A hands-on short training on using Engineering Equation Solver (EES) for solving thermodynamics problems.

1. EES FOR
THERMODYNAMICS
A hands-on training.
Naveed ur Rehman
http://www.naveedurrehman.com/

2. EES – A software
• EES (pronounced ’ease’): “Engineering Equation Solver”
• 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
• Download software and presentation from
https://goo.gl/U9s8Ud (Disconnect internet while using EES)
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3. Environment
“Equations window”
“Menu”
“Toolbar”
Remember, EES is case-insensitive
i.e. ABC = abc = AbC = Abc…
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4. Solving linear equation
X + 3 = 5
Example:
To obtain solution:
[Menu] Calculate > Solve
or
Press “F2” key
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5. Solving linear equation
X + 3 = 5
Example:
Solution Window:
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6. Solving polynomial
3*H^2 - 4*H - 5 = 0
Example:
Solution Window:
6
3𝐻2
− 4𝐻 − 5 = 0
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7. Solving system of equations
Example:
X + Y = 10
X - 2*Y = 5
7
X + Z = 10 - Y
X - 2*Y = 5
X = 4 - Z
X + Y + Z = 10
X + Y = 0
What about this?
Remember, number of variables = number of equations!
ERROR!
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8. Solving system of equations
Example:
V = pi * (R^2) * H
R = 10
H = 12
8
Calculate volume of cylinder where radius is 10 m and
height = 12 m (using 𝑉 = 𝜋𝑅2 𝐻)
Calculate radius of cylinder where height is 10 m and
volume = 3000 m3 (using 𝑉 = 𝜋𝑅2 𝐻)
V = pi * (R^2) * H
H = 10
V = 3000
𝑅 = Τ𝑉 𝜋𝐻
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9. Exercise
9
A piston cylinder device initially contains 0.4m3 of air at
100kPa 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.
𝑊𝑖𝑠𝑜𝑡ℎ𝑒𝑟𝑚𝑎𝑙 = 𝑃1 𝑉1 ln
𝑉2
𝑉1
V1 = 0.4
P1 = 100
T1 = 80
V2 = 0.1
Wb = (P1*V1)*ln(V2/V1)
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10. Units and conversion
Try:
A = 30*Convert(ft,m)
B = 10*Convert(MJ, kJ)
C = 100*Convert(kJ/kg,BTU/lbm)
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Solution:
Note: Unit to each variable is automatically assigned.
Convert statement is used to do unit conversion:
Convert ( from-unit , to-unit )
Right-click and
select “Units list”
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11. Exercise
a = 3*convert(bar/kW,kPa/J)
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Convert 3 bar/kW to kPa/J
Convert 3 bar/kW to kPa.s/J
a = 3*convert(bar/kW,kPa*s/J)
ERROR!
Remember, always convert into consistent units.
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12. Units and conversion: Temperature
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"
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Solution:
ConvertTemp statement is used to do unit conversion
between degree centigrade (°C) and Fahrenheit (°F):
ConvertTEMP ( from-unit , to-unit, value)
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13. Built-in Functions
13
To access built-in functions:
[Menu] Options > Function Info
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14. Exercise
14
What is the
temperature of
water/steam at
11 MPa and
internal energy
of 2920 kJ/kg?
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15. Exercise
15
What is the enthalpy of water/steam at 100 ⁰C and 50 kPa?
Solution:
ℎ 𝑤𝑎𝑡𝑒𝑟 = ℎ 𝑇=100℃,𝑃=50𝑘𝑃𝑎
Tw = 100
Pw = 50
hw = enthalpy(Steam,T=Tw,P=Pw)
hw = enthalpy(Steam,T=100,P=50)
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16. Exercise
16
What is the specific volume of water/steam at 100 ⁰C and 50
kPa?
Solution:
𝑣 𝑤𝑎𝑡𝑒𝑟 = 𝑣 𝑇=100℃,𝑃=50𝑘𝑃𝑎
v = volume(Steam,T=100,P=50)
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17. Exercise
17
A rigid tank contains 50 kg of saturated liquid water at 90
⁰C. Determine pressure in the tank and volume of tank.
Pw=Pressure(Steam,T=90,x=0)
Vw = 50*Volume(Steam, T=90,x=0)
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18. Exercise
18
A mass of 200 gm of saturated liquid water is completely
vaporized at a constant pressure of 100 kPa. Determine
the volume change and the amount of energy added to
water.
m = 200/1000
x1 = 0
x2 = 1
Pw = 100
V1 = volume(Steam, P=Pw, x=x1)
V2 = volume(Steam, P=Pw, x=x2)
V = m*(V2-V1)
h1 = enthalpy(Steam, P=Pw, x=x1)
h2 = enthalpy(Steam, P=Pw, x=x2)
H = m*(h2-h1)
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19. Exercise: Rankine Cycle
19
Consider a steam power plant operating on a simple ideal
Rankine cycle. Steam enters the turbine at 3 MPa and
350⁰C and is condensed in a condenser at a pressure of
75kPa. Determine the thermal efficiency of this cycle.
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20. Exercise: Rankine Cycle
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P1 = 75
T1 =TEMPERATURE(Steam,P=P1,x=0)
h1 = ENTHALPY(Steam,T=T1,P=P1)
v1 = VOLUME(Steam,P=P1,x=0)
P2 = 3*convert(MPa,kPa)
Wp = v1*(P2-P1)
h2 = h1 + Wp
P3 = P2
T3 = 350
h3 = ENTHALPY(Steam,T=T3,P=P3)
s3 = ENTROPY(Steam,T=T3,P=P3)
P4 = P1
s4 = s3
h4 = ENTHALPY(Steam,s=s4,P=P4)
qin = h3 - h2
qout = h4 - h1
eta = 1-qout/qin
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21. THANK YOU!
Naveed ur Rehman
http://www.naveedurrehman.com/
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