedurrehman.com
- 7. Application areas Following arethe few application areas and courses where EES can be utilized: • Thermodynamics • Engineering mechanics • Fluid mechanics • Heat transfer • Gas dynamics • IC Engines • Steam and gas turbines • Refrigeration & air conditioning • Renewable energy technologies • Final Year Project 7naveedurrehman.com
- 8. Environment “Equations window” “Menu” “Toolbar” Remember, EESis case-insensitive i.e. ABC = abc = AbC = Abc… 8naveedurrehman.com
- 9. Solving an equation X+ 3 = 5 Try: To obtain solution: [Menu] Calculate > Solve or Press “F2” key In Solution Window: 9naveedurrehman.com
- 10. Solving an equation Try: A+ 3 = 5 * 4 B + 3 = 5 ^ 2 C = 5 + ( 3 * (4 - 2 ^ 5 ) ) / 100 D + 2 * D = 9 E ^ 2 = 100 50 = F ^ (1/2) G ^ 1.333 = 0.4 10naveedurrehman.com
- 11. Solving an equation Try: 3*H^2- 4*H - 5 = 0 0.5*J^3 - 3*J^2 - 4*J - 5 = 0 (K+3)*(K-4)*(K+5)=1/K SQRT(2) = X + SQRT(X+1) 3𝐻2 − 4𝐻 − 5 = 0 0.5𝐽3 − 3𝐽2 − 4𝐽 − 5 = 0 𝐾 + 3 𝐾 − 4 𝐾 + 5 = 1 𝐾 2 = 𝑋 + 𝑋 + 1 11naveedurrehman.com
- 12. Solving system ofequations Try: X + Y = 10 X - 2*Y = 5 12 X + Y + Z = 10 X - 2*Y = 5 X + Z = 4 X + Y + Z = 10 X + Y = 0 What about this: Remember, number of variables = number of equations! ERROR! naveedurrehman.com
- 13. Solving system ofequations Try: V = pi * (R^2) * H R = 10 H = 12 13 Calculate volume of cylinder where radius is 10 m and height = 12 m (using 𝑉 = 𝜋𝑅2 𝐻) Calculate height of cylinder where radius is 10 m and volume = 3000 m3 (using 𝑉 = 𝜋𝑅2 𝐻) V = pi * (R^2) * H R = 10 V = 3000 naveedurrehman.com
- 14. Solving system ofequations Try: R = G + 2 G = 2 * B B = 3 14 Diameter of red ball is 2” more than that of green ball. While the diameter of green ball is twice than that of blue ball. If the diameter of blue ball is 3”, calculate diameters of other two balls. Codes: naveedurrehman.com
- 15. Solving system ofequations Try: M_left = M_right M_left = F*3 M_right = 12*8 15 𝑀𝑙𝑒𝑓𝑡 = 𝑀𝑟𝑖𝑔ℎ𝑡 𝑀𝑙𝑒𝑓𝑡 = 𝐹. 3 𝑀𝑟𝑖𝑔ℎ𝑡 = 12 × 8 Hint: Codes: naveedurrehman.com
- 16. Engineering units Try: 16 T =30 [C] A = 40 [m^2] To insert a unit from list, right-click editor, select “Units list”. After selecting unit from list, click “Paste”. naveedurrehman.com
- 17. Units consistency check Try: T= 30 [C] A = 40 [m^2] U = T+A 17 To check consistency of units: [Menu] Calculate > Check units or Press “F8” key naveedurrehman.com
- 18. Units consistency check Try: T= 30 [C] A = 40 [m^2] U = T * A 18 Consistency check: Right-click equation and select “Set variable Units”. Input the valid unit (C*m^2) for U and click “Ok”. naveedurrehman.com
- 19. Units conversion Try: A =30*Convert(ft,m) B = 10*Convert(MJ, kJ) C = 100*Convert(kJ/kg,BTU/lbm) 19 Solution: Note: Unit to each variable is automatically assigned. Convert statement is used to do unit conversion: Convert ( from-unit , to-unit ) naveedurrehman.com
- 20. Converting temperature units Try: TheF= ConvertTEMP(C,F,30) "Convert 30 deg. C to deg. F" TheC = ConvertTEMP(F,C,100) "Convert 100 deg. F to deg. C" 20 Solution: ConvertTemp statement is used to do unit conversion between degree centigrade (°C) and Fahrenheit (°F): ConvertTEMP ( from-unit , to-unit, value) naveedurrehman.com
- 21. Formatted equations Try: f_c =100 A =(1/pi^2)/f_c 21 To view formatted equations: [Menu] Windows > Formatted Equations or Press “Ctrl + F” key naveedurrehman.com
- 22. Formatted equations Variable displayoptions for Formatted Equations Window: 22naveedurrehman.com
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- 24. Comments Try: A = 10"Area of surface" W = 4 "!Width of surface" H = A/W {Height of surface} C = 400 {!Looks like constant} 24 Formatted equations: To set color and font style: [Menu] Options > Preferences > Equations Set properties for type I and type II comments. Click “Store” to save your preferences. Type I comment: “ “ or { } Type II comment: “! “ or {! } naveedurrehman.com
- 25. Bookmarking Bookmarks are helpfulin lengthy programs. To add a bookmark, use following directive: $Bookmark …caption… For example: $Bookmark COMRPESSOR To access bookmarks, right-click in editor and select bookmark from the list given at the end. 25naveedurrehman.com
- 26. Variable information Try: D ^2=100 J= D + 50 26 To view variable info: [Menu] Options > Variable Info or Press “F9” key Solution: naveedurrehman.com
- 27. Variable information Try: D^2=100 J =D + 50 27 Solution constraint: The value variable D of must be less than 0. Do the following settings in Variable info: Note that, a good guess may speed up processing. Another purpose of variable info is to replace a particular variable everywhere in codes. For this, try to rename variable “D” as “E” and press “Ok”. naveedurrehman.com
- 28. Exporting values 28 To export: $export/A 'filename' var1 var2 …. Where, • Flag /A is optional and is used to append contents. • Filename can have following extensions: 1. csv, tab, dat: these extensions are generally accepted by most of the software e.g. MATLAB, EXCEL. 2. txt: this extension will create file which is read-able by Open Lookup Table command from Tables menu. If file name is just ‘clipboard’, contents will be copied to clipboard. naveedurrehman.com
- 29. Importing values 29 To import: $import‘filename’, var1 var2 …. Try: Create a file ‘c:data.txt’ with the following contents: 1000 500 100 Then, solve these codes: $import 'c:data.txt', a b c d = a + b + c Solution: naveedurrehman.com
- 30. Constants 30 To add apre-defined constant: [Menu] Options > Constants Select constant from list and click “Paste”. Try: mass = 10 weight = mass*g# Remember, constants are not treated as variables! For example, in above, there are just two variables i.e. “mass” and “weight” and hence, this system of equations has some solution. Custom constants may be added to the list. naveedurrehman.com
- 31. Arrays 31 An array (orvector) is an organized collection of different values of same variable. Arrays are helpful in batch processing, making plots, etc. Try: T[1]=100 "the first element of the array T" T[2]=200 "the second element of the array T" T[3]=300 "the third element of the array T" In above, the variable “T” is not a scalar variable, but it is an array (or vector) having values 100, 200 and 300 placed at index 1, 2 and 3 respectively. $Arrays ON and $Arrays OFF directive may be used to switch the display of Arrays window. naveedurrehman.com
- 32. Multi-dimensional arrays 32 Try: T[1,1]=100 T[1,2]=200 T[1,3]=300 T[2,1]=444 T[2,2]=555 T[2,3]=666 Arrays Table: Aboveis an example of 2D array. More dimensions can be added by using “,” separator in square brackets. naveedurrehman.com
- 33. Duplicate statement 33 Duplicate statementprovides a convenient method for carrying out similar operations on multiple elements of an array. Duplicate index = start,stop equation(s) to be duplicated End duplicate i=1,4 T[i]=i end Try: Arrays Table: naveedurrehman.com
- 34. Duplicate statement 34 Try: For the10 points of “X”, the value of “Y” is “X^2+10”. Using duplicate statement, generate array table for X and Y such that: duplicate i=1,10 Y[i] = i^2 + 10 X[i]=i end Solution:: Hint: Both X and Y are vectors. A scalar variable as iterator may be used in duplicate statement. naveedurrehman.com
- 35. 2D plots 35 To drawplot: [Menu] Plots > Now Plot Window > X-Y Plot Select variables for X and Y axis and click “Ok”. Try: Draw X-Y plot for previous example. naveedurrehman.com
- 36. 3D plots 36 To drawplot: [Menu] Plots > Now Plot Window > X-Y-Z Plot Select variables for X, Y and Z axis, opt “3-D Plot” and click “Ok”. Try: Draw plot for the following: duplicate i=1,10 X[i]=i Y[i] = i + 1 Z[i] = i end naveedurrehman.com
- 37. Lookup tables 37 Lookup Tablesprovide a convenient method of saving and accessing tabular data, useful for interpolation and curve fitting. To add a lookup table: [Menu] Tables > New Lookup Table • Suggest suitable title. This will be used while retrieving values. • Select number of rows and columns required in table. • Data can be entered manually or can be copy-pasted from MATLAB, EXCEL etc. • Lookup tables can be exported to a file for sharing purpose. • Also, they can be imported from CSV files, a famous export extension supported by common data loggers. naveedurrehman.com
- 38. Lookup tables 38 Try: Time takenby a metallic ball when dropped from different height were recorded as shown in table. Develop a lookup table titled: “FALL” for this data. naveedurrehman.com
- 39. Interpolation in lookuptable 39 Interpolated data can be retrieved from lookup tables using Interpolate statement. X = Interpolate('TableName', 'Var1', 'Var2', Var=Val) Try: Using lookup table created in previous example: Ans_1 = Interpolate('FALL','Height','Time',Time=230) Ans_2 = Interpolate('FALL','Height','Time',Height=45) Solution: naveedurrehman.com
- 40. Other lookup functions 40 •Lookup: Return value at given row and column X = Lookup('Table',Row,Column) • LookupRow: Return row#. Value matching in column. X = LookupRow('Table',Column,Value) • LookupCol: Return column#. Value matching in row. X = LookupCol('Table',Row,Value) • AvgLookup: Return average of values. X = AvgLookup(‘Table','ColName',[StartRow,StopRow]) • SumLookup: Return average of values. X = SumLookup(‘Table','ColName',[StartRow,StopRow]) naveedurrehman.com
- 41. Regression 41 Regression is auseful method to find dependence of one variable on to other variables. To find linear regression equation: [Menu] Tables > Linear Regression Select dependent variable and independent variable(s). Click “Fit” to find the fitted equation. To find statistics regarding fit, click “Stats”. Polynomial order can be increased and cross-terms may be added to increase accuracy. naveedurrehman.com
- 42. Regression 42 Try: For the followingdata, determine 2nd order polynomial of “TIME” as a function of “HEIGHT” and “VELOCITY”: naveedurrehman.com
- 43. Parametric tables 43 Parametric tablesare used for parametric studies in which the effect of one variable (the independent variable) on another variable (the dependent variable) is studied. To create parametric table: Writing codes conventionally in editor and then click: [Menu] Tables > New Parametric Table To populate (or solve) a parametric table: [Menu] Calculate > Solve Table Or Press ‘F3’ key. naveedurrehman.com
- 44. Parametric tables 44 Try: Surface areaof a cylinder is given by: 𝐴 = 𝜋𝑅2 + 2𝜋𝑅𝐿 Complete the following table: naveedurrehman.com
- 45. Parametric tables witha check 45 To check whether the parametric solution is required, use: $IfNot ParametricTable …relations… $EndIf For example, in previous problem, constant values of L and R may be given inside codes: $IfNot ParametricTable L= 30 R = 50 $EndIf naveedurrehman.com
- 46. Functions 46 To access availablefunctions: [Menu] Options > Function Info Select function from list and click “Paste”. naveedurrehman.com
- 47. Useful math functions 47 •Trigonometric functions: sin, cos, tan • Trigonometric inverse functions: arcsin, arccos, arctan • Hyperbolic functions: sinh, cosh, tanh • Hyperbolic inverse functions: arcsinh, arccosh, arctanh • Logarithmic and exponent functions: ln, log10, exp • Other functions: abs, floor, sum, average, mod, max, min naveedurrehman.com
- 48. Useful fluid propertiesfunctions 48 • CP and CV: Specific heats at const. pressure and volume • PRESSURE, TEMPERATURE and VOLUME • DENSITY: It is also the reciprocal of specific volume • ENTHALPY, ENTROPY, INTENERGY (Internal energy) and QUALITY • P_CRIT, T_CRIT, V_CRIT: Critical properties • P_SAT and T_SAT: Saturation properties • T_TRIPLE: Triple point temperature • PRANDTL: Prandtl number used in heat transfer • HUMRAT and WETBULB naveedurrehman.com
- 49. Useful fluid propertiesfunctions 49 Try: How much amount of heat per kg of water 100 kPa will be required to rise temperature from 30°C to 80°C? Solution: 𝑞 = ℎ 𝑇=80℃,𝑃=100𝑘𝑃𝑎 − ℎ 𝑇=30℃,𝑃=100𝑘𝑃𝑎 Codes: P = 100 [kPa] T1 = 30 [C] T2 = 80 [C] H1 = ENTHALPY(Steam,T=T1,P=P) H2 = ENTHALPY(Steam,T=T2,P=P) Q = H2 - H1 2 1 naveedurrehman.com
- 50. Strings 50 String variables aredefined within single-quotes. For example: F$ = ‘Some string value’ They can be used in place of fluid name, for example: F$ = 'Steam' P = P_CRIT(F$) mode$ = 'blue' $if mode$='blue' x=1 $else x=0 $endif They can also be used in switching, for example: Solve these codes with mode$ value of ‘blue’ and then ‘red’. Check the value of variable b in each case. naveedurrehman.com
- 51. Diagram window 51 Diagram Windowprovides the capability to easily develop a user-friendly, graphical interface to an EES program. To open diagram window: [Menu] Windows > Diagram Window or Press ‘Ctrl+D’ key “Toolbar” When it is visible, diagram window is in edit mode. Otherwise, it is in execution mode. To view toolbar, press ‘Ctrl+D’ again. naveedurrehman.com
- 52. Diagram window 52 Try: In diagramwindow, ask user to input values of radius (R”) and length (L”) of a cylinder. Calculate surface area of cylinder using 𝐴 = 𝜋𝑅2 + 2𝜋𝑅𝐿 Diagram window: Codes: $ifnot diagramwindow R=1 L = 1 $endif A = pi*R^2 + 2*pi*R*L naveedurrehman.com
- 53. Diagram window 53 Try: In diagramwindow, ask user to select fluid (Ethanol or Steam) and then show the critical pressure accordingly. Hint: Use string list. Diagram window: Codes: $ifnot diagramwindow F$=‘Steam' $endif P = P_CRIT(F$) naveedurrehman.com
- 54. Subprograms 54 Subprograms help incompartmentalize length codes. To use a subprogram, first declare and define it one time and then call it as many times as required. For example: Declaring and defining a subprogram ‘DOF’: Subprogram DOF(X : Y, Z) “X=inputs, Y,Z = returns” X=2*Y+3*Z X^2=Y^2+Z^2 end Calling above subprogram two times: Call DOF(5: B, C) K=10 Call DOF(K: D, E) Solution: naveedurrehman.com
- 55. Subprograms 55 Try: Write a subprogramto calculate length of cylinder by calling in radius and surface area. “Declaration and definition of subprogram: CylinderLength” Subprogram CylinderLength(R,A: L) A = pi*R^2 + 2*pi*R*L End “Calls to subprogram: CylinderLength” Call CylinderLength(2,600:Length_1) Call CylinderLength(10,9000:Length_2) naveedurrehman.com
- 56. Practice problems 56 Problem #1 Theadmission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? Ans: Adults = 700, Children = 1500 SOLUTION: c = 1.5 "admission fee for children" a = 4 "admission fee for adults" p = 2200 "total number of people entered fair" t = 5050 "total fee collected" p = nc + na "nc is number of children and na is number of adults" t = nc*c + na*a "Done!" naveedurrehman.com
- 57. Practice problems 57 Problem #2 Calculatethe least distance between following points using parametric tables feature of EES: • (0,2) and (10,18) • (19,9) and (-6,16) • (-9,0) and (-4,-10) Distance formula: 𝑑2 = 𝑦2 − 𝑦1 2 + 𝑥2 − 𝑥1 2 Ans: 18.87, 25.96 and 11.18 naveedurrehman.com
- 58. Practice problems 58 Problem #3 Determinemagnitude and direction of resultant force: Ans: 629.1 N, 67.89° Solution: F_Rx = 600*cos(30) - 400*sin(45) F_Ry = 600*sin(30) + 400*cos(45) F_R = SQRT(F_Rx^2 + F_Ry^2) theta = ARCTAN(F_Ry/F_Rx) naveedurrehman.com
- 59. Practice problems 59 Problem #4 Apiston cylinder device initially contains 0.4m3 of air at 100 kPa and 80°C. The air is now compressed to 0.1m3 in such a way that the temperature inside the cylinder remains constant. Determine the work done during this process. Isothermal work done formula: 𝑃1 𝑉1 ln 𝑉2 𝑉1 Ans: -55.45 kJ naveedurrehman.com
- 60. Practice problems 60 Problem #5 Considera steam power plant operating on the simple ideal Rankine cycle. Steam enters the turbine at 3MPa and 350°C and is condensed in the condenser at a pressure of 75 kPa. Determine the thermal efficiency of this cycle. Ans: 26% naveedurrehman.com
Editor's Notes
- #10 x + y = 10xy x^2 + y^3 = 3xy