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Theoretical and Experimental Investigations on
Inverse Design of Air Foil for Low Wind Speed
Conditions
Presented By,
Vijai Kaarthi V (18MN11),
ME Energy Engg,
PSGCT
Guide,
Dr. Viswanathan P,
Dept. of Mechanical Engg,
PSGCT
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
118SE71
CLASS.
ME: ENERGY
Overview
ØIntroduction
ØBackground and Motivation
ØLiterature Survey
ØProblem Definition
ØObjective
ØMethodology
ØModules of Work
ØConclusion
ØScope for further work
ØReferences
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
218SE71
CLASS.
ME: ENERGY
Introduction...
Global Wind Resource Capacity (MW)
China 145362
USA 74471
Germany 44947
India 25088
Table. 1 Wind as a potential Resource [1]
COURSE CODE. PAGE
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Department of Mechanical Engineering
318SE71
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ME: ENERGY
Introduction…
Pollutant Emission (Tonnes)
CO2 300 to 500
SO2 2 to 3.2
NO 1.2 to 4
Particulates 0.15 to 0.28
Table. 2 Pollution Saving Potential of Wind (for 400,000 kWh/ Year) [a]
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
418SE71
CLASS.
ME: ENERGY
Introduction…
Turbine
Diameter
(m)
Rated Wind
Speed
(m/s)
Rated
Power (W)
Rated
Turbine
Speed
(rpm)
Predicted
Power at
3 m/s (W)
Coefficient
of
Performance
1.6 10 300 400 8 0.25
2.7 10 1000 300 27 0.3
5.5 10 5000 200 135 0.36
Table. 3 Low Speed Wind Turbines [i]
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ME: ENERGY
Background and Motivation
The average wind speed in Coimbatore is less than 3 m/s [b]
At low wind speeds (< 3 m/s), commercial turbines fails to operate.
A low cost device to tap this low grade - green energy is an endowment to
the society
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ME: ENERGY
Literature Survey…
q KSR. Moorthy etal.[1]
§ They were not able to bring a sound insight into the performance evaluation of
estimation methods for Weibull parameters.
q CBK. Moorthy etal.[2]
§ The steps involved in assessment for placing the wind turbines and performance
evaluation parameters like wind power density, capacity factor, etc. were studied.
COURSE CODE. PAGE
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Literature Survey…
q Jianzou Wang etal. [3]
§ Empirical methods of Justus and Lysen present favorable efficiency.
q Mahmet Bakirci etal. [4]
§ Average maximum power coefficient of 0.54 and an OTSR of 8.2 when the airfoil
properties given in the airfoil catalog were used; these values were 0.43 and 6.7,
respectively, when the airfoil properties were calculated using CFD and 0.41 and 7.3
when the HAWTs were simulated using three-dimensional CFD.
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ME: ENERGY
Literature Survey…
qSelig [5] etal.
§ explains the determination of airfoil shape as accomplished by coupling potential
flow method with direct integral flow boundary layer method.
q Selig [6]
§ Uses conformal mapping as a tool for multi-point design.The velocity distribution
over the divided segments is given as an input. Several other conditions must be
met while defining the distribution so as to preserve the closure of blades.
qDulikravich and Baker [7]
§ developed a new formulation for Fourier Series for inverse airfoil design. The
method is analytical and can be used in flow-field codes for faster convergence.
COURSE CODE. PAGE
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Department of Mechanical Engineering
918SE71
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ME: ENERGY
Problem Definition…
vTo identify the weighted mean wind speed at the site (PSGCT)
vTo design and develop an air foil capable of producing required lift force.
Øto overcome the moment of inertia of the blade themselves
Øto overcome pre-tension (bearing loads)
Øto generate power
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Objective
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Methodology
Design of
Air foil
Inverse Design Approach
(Potential Flow/
Conformal)
Desired
result –
goto 2
Weighted
mean wind
speed
Wind Resource
Assessment
NRG Symphonie Data
Logger
CFD – 2D Analysis
Design of
Blades
Theoretical Design
CFD – 3D Analysis
Fabrication
of Blades
Experimental
Testing
1
2
COURSE CODE. PAGE
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Data Logger
Figure. 1 Data Logger and Meteorological Mast at PSGCT
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Data Quality Report
• Bad Data: 0%
• Ice Data: 0%
• Invalid Data: 0%
• Percent Data Used: 98.92%
Figure. 2 Data Quality - NRG Symphonie
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
0
5
10
15
20
25
30
35
40
45
50
55
0
5
10
15
20
25
30
35
40
45
50
55
0
5
10
15
20
25
30
35
40
45
50
55
IceDataBadSensorInvalidData
July 2019
Data Quality Report Ch 1
SITE 0612
PSG Tech
Project: New Project
Location: Peelamedu, Coimbatore
Elevation:
NRG #40 Anem. m/s
Height: 50 m
Serial #: SN:53009
Data is of this type
Data is of another type
Good Data 98.92%
Ice Data 0%
Bad Sensor 0%
Invalid Data 0%
Site Information:
Sensor on channel 1:
Percent data by type:
Generated 05 August 2019 NRG Systems SDR Version 7.08
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Frequency Distribution
• Total 10 minute intervals: 4464
• Intervals used in calculation: 4412
Figure. 3 Frequency Distribution (July, 2019)
July 2019
Frequency Distribution Ch 1
SITE 0612
PSG Tech
Project: New Project
Location: Peelamedu, Coimbatore
Elevation:
NRG #40 Anem. m/s
Height: 50 m
Serial #: SN:53009
Site Information: Sensor on channel 1:
4
8
12
16
20
24
28
32
36
40
0 5 10 15 20 25 30 35 40 45
Wind Speed in m/s
Frequency Distribution
RelativeFrequency%
Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8
COURSE CODE. PAGE
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Hourly Averages
Figure.4 Variation of wind velocity (m/s) on hourly basis
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
0
5
10
15
20
25
30
35
40
45
50
55
July 2019
Hourly Averages Graph Ch 1
SITE 0612
PSG Tech
Project: New Project
Location: Peelamedu, Coimbatore
Elevation:
NRG #40 Anem. m/s
Height: 50 m
Serial #: SN:53009
Site Information: Sensor on channel 1:
Average Value: 2.9
Days
Average Hourly Values
Valuesinm/s
Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
AVG
AVG
Day
Hour
* * * * * * * * 1.1 2.0 3.0 4.1 5.9 5.7 6.4 6.3 6.3 6.0 4.3 3.5 2.9 3.0 2.4 1.8 4.2
2.4 2.7 2.5 2.4 1.9 1.8 2.2 1.8 2.7 3.3 3.7 3.5 4.5 3.7 3.6 4.1 3.5 4.2 2.7 2.1 2.9 2.4 2.1 3.3 2.9
3.5 3.1 2.7 2.1 2.3 2.6 2.0 2.7 2.0 2.3 3.6 4.3 4.2 5.4 4.5 4.5 5.1 4.4 4.5 3.7 3.1 3.7 2.5 2.0 3.4
2.0 2.4 2.6 2.3 2.5 2.0 1.4 1.8 2.5 3.6 3.7 3.0 3.6 5.1 5.6 4.1 4.3 5.0 3.8 3.3 3.0 2.1 2.1 2.5 3.1
2.2 2.3 2.0 2.1 2.2 2.0 2.9 3.3 3.0 3.0 3.7 4.1 5.1 5.6 5.2 4.1 4.6 3.5 3.9 3.4 2.0 2.2 1.4 1.8 3.1
2.2 2.6 2.1 1.9 1.9 1.2 1.9 1.5 2.4 2.9 3.0 3.1 3.5 5.7 4.6 3.8 3.3 4.5 4.6 3.2 3.3 1.6 1.2 2.0 2.8
2.5 3.2 2.3 3.4 2.5 1.5 2.0 2.7 3.3 3.9 4.3 4.8 5.5 4.0 4.2 4.4 5.4 4.9 5.0 4.7 3.4 3.1 3.6 4.0 3.7
3.0 2.4 3.1 2.1 2.7 3.9 2.2 2.7 3.1 3.3 4.3 5.7 6.2 6.0 6.6 5.5 5.4 4.1 3.3 2.9 3.0 2.0 2.1 2.2 3.7
2.1 1.8 1.4 1.5 2.1 2.4 1.2 2.2 2.2 2.9 3.1 3.9 4.6 5.1 4.4 4.4 4.8 3.6 2.4 2.6 3.1 3.1 2.0 2.0 2.9
3.1 2.4 2.0 3.0 1.8 1.5 0.8 1.1 1.9 2.5 3.0 3.7 4.8 4.6 3.7 3.6 4.5 3.2 3.3 3.9 2.1 2.2 2.9 2.6 2.8
2.3 3.1 1.7 2.9 2.5 2.8 3.0 1.9 0.8 1.1 1.6 2.8 2.7 2.7 3.7 4.2 4.2 2.9 1.6 1.7 1.8 1.4 1.3 1.6 2.3
1.0 1.3 1.1 1.1 1.3 0.5 0.5 0.9 0.6 1.3 2.8 2.6 2.3 2.6 3.1 3.2 3.2 3.5 3.0 2.5 2.5 2.4 2.1 2.5 2.0
2.2 2.1 1.5 1.4 1.4 1.3 1.1 0.6 1.0 1.4 1.7 2.3 2.4 3.3 3.3 4.0 3.8 3.6 2.7 2.9 2.3 2.4 2.1 1.7 2.2
2.0 1.6 1.6 2.2 2.2 1.3 0.7 0.9 1.4 2.2 3.1 2.5 3.2 4.1 4.4 4.5 4.0 3.4 3.1 2.8 2.7 2.7 2.6 2.3 2.6
2.3 1.8 2.2 2.4 1.7 1.6 1.5 1.7 1.4 2.4 3.0 2.6 4.1 4.4 4.0 4.2 4.2 4.2 3.2 2.6 2.6 2.2 2.3 2.3 2.7
1.8 2.6 2.0 2.3 1.9 2.2 1.8 1.7 2.3 1.9 2.2 3.1 3.1 3.6 3.3 3.7 4.1 3.8 2.8 3.4 2.8 3.0 2.6 2.7 2.7
2.1 1.8 2.0 1.7 1.4 1.9 2.1 1.3 1.8 2.6 2.5 3.0 3.8 3.2 3.0 3.4 3.4 3.3 2.7 2.0 2.2 2.6 2.4 1.5 2.4
1.7 1.8 2.2 1.8 2.0 1.5 1.7 2.2 1.9 1.8 2.1 2.8 1.9 2.4 2.1 3.0 3.6 2.9 3.0 2.6 2.4 2.5 2.1 1.8 2.2
2.5 2.4 2.7 2.1 2.3 2.4 2.2 2.4 2.2 2.8 3.0 3.2 3.8 3.9 3.6 3.5 3.3 3.3 2.9 2.9 3.2 3.2 4.6 2.9 3.0
2.8 2.5 1.5 3.3 2.6 3.2 2.6 2.5 2.6 3.4 3.9 4.7 6.4 6.2 5.7 6.1 5.4 5.3 4.4 3.4 2.9 2.8 3.2 2.5 3.8
2.5 3.1 2.6 2.1 2.3 2.5 2.3 2.6 2.7 3.0 3.3 3.5 4.5 6.0 6.0 5.9 4.6 3.2 3.1 3.7 3.0 2.6 3.1 2.5 3.4
2.4 2.3 1.4 1.7 1.6 2.2 3.8 1.7 2.7 3.6 3.6 4.9 4.0 4.1 4.2 4.3 3.9 4.2 2.8 2.9 2.9 1.6 1.4 1.6 2.9
1.5 1.2 1.1 1.4 2.4 2.3 1.7 1.5 2.0 2.3 2.7 3.2 3.4 3.7 4.0 4.2 3.8 4.3 3.1 3.1 2.9 1.9 2.3 1.9 2.6
1.8 2.3 2.3 2.0 1.6 1.2 1.3 1.5 2.8 2.7 2.2 1.7 3.8 4.1 4.0 3.8 3.8 3.7 3.5 3.2 3.1 2.6 2.2 2.9 2.7
2.3 2.0 2.1 1.9 1.8 2.0 2.2 1.5 1.7 2.2 2.3 2.4 3.0 3.4 3.8 4.1 4.1 3.7 2.9 2.5 2.4 2.5 2.2 2.8 2.6
2.1 2.0 2.2 2.1 2.2 1.9 2.4 2.0 1.3 2.1 2.5 3.6 3.8 3.1 3.4 3.3 3.7 4.1 2.8 1.9 1.8 1.6 2.5 1.1 2.5
1.2 2.1 1.6 1.5 0.6 0.6 1.1 1.6 1.5 1.8 2.5 3.0 3.5 3.4 4.3 4.5 3.9 3.6 3.3 2.7 2.8 2.6 3.1 2.6 2.5
3.1 2.5 2.9 2.7 2.1 2.5 1.7 1.7 1.8 2.6 3.9 4.9 6.0 6.2 5.9 6.0 5.8 4.9 4.3 3.9 3.4 2.0 3.4 2.4 3.6
2.8 2.3 2.0 2.2 2.3 1.5 1.6 2.2 2.0 2.3 3.5 4.2 4.9 5.9 5.7 6.0 6.0 5.5 4.1 3.7 3.6 2.9 2.2 2.0 3.4
2.0 2.2 2.1 1.4 1.3 1.5 1.7 1.4 1.4 2.1 1.8 2.2 3.6 3.5 4.4 4.8 4.5 3.9 2.9 2.3 2.4 2.1 2.1 2.2 2.5
2.1 1.8 2.0 1.5 1.4 0.9 1.8 1.7 1.9 2.7 3.0 3.4 4.0 4.6 4.2 3.8 3.8 3.7 3.5 2.6 2.0 1.7 1.8 1.9 2.6
2.3 2.3 2.0 2.1 2.0 1.9 1.8 1.8 2.0 2.5 3.0 3.4 4.1 4.4 4.3 4.4 4.3 4.0 3.3 3.0 2.7 2.4 2.4 2.2 2.9
July 2019
Hourly Averages Table Ch 1
SITE 0612
PSG Tech
Project: New Project
Location: Peelamedu, Coimbatore
Elevation:
NRG #40 Anem. m/s
Height: 50 m Units: m/s
Serial #: SN:53009
Site Information: Sensor on channel 1:
Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
1618SE71
CLASS.
ME: ENERGY
Wind Rose
Figure. 5 Variation of wind velocity with directions
.32
.32
.30
.34
.33
.32
N
EW
S
July 2019
Wind Rose Ch 1, 7
SITE 0612
PSG Tech
Percent of Total Wind Energy
Percent of Total Time
Outer Numbers are Average TIs
Inner Circle = 0%
Outer Circle = 60%
Project: New Project
Location: Peelamedu, Coimbatore
Elevation:
for speeds greater than 4.5 m/s
NRG #40 Anem. m/s
Height: 50 m
Serial #: SN:53009
#200P Wind Vane
Height: 050 m
Serial #: SN:491
Site Information:
Anemometer on channel 1:
Vane on channel 7:
Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8
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Results...
Month/Year Max. Wind Speed (m/s) Average Wind Speed (m/s)
Jan/2019 4.9 1.7
Feb/2019 3.3 1
Mar/2019 3.6 1.7
Apr/2019 3.7 1.4
May/2019 3.9 1.7
Jun/2019 2.9 1.6
Jul/2019 3.7 1.8
Aug/2019 6.6 2.9
Sept/2019 6.1 2.5
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Table. 4 Recorded Wind Speeds at the Site (PSGCT)
Results...
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Figure. 6 Variation of wind velocity (m/s) on hourly basis: Avg. Wind Profile
- 10th July 0030 to 11th July 0020
Results...
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Figure.7 Wind Frequency Distribution on for July, 2019
Series1 0 0 3 2 5 6 3 5 5 7 11 7 8 6
0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8
0 0
3
2
5
6
3
5 5
7
11
7
8
6
y = -0.0064x3 + 0.0929x2 + 0.4659x - 0.3676
R2 = 0.7496
0
2
4
6
8
10
12
Ocuurance
Bin (0.2 m/s)
Frequency Distribution
Inverse Design Approach
• The geometry is generated by a targetted difference in pressure coefficient
values.
• Step_1: Developing the Governing Equation
• Step_2: Solving the Differential equation
• Step_3: Applying the Boundary Condtions to get the constants
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Problem Formulation
Approach1:
• Inverse Boundary Layer Method to find Velocity Distribution that creates
the desired Boundary Layer.
• The resulting velocity distribution is then used as input to a potential-flow
inverse airfoil method that provides the corresponding airfoil shape.
Demerits:
• Single - Point - Post Analysis rectification is necessary.
• Inverse Boundary equations are difficult to be obtained.
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Problem Formulation...
Approach2:
• In an interactive and iterative fashion, all of the design goals are achieved
by carefully adjusting the velocity distribution provided as input to the
inverse method.
• Based on feedback from successive analyses and with some experience,
velocity distribution may be changed in the direction necessary to bring the
airfoil closer to the desired goals.
• The method uses conformal mapping to transform the flow about the circle
into that about an airfoil.
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Kutta - Joukowski Transformation
• For Z, Real Part: (1)
• Imaginary Part: (2)
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







22
22
1











22
22
1



Joukowski Transformation...
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-1
-0.5
0
0.5
1
1.5
2
-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5
ImaginaryAxis
Real axis
Joukowski Transform
circle foil_transform
Figure.8 Joukowski transformation of circle to airfoil
Creation of Control Points
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Figure.8 Potential Flow over unit circle
Setting up the Velocity Distribution
At third and fourth segments at Îą = 5o
plotted as a function of a) arc limit of circle
b) arc length of airfoil c) shape function H12
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Figure.9 Definition of velocity distributions imposed over unit circle
Results...
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Figure.10 XFLR5_6.5o Cp plot
Results...
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Figure.11 Spline Setting and Airfoil Design
Results...
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Figure.12 ModifiedAirfoil cp at 6.5o
Results...
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Figure.13 Airfoil Characteristics at Various Angles of Attack
Definition of Geometry
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Figure.14 Geometry for 2D - Foil Analysis
Definition of Meshing
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Figure.15 Meshing for 2D - Foil Analysis
Governing Equations - Solver Physics
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Results...
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Figure.16 Airfoil pressure distribution at Îą =10o
Results...
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Figure.17 Histogram - static pressure distribution
The Strouhal Number represents a measure
of the ratio of the inertial forces due to the
u n s t e a d i n e s s o f t h e f l o w o r l o c a l
acceleration to the inertial forces due to
changes in velocity from one point to an
other in the flow field.
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Results...
Figure.18 FFT - lift force diagram
The Strouhal Number represents a measure
of the ratio of the inertial forces due to the
u n s t e a d i n e s s o f t h e f l o w o r l o c a l
acceleration to the inertial forces due to
changes in velocity from one point to an
other in the flow field.
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Results...
Figure.18 FFT - lift force diagram
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Results...
Figure.19 2d foil - re: 200,000 characteristics
0.24
0.30
1.16
1.61
1.83 1.79
1.62
0.10 0.07 0.04 0.05 0.08
0.14
0.24
0
0.25
1.25
1.7
2.1
2.3
2.1
0
0.5
1
1.5
2
2.5
-15 -10 -5 0 5 10 15 20 25
ClandCdValues
Angle of Attack
Cl and Cd Vs Alpha - airfoil (Re: 2e5)
Cl Vs Alpha Cd vs Alpha Actual Cl Vs AOA
Results...
Angle of Attack Drag (N) Lift (N) Cd Cl
-10 1.6959628 4.0752361 0.099641216 0.2394283
-5 1.1879306 5.1738681 0.069796334 0.30397513
0 0.70006019 19.754193 0.041129941 1.1605985
5 0.93128281 27.440524 0.054714734 1.6121858
10 1.4360859 31.227365 0.084372926 1.8348835
15 2.4394 30.4701 0.14332 1.7902
20 4.0106 27.499 0.2356 1.6156
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Project Work - Phase I
Department of Mechanical Engineering
4018SE71
CLASS.
ME: ENERGY
Table.5 2d foil - re: 200,000 characteristics
Results...
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4118SE71
CLASS.
ME: ENERGY
Table.6 2d foil - Error Table
Angle of Attack Cl actual Cl experimental Error
-10 0.24 0.1 0.14
-5 0.30 0.25 0.05
0 1.16 1.25 -0.09
5 1.61 1.7 -0.09
10 2.1 1.83 -0.27
15 2.3 1.79 -0.51
20 2.1 1.62 -0.48
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4218SE71
CLASS.
ME: ENERGY
Results...
Figure.20 2d foil - re: 200,000 characteristics - flow encapsulation
0.43
0.93
1.39
1.81
2.12
2.04
1.50
-0.45
-0.16
0.10
0.32
0.50
0.68
0.79
0.07 0.04 0.05 0.07 0.11 0.17
0.25
0.18
0.11 0.10 0.12 0.17
0.26
0.37
-1
-0.5
0
0.5
1
1.5
2
2.5
-15 -10 -5 0 5 10 15 20 25
Cl,Cd
Angle of Attack
S_1223 : 2 foils translated by (25,25)mm
cl_b1 vs aoa cl_b2 vs aoa cd_b1 vs aoa cd_b2 vs aoa
Results...
Angle of
Attack
Cd - B1 Cd - B2
Drag - B1
(N)
Drag - B2
(N)
Cl - B1 Cl - B2
Lift - B1
(N)
Lift - B2 (N)
-10 0.067099391 0.17628517 1.1420783 3.0004961 0.42639032 -0.45143836 7.2574598 -7.6837948
-5 0.036646459 0.11402485 0.62374822 1.9407823 0.92731378 -0.16291905 15.783525 -2.7729955
0 0.045425961 0.09974258 0.77318144 1.6976881 1.3938489 0.10113547 23.724278 1.7213961
5 0.071034771 0.12080039 1.2090612 2.0561164 1.8115776 0.31896256 30.834311 5.4289645
10 0.11250632 0.1680308 1.9149358 2.8600011 2.1197935 0.5014316 36.08036 8.5347145
15 0.16867 0.25516 2.8709 4.3429 2.0403 0.68272 34.727 11.62
20 0.24605987 0.37315456 4.18811 6.3513502 1.5036067 0.79312064 25.592432 13.499465
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4318SE71
CLASS.
ME: ENERGY
Table.7 2d foil - re: 200,000 characteristics for encapsulation
Results (Post)...
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4418SE71
CLASS.
ME: ENERGY
Figure.21 2d foil - re: 200,000 - streamlines of flow
Results (Post)...
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4518SE71
CLASS.
ME: ENERGY
Figure.22 2d foil - pressure and velocity profiles in flow domain
Blade Design
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4618SE71
CLASS.
ME: ENERGY
Figure. 23 Geometry for 3d blade analysis
Definition of Geometry
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4718SE71
CLASS.
ME: ENERGY
Figure. 24 Design modeler developed 3d flow domain
Inner (Rotating
Domain)
Blade
Outer (Enclosure)
Definition of Flow Domain
Table. 8 Turbine Domain Considerations
Geometry
root
(mm)
tip
(mm)
chord 50 25
thickness 6 3
hub radius 125
blade length 400
inner domain diameter 1200
offset from blade 100 (front); 1000 (rear)
outer domain dimensions
(cushion - x,y,z)
100, 500, 100
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4818SE71
CLASS.
ME: ENERGY
Definition of Meshing
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
4918SE71
CLASS.
ME: ENERGY
Figure. 25 Meshing for 3d blade analysis
Solver - Physics
Table. 9 Fluent physics setup for 3d dynamic meshing
Setup Brief Note
Time Transient
Model k - epsilon (realisable) - enhanced wall treatment
Boundary Conditions Inlet - Velocity (magnitude and direction)
Outlet - Pressure outlet (101325 Pa)
Dynamic Meshing 6 DOF
Created
Blade - Rigid
Body
(Not passive)
Inner Domain - Rigid
Body
(Passive)
Outer Domain -
Deforming Body
DOF Properties Mass - 0.344498 kg (Material - Wood)
Rotation about Y - Axis Only
Moment of Inertia - 0.01708911 kg-m2
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5018SE71
CLASS.
ME: ENERGY
Results (Post)… (8-10;1-2s)
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5118SE71
CLASS.
ME: ENERGY
Figure. 26 Rotational behavior of wind turbine
Results (Post)…
Inlet Velocity (m/s) RPM of Turbine
3 6.0375
5 14.083
10 26.988
15 70.348
Table. 10 Speed of Rotation (rpm) @ T = 0 to 100 s
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5218SE71
CLASS.
ME: ENERGY
Blade Material
• Section: Rectangular, Designed Foil
• Material: Wood, CFRP
Properties of Wood: (Preliminary Testing)
density: 0.00074 g/mm3
ultimate strength: 5301000 Pa
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5318SE71
CLASS.
ME: ENERGY
Blade Design - Geometry
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5418SE71
CLASS.
ME: ENERGY
Figure. 27 Rotational behavior of wind turbine
Conclusions
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5518SE71
CLASS.
ME: ENERGY
Ø The observed weighted mean averaged wind speed at the site
form Jan - Sept, 2019 at PSGCT Campus is 1.8 m/s with 70%
wind relative to 36o NW winds.
ØThe airfoil subjected to numerical analysis gives Clmax = 1.83.
This foil is subjected for 3D analysis.
ØThe scope is to simulate the dynamic behavior of wind turbine
based on the airfoil generated through inverse design and is
implemented successfully.
Scope of the Project
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5618SE71
CLASS.
ME: ENERGY
ØThe scope of the project is to experimentally test the blades
and completely develop the mathematical distribution of velocity
over the profile and generate a design for airfoil.
References…
[1] K.S.R. Murthy, O.P. Rahi, A comprehensive review of wind resource
assessment, Renewable and Sustainable Energy Reviews, Volume 72,
2017, Pages 1320-1342, ISSN 1364-0321,
https://doi.org/10.1016/j.rser.2016.10.038.
[2] C. Balakrishna Moorthy, M.K. Deshmukh, Wind Resource Assessment
Using Computer Simulation Tool: A Case Study, Energy Procedia, Volume
100, 2016, Pages 141-148, ISSN 1876-6102,
https://doi.org/10.1016/j.egypro.2016.10.156.
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5718SE71
CLASS.
ME: ENERGY
References…
[3] Jianzhou Wang, Xiaojia Huang, Qiwei Li, Xuejiao Ma, Comparison of
seven methods for determining the optimal statistical distribution
parameters: A case study of wind energy assessment in the large-scale wind
farms of China, Energy, 2018.
[4] Mehmet BakÄąrcÄą, Sezayi YÄąlmaz, Theoretical and computational
investigations of the optimal tip-speed ratio of horizontal-axis wind turbines,
Engineering Science and Technology, an International Journal, Volume 21,
Issue 6, 2018, Pages 1128-1142, ISSN 2215-0986,
https://doi.org/10.1016/j.jestch.2018.05.006.
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5818SE71
CLASS.
ME: ENERGY
References…
[5] An inverse approach for airfoil design M. T. Rahmati, G. A. Aggidis & M.
Zangeneh, Lancaster University, Engineering Department, UK, University
College London, Mechanical Engineering Department, UK, Volume 30, No.
11, November 1992, AIAA.
[6] Generalized Multipoint Inverse Airfoil Design, Selig and Maughmer,
Pennsylvania State University, Volume 32, No. 4, April 1994, AIAA.
[7] Fourier Series Solution for Inverse Design of Aerodynamic Shapes, GS
Dulikravich, DP Baker, Penn State University, USA, Inverse Problems in
Engineering Mechanics, 1998, Elsevier.
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
5918SE71
CLASS.
ME: ENERGY
References…
i. Low Speed Wind Turbine Design, Horizon Gitano – Briggs,
http://dx.doi.org/10.5772/53141
ii. Guide to manufacturing and modelling of composite wind turbine blades,
Cornell university, MAE 4021 project guide.
iii. Wind turbine blade design, Calvin Phelps, John Singleton, Cornell
university.
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
6018SE71
CLASS.
ME: ENERGY
References…
[a]http://vikaspedia.in/energy/energy-production/wind-energy/importance-of-
wind-energy
[b]https://www.weatheronline.in/weather/maps/city?FMM=1&FYY=2010&LMM
=6&LYY=2019&WMO=43321&CONT=inin&REGION=0024&LAND=II&ART=W
ST&R=0&NOREGION=0&LEVEL=162&LANG=in&MOD=tab
[c] https://mnre.gov.in/wind
[d] openstreetmap_contributers
COURSE CODE. PAGE
Project Work - Phase I
Department of Mechanical Engineering
6118SE71
CLASS.
ME: ENERGY

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Airfoil Design and Dynamic Investigations on Turbine

  • 1. Theoretical and Experimental Investigations on Inverse Design of Air Foil for Low Wind Speed Conditions Presented By, Vijai Kaarthi V (18MN11), ME Energy Engg, PSGCT Guide, Dr. Viswanathan P, Dept. of Mechanical Engg, PSGCT COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 118SE71 CLASS. ME: ENERGY
  • 2. Overview ØIntroduction ØBackground and Motivation ØLiterature Survey ØProblem Definition ØObjective ØMethodology ØModules of Work ØConclusion ØScope for further work ØReferences COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 218SE71 CLASS. ME: ENERGY
  • 3. Introduction... Global Wind Resource Capacity (MW) China 145362 USA 74471 Germany 44947 India 25088 Table. 1 Wind as a potential Resource [1] COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 318SE71 CLASS. ME: ENERGY
  • 4. Introduction… Pollutant Emission (Tonnes) CO2 300 to 500 SO2 2 to 3.2 NO 1.2 to 4 Particulates 0.15 to 0.28 Table. 2 Pollution Saving Potential of Wind (for 400,000 kWh/ Year) [a] COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 418SE71 CLASS. ME: ENERGY
  • 5. Introduction… Turbine Diameter (m) Rated Wind Speed (m/s) Rated Power (W) Rated Turbine Speed (rpm) Predicted Power at 3 m/s (W) Coefficient of Performance 1.6 10 300 400 8 0.25 2.7 10 1000 300 27 0.3 5.5 10 5000 200 135 0.36 Table. 3 Low Speed Wind Turbines [i] COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 518SE71 CLASS. ME: ENERGY
  • 6. Background and Motivation The average wind speed in Coimbatore is less than 3 m/s [b] At low wind speeds (< 3 m/s), commercial turbines fails to operate. A low cost device to tap this low grade - green energy is an endowment to the society COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 618SE71 CLASS. ME: ENERGY
  • 7. Literature Survey… q KSR. Moorthy etal.[1] § They were not able to bring a sound insight into the performance evaluation of estimation methods for Weibull parameters. q CBK. Moorthy etal.[2] § The steps involved in assessment for placing the wind turbines and performance evaluation parameters like wind power density, capacity factor, etc. were studied. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 718SE71 CLASS. ME: ENERGY
  • 8. Literature Survey… q Jianzou Wang etal. [3] § Empirical methods of Justus and Lysen present favorable efficiency. q Mahmet Bakirci etal. [4] § Average maximum power coefficient of 0.54 and an OTSR of 8.2 when the airfoil properties given in the airfoil catalog were used; these values were 0.43 and 6.7, respectively, when the airfoil properties were calculated using CFD and 0.41 and 7.3 when the HAWTs were simulated using three-dimensional CFD. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 818SE71 CLASS. ME: ENERGY
  • 9. Literature Survey… qSelig [5] etal. § explains the determination of airfoil shape as accomplished by coupling potential flow method with direct integral flow boundary layer method. q Selig [6] § Uses conformal mapping as a tool for multi-point design.The velocity distribution over the divided segments is given as an input. Several other conditions must be met while defining the distribution so as to preserve the closure of blades. qDulikravich and Baker [7] § developed a new formulation for Fourier Series for inverse airfoil design. The method is analytical and can be used in flow-field codes for faster convergence. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 918SE71 CLASS. ME: ENERGY
  • 10. Problem Definition… vTo identify the weighted mean wind speed at the site (PSGCT) vTo design and develop an air foil capable of producing required lift force. Øto overcome the moment of inertia of the blade themselves Øto overcome pre-tension (bearing loads) Øto generate power COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1018SE71 CLASS. ME: ENERGY
  • 11. Objective COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1118SE71 CLASS. ME: ENERGY
  • 12. Methodology Design of Air foil Inverse Design Approach (Potential Flow/ Conformal) Desired result – goto 2 Weighted mean wind speed Wind Resource Assessment NRG Symphonie Data Logger CFD – 2D Analysis Design of Blades Theoretical Design CFD – 3D Analysis Fabrication of Blades Experimental Testing 1 2 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1218SE71 CLASS. ME: ENERGY
  • 13. Data Logger Figure. 1 Data Logger and Meteorological Mast at PSGCT COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1318SE71 CLASS. ME: ENERGY
  • 14. Data Quality Report • Bad Data: 0% • Ice Data: 0% • Invalid Data: 0% • Percent Data Used: 98.92% Figure. 2 Data Quality - NRG Symphonie 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 5 10 15 20 25 30 35 40 45 50 55 0 5 10 15 20 25 30 35 40 45 50 55 0 5 10 15 20 25 30 35 40 45 50 55 IceDataBadSensorInvalidData July 2019 Data Quality Report Ch 1 SITE 0612 PSG Tech Project: New Project Location: Peelamedu, Coimbatore Elevation: NRG #40 Anem. m/s Height: 50 m Serial #: SN:53009 Data is of this type Data is of another type Good Data 98.92% Ice Data 0% Bad Sensor 0% Invalid Data 0% Site Information: Sensor on channel 1: Percent data by type: Generated 05 August 2019 NRG Systems SDR Version 7.08 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1418SE71 CLASS. ME: ENERGY
  • 15. Frequency Distribution • Total 10 minute intervals: 4464 • Intervals used in calculation: 4412 Figure. 3 Frequency Distribution (July, 2019) July 2019 Frequency Distribution Ch 1 SITE 0612 PSG Tech Project: New Project Location: Peelamedu, Coimbatore Elevation: NRG #40 Anem. m/s Height: 50 m Serial #: SN:53009 Site Information: Sensor on channel 1: 4 8 12 16 20 24 28 32 36 40 0 5 10 15 20 25 30 35 40 45 Wind Speed in m/s Frequency Distribution RelativeFrequency% Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1518SE71 CLASS. ME: ENERGY
  • 16. Hourly Averages Figure.4 Variation of wind velocity (m/s) on hourly basis 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 5 10 15 20 25 30 35 40 45 50 55 July 2019 Hourly Averages Graph Ch 1 SITE 0612 PSG Tech Project: New Project Location: Peelamedu, Coimbatore Elevation: NRG #40 Anem. m/s Height: 50 m Serial #: SN:53009 Site Information: Sensor on channel 1: Average Value: 2.9 Days Average Hourly Values Valuesinm/s Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 AVG AVG Day Hour * * * * * * * * 1.1 2.0 3.0 4.1 5.9 5.7 6.4 6.3 6.3 6.0 4.3 3.5 2.9 3.0 2.4 1.8 4.2 2.4 2.7 2.5 2.4 1.9 1.8 2.2 1.8 2.7 3.3 3.7 3.5 4.5 3.7 3.6 4.1 3.5 4.2 2.7 2.1 2.9 2.4 2.1 3.3 2.9 3.5 3.1 2.7 2.1 2.3 2.6 2.0 2.7 2.0 2.3 3.6 4.3 4.2 5.4 4.5 4.5 5.1 4.4 4.5 3.7 3.1 3.7 2.5 2.0 3.4 2.0 2.4 2.6 2.3 2.5 2.0 1.4 1.8 2.5 3.6 3.7 3.0 3.6 5.1 5.6 4.1 4.3 5.0 3.8 3.3 3.0 2.1 2.1 2.5 3.1 2.2 2.3 2.0 2.1 2.2 2.0 2.9 3.3 3.0 3.0 3.7 4.1 5.1 5.6 5.2 4.1 4.6 3.5 3.9 3.4 2.0 2.2 1.4 1.8 3.1 2.2 2.6 2.1 1.9 1.9 1.2 1.9 1.5 2.4 2.9 3.0 3.1 3.5 5.7 4.6 3.8 3.3 4.5 4.6 3.2 3.3 1.6 1.2 2.0 2.8 2.5 3.2 2.3 3.4 2.5 1.5 2.0 2.7 3.3 3.9 4.3 4.8 5.5 4.0 4.2 4.4 5.4 4.9 5.0 4.7 3.4 3.1 3.6 4.0 3.7 3.0 2.4 3.1 2.1 2.7 3.9 2.2 2.7 3.1 3.3 4.3 5.7 6.2 6.0 6.6 5.5 5.4 4.1 3.3 2.9 3.0 2.0 2.1 2.2 3.7 2.1 1.8 1.4 1.5 2.1 2.4 1.2 2.2 2.2 2.9 3.1 3.9 4.6 5.1 4.4 4.4 4.8 3.6 2.4 2.6 3.1 3.1 2.0 2.0 2.9 3.1 2.4 2.0 3.0 1.8 1.5 0.8 1.1 1.9 2.5 3.0 3.7 4.8 4.6 3.7 3.6 4.5 3.2 3.3 3.9 2.1 2.2 2.9 2.6 2.8 2.3 3.1 1.7 2.9 2.5 2.8 3.0 1.9 0.8 1.1 1.6 2.8 2.7 2.7 3.7 4.2 4.2 2.9 1.6 1.7 1.8 1.4 1.3 1.6 2.3 1.0 1.3 1.1 1.1 1.3 0.5 0.5 0.9 0.6 1.3 2.8 2.6 2.3 2.6 3.1 3.2 3.2 3.5 3.0 2.5 2.5 2.4 2.1 2.5 2.0 2.2 2.1 1.5 1.4 1.4 1.3 1.1 0.6 1.0 1.4 1.7 2.3 2.4 3.3 3.3 4.0 3.8 3.6 2.7 2.9 2.3 2.4 2.1 1.7 2.2 2.0 1.6 1.6 2.2 2.2 1.3 0.7 0.9 1.4 2.2 3.1 2.5 3.2 4.1 4.4 4.5 4.0 3.4 3.1 2.8 2.7 2.7 2.6 2.3 2.6 2.3 1.8 2.2 2.4 1.7 1.6 1.5 1.7 1.4 2.4 3.0 2.6 4.1 4.4 4.0 4.2 4.2 4.2 3.2 2.6 2.6 2.2 2.3 2.3 2.7 1.8 2.6 2.0 2.3 1.9 2.2 1.8 1.7 2.3 1.9 2.2 3.1 3.1 3.6 3.3 3.7 4.1 3.8 2.8 3.4 2.8 3.0 2.6 2.7 2.7 2.1 1.8 2.0 1.7 1.4 1.9 2.1 1.3 1.8 2.6 2.5 3.0 3.8 3.2 3.0 3.4 3.4 3.3 2.7 2.0 2.2 2.6 2.4 1.5 2.4 1.7 1.8 2.2 1.8 2.0 1.5 1.7 2.2 1.9 1.8 2.1 2.8 1.9 2.4 2.1 3.0 3.6 2.9 3.0 2.6 2.4 2.5 2.1 1.8 2.2 2.5 2.4 2.7 2.1 2.3 2.4 2.2 2.4 2.2 2.8 3.0 3.2 3.8 3.9 3.6 3.5 3.3 3.3 2.9 2.9 3.2 3.2 4.6 2.9 3.0 2.8 2.5 1.5 3.3 2.6 3.2 2.6 2.5 2.6 3.4 3.9 4.7 6.4 6.2 5.7 6.1 5.4 5.3 4.4 3.4 2.9 2.8 3.2 2.5 3.8 2.5 3.1 2.6 2.1 2.3 2.5 2.3 2.6 2.7 3.0 3.3 3.5 4.5 6.0 6.0 5.9 4.6 3.2 3.1 3.7 3.0 2.6 3.1 2.5 3.4 2.4 2.3 1.4 1.7 1.6 2.2 3.8 1.7 2.7 3.6 3.6 4.9 4.0 4.1 4.2 4.3 3.9 4.2 2.8 2.9 2.9 1.6 1.4 1.6 2.9 1.5 1.2 1.1 1.4 2.4 2.3 1.7 1.5 2.0 2.3 2.7 3.2 3.4 3.7 4.0 4.2 3.8 4.3 3.1 3.1 2.9 1.9 2.3 1.9 2.6 1.8 2.3 2.3 2.0 1.6 1.2 1.3 1.5 2.8 2.7 2.2 1.7 3.8 4.1 4.0 3.8 3.8 3.7 3.5 3.2 3.1 2.6 2.2 2.9 2.7 2.3 2.0 2.1 1.9 1.8 2.0 2.2 1.5 1.7 2.2 2.3 2.4 3.0 3.4 3.8 4.1 4.1 3.7 2.9 2.5 2.4 2.5 2.2 2.8 2.6 2.1 2.0 2.2 2.1 2.2 1.9 2.4 2.0 1.3 2.1 2.5 3.6 3.8 3.1 3.4 3.3 3.7 4.1 2.8 1.9 1.8 1.6 2.5 1.1 2.5 1.2 2.1 1.6 1.5 0.6 0.6 1.1 1.6 1.5 1.8 2.5 3.0 3.5 3.4 4.3 4.5 3.9 3.6 3.3 2.7 2.8 2.6 3.1 2.6 2.5 3.1 2.5 2.9 2.7 2.1 2.5 1.7 1.7 1.8 2.6 3.9 4.9 6.0 6.2 5.9 6.0 5.8 4.9 4.3 3.9 3.4 2.0 3.4 2.4 3.6 2.8 2.3 2.0 2.2 2.3 1.5 1.6 2.2 2.0 2.3 3.5 4.2 4.9 5.9 5.7 6.0 6.0 5.5 4.1 3.7 3.6 2.9 2.2 2.0 3.4 2.0 2.2 2.1 1.4 1.3 1.5 1.7 1.4 1.4 2.1 1.8 2.2 3.6 3.5 4.4 4.8 4.5 3.9 2.9 2.3 2.4 2.1 2.1 2.2 2.5 2.1 1.8 2.0 1.5 1.4 0.9 1.8 1.7 1.9 2.7 3.0 3.4 4.0 4.6 4.2 3.8 3.8 3.7 3.5 2.6 2.0 1.7 1.8 1.9 2.6 2.3 2.3 2.0 2.1 2.0 1.9 1.8 1.8 2.0 2.5 3.0 3.4 4.1 4.4 4.3 4.4 4.3 4.0 3.3 3.0 2.7 2.4 2.4 2.2 2.9 July 2019 Hourly Averages Table Ch 1 SITE 0612 PSG Tech Project: New Project Location: Peelamedu, Coimbatore Elevation: NRG #40 Anem. m/s Height: 50 m Units: m/s Serial #: SN:53009 Site Information: Sensor on channel 1: Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1618SE71 CLASS. ME: ENERGY
  • 17. Wind Rose Figure. 5 Variation of wind velocity with directions .32 .32 .30 .34 .33 .32 N EW S July 2019 Wind Rose Ch 1, 7 SITE 0612 PSG Tech Percent of Total Wind Energy Percent of Total Time Outer Numbers are Average TIs Inner Circle = 0% Outer Circle = 60% Project: New Project Location: Peelamedu, Coimbatore Elevation: for speeds greater than 4.5 m/s NRG #40 Anem. m/s Height: 50 m Serial #: SN:53009 #200P Wind Vane Height: 050 m Serial #: SN:491 Site Information: Anemometer on channel 1: Vane on channel 7: Generated 05 August 2019 NRG Systems SDR Version 7.08Total 10-minute intervals: 4464 Intervals used in calculations: 4412 Percent data used: 98.8 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1718SE71 CLASS. ME: ENERGY
  • 18. Results... Month/Year Max. Wind Speed (m/s) Average Wind Speed (m/s) Jan/2019 4.9 1.7 Feb/2019 3.3 1 Mar/2019 3.6 1.7 Apr/2019 3.7 1.4 May/2019 3.9 1.7 Jun/2019 2.9 1.6 Jul/2019 3.7 1.8 Aug/2019 6.6 2.9 Sept/2019 6.1 2.5 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1818SE71 CLASS. ME: ENERGY Table. 4 Recorded Wind Speeds at the Site (PSGCT)
  • 19. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 1918SE71 CLASS. ME: ENERGY Figure. 6 Variation of wind velocity (m/s) on hourly basis: Avg. Wind Profile - 10th July 0030 to 11th July 0020
  • 20. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2018SE71 CLASS. ME: ENERGY Figure.7 Wind Frequency Distribution on for July, 2019 Series1 0 0 3 2 5 6 3 5 5 7 11 7 8 6 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 0 0 3 2 5 6 3 5 5 7 11 7 8 6 y = -0.0064x3 + 0.0929x2 + 0.4659x - 0.3676 R2 = 0.7496 0 2 4 6 8 10 12 Ocuurance Bin (0.2 m/s) Frequency Distribution
  • 21. Inverse Design Approach • The geometry is generated by a targetted difference in pressure coefficient values. • Step_1: Developing the Governing Equation • Step_2: Solving the Differential equation • Step_3: Applying the Boundary Condtions to get the constants COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2118SE71 CLASS. ME: ENERGY
  • 22. Problem Formulation Approach1: • Inverse Boundary Layer Method to find Velocity Distribution that creates the desired Boundary Layer. • The resulting velocity distribution is then used as input to a potential-flow inverse airfoil method that provides the corresponding airfoil shape. Demerits: • Single - Point - Post Analysis rectification is necessary. • Inverse Boundary equations are difficult to be obtained. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2218SE71 CLASS. ME: ENERGY
  • 23. Problem Formulation... Approach2: • In an interactive and iterative fashion, all of the design goals are achieved by carefully adjusting the velocity distribution provided as input to the inverse method. • Based on feedback from successive analyses and with some experience, velocity distribution may be changed in the direction necessary to bring the airfoil closer to the desired goals. • The method uses conformal mapping to transform the flow about the circle into that about an airfoil. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2318SE71 CLASS. ME: ENERGY
  • 24. Kutta - Joukowski Transformation • For Z, Real Part: (1) • Imaginary Part: (2) COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2418SE71 CLASS. ME: ENERGY         22 22 1            22 22 1   
  • 25. Joukowski Transformation... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2518SE71 CLASS. ME: ENERGY -1 -0.5 0 0.5 1 1.5 2 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 ImaginaryAxis Real axis Joukowski Transform circle foil_transform Figure.8 Joukowski transformation of circle to airfoil
  • 26. Creation of Control Points COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2618SE71 CLASS. ME: ENERGY Figure.8 Potential Flow over unit circle
  • 27. Setting up the Velocity Distribution At third and fourth segments at Îą = 5o plotted as a function of a) arc limit of circle b) arc length of airfoil c) shape function H12 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2718SE71 CLASS. ME: ENERGY Figure.9 Definition of velocity distributions imposed over unit circle
  • 28. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2818SE71 CLASS. ME: ENERGY Figure.10 XFLR5_6.5o Cp plot
  • 29. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 2918SE71 CLASS. ME: ENERGY Figure.11 Spline Setting and Airfoil Design
  • 30. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3018SE71 CLASS. ME: ENERGY Figure.12 ModifiedAirfoil cp at 6.5o
  • 31. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3118SE71 CLASS. ME: ENERGY Figure.13 Airfoil Characteristics at Various Angles of Attack
  • 32. Definition of Geometry COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3218SE71 CLASS. ME: ENERGY Figure.14 Geometry for 2D - Foil Analysis
  • 33. Definition of Meshing COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3318SE71 CLASS. ME: ENERGY Figure.15 Meshing for 2D - Foil Analysis
  • 34. Governing Equations - Solver Physics COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3418SE71 CLASS. ME: ENERGY
  • 35. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3518SE71 CLASS. ME: ENERGY Figure.16 Airfoil pressure distribution at Îą =10o
  • 36. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3618SE71 CLASS. ME: ENERGY Figure.17 Histogram - static pressure distribution
  • 37. The Strouhal Number represents a measure of the ratio of the inertial forces due to the u n s t e a d i n e s s o f t h e f l o w o r l o c a l acceleration to the inertial forces due to changes in velocity from one point to an other in the flow field. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3718SE71 CLASS. ME: ENERGY Results... Figure.18 FFT - lift force diagram
  • 38. The Strouhal Number represents a measure of the ratio of the inertial forces due to the u n s t e a d i n e s s o f t h e f l o w o r l o c a l acceleration to the inertial forces due to changes in velocity from one point to an other in the flow field. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3818SE71 CLASS. ME: ENERGY Results... Figure.18 FFT - lift force diagram
  • 39. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 3918SE71 CLASS. ME: ENERGY Results... Figure.19 2d foil - re: 200,000 characteristics 0.24 0.30 1.16 1.61 1.83 1.79 1.62 0.10 0.07 0.04 0.05 0.08 0.14 0.24 0 0.25 1.25 1.7 2.1 2.3 2.1 0 0.5 1 1.5 2 2.5 -15 -10 -5 0 5 10 15 20 25 ClandCdValues Angle of Attack Cl and Cd Vs Alpha - airfoil (Re: 2e5) Cl Vs Alpha Cd vs Alpha Actual Cl Vs AOA
  • 40. Results... Angle of Attack Drag (N) Lift (N) Cd Cl -10 1.6959628 4.0752361 0.099641216 0.2394283 -5 1.1879306 5.1738681 0.069796334 0.30397513 0 0.70006019 19.754193 0.041129941 1.1605985 5 0.93128281 27.440524 0.054714734 1.6121858 10 1.4360859 31.227365 0.084372926 1.8348835 15 2.4394 30.4701 0.14332 1.7902 20 4.0106 27.499 0.2356 1.6156 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4018SE71 CLASS. ME: ENERGY Table.5 2d foil - re: 200,000 characteristics
  • 41. Results... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4118SE71 CLASS. ME: ENERGY Table.6 2d foil - Error Table Angle of Attack Cl actual Cl experimental Error -10 0.24 0.1 0.14 -5 0.30 0.25 0.05 0 1.16 1.25 -0.09 5 1.61 1.7 -0.09 10 2.1 1.83 -0.27 15 2.3 1.79 -0.51 20 2.1 1.62 -0.48
  • 42. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4218SE71 CLASS. ME: ENERGY Results... Figure.20 2d foil - re: 200,000 characteristics - flow encapsulation 0.43 0.93 1.39 1.81 2.12 2.04 1.50 -0.45 -0.16 0.10 0.32 0.50 0.68 0.79 0.07 0.04 0.05 0.07 0.11 0.17 0.25 0.18 0.11 0.10 0.12 0.17 0.26 0.37 -1 -0.5 0 0.5 1 1.5 2 2.5 -15 -10 -5 0 5 10 15 20 25 Cl,Cd Angle of Attack S_1223 : 2 foils translated by (25,25)mm cl_b1 vs aoa cl_b2 vs aoa cd_b1 vs aoa cd_b2 vs aoa
  • 43. Results... Angle of Attack Cd - B1 Cd - B2 Drag - B1 (N) Drag - B2 (N) Cl - B1 Cl - B2 Lift - B1 (N) Lift - B2 (N) -10 0.067099391 0.17628517 1.1420783 3.0004961 0.42639032 -0.45143836 7.2574598 -7.6837948 -5 0.036646459 0.11402485 0.62374822 1.9407823 0.92731378 -0.16291905 15.783525 -2.7729955 0 0.045425961 0.09974258 0.77318144 1.6976881 1.3938489 0.10113547 23.724278 1.7213961 5 0.071034771 0.12080039 1.2090612 2.0561164 1.8115776 0.31896256 30.834311 5.4289645 10 0.11250632 0.1680308 1.9149358 2.8600011 2.1197935 0.5014316 36.08036 8.5347145 15 0.16867 0.25516 2.8709 4.3429 2.0403 0.68272 34.727 11.62 20 0.24605987 0.37315456 4.18811 6.3513502 1.5036067 0.79312064 25.592432 13.499465 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4318SE71 CLASS. ME: ENERGY Table.7 2d foil - re: 200,000 characteristics for encapsulation
  • 44. Results (Post)... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4418SE71 CLASS. ME: ENERGY Figure.21 2d foil - re: 200,000 - streamlines of flow
  • 45. Results (Post)... COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4518SE71 CLASS. ME: ENERGY Figure.22 2d foil - pressure and velocity profiles in flow domain
  • 46. Blade Design COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4618SE71 CLASS. ME: ENERGY Figure. 23 Geometry for 3d blade analysis
  • 47. Definition of Geometry COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4718SE71 CLASS. ME: ENERGY Figure. 24 Design modeler developed 3d flow domain Inner (Rotating Domain) Blade Outer (Enclosure)
  • 48. Definition of Flow Domain Table. 8 Turbine Domain Considerations Geometry root (mm) tip (mm) chord 50 25 thickness 6 3 hub radius 125 blade length 400 inner domain diameter 1200 offset from blade 100 (front); 1000 (rear) outer domain dimensions (cushion - x,y,z) 100, 500, 100 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4818SE71 CLASS. ME: ENERGY
  • 49. Definition of Meshing COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 4918SE71 CLASS. ME: ENERGY Figure. 25 Meshing for 3d blade analysis
  • 50. Solver - Physics Table. 9 Fluent physics setup for 3d dynamic meshing Setup Brief Note Time Transient Model k - epsilon (realisable) - enhanced wall treatment Boundary Conditions Inlet - Velocity (magnitude and direction) Outlet - Pressure outlet (101325 Pa) Dynamic Meshing 6 DOF Created Blade - Rigid Body (Not passive) Inner Domain - Rigid Body (Passive) Outer Domain - Deforming Body DOF Properties Mass - 0.344498 kg (Material - Wood) Rotation about Y - Axis Only Moment of Inertia - 0.01708911 kg-m2 COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5018SE71 CLASS. ME: ENERGY
  • 51. Results (Post)… (8-10;1-2s) COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5118SE71 CLASS. ME: ENERGY Figure. 26 Rotational behavior of wind turbine
  • 52. Results (Post)… Inlet Velocity (m/s) RPM of Turbine 3 6.0375 5 14.083 10 26.988 15 70.348 Table. 10 Speed of Rotation (rpm) @ T = 0 to 100 s COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5218SE71 CLASS. ME: ENERGY
  • 53. Blade Material • Section: Rectangular, Designed Foil • Material: Wood, CFRP Properties of Wood: (Preliminary Testing) density: 0.00074 g/mm3 ultimate strength: 5301000 Pa COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5318SE71 CLASS. ME: ENERGY
  • 54. Blade Design - Geometry COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5418SE71 CLASS. ME: ENERGY Figure. 27 Rotational behavior of wind turbine
  • 55. Conclusions COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5518SE71 CLASS. ME: ENERGY Ø The observed weighted mean averaged wind speed at the site form Jan - Sept, 2019 at PSGCT Campus is 1.8 m/s with 70% wind relative to 36o NW winds. ØThe airfoil subjected to numerical analysis gives Clmax = 1.83. This foil is subjected for 3D analysis. ØThe scope is to simulate the dynamic behavior of wind turbine based on the airfoil generated through inverse design and is implemented successfully.
  • 56. Scope of the Project COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5618SE71 CLASS. ME: ENERGY ØThe scope of the project is to experimentally test the blades and completely develop the mathematical distribution of velocity over the profile and generate a design for airfoil.
  • 57. References… [1] K.S.R. Murthy, O.P. Rahi, A comprehensive review of wind resource assessment, Renewable and Sustainable Energy Reviews, Volume 72, 2017, Pages 1320-1342, ISSN 1364-0321, https://doi.org/10.1016/j.rser.2016.10.038. [2] C. Balakrishna Moorthy, M.K. Deshmukh, Wind Resource Assessment Using Computer Simulation Tool: A Case Study, Energy Procedia, Volume 100, 2016, Pages 141-148, ISSN 1876-6102, https://doi.org/10.1016/j.egypro.2016.10.156. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5718SE71 CLASS. ME: ENERGY
  • 58. References… [3] Jianzhou Wang, Xiaojia Huang, Qiwei Li, Xuejiao Ma, Comparison of seven methods for determining the optimal statistical distribution parameters: A case study of wind energy assessment in the large-scale wind farms of China, Energy, 2018. [4] Mehmet BakÄąrcÄą, Sezayi YÄąlmaz, Theoretical and computational investigations of the optimal tip-speed ratio of horizontal-axis wind turbines, Engineering Science and Technology, an International Journal, Volume 21, Issue 6, 2018, Pages 1128-1142, ISSN 2215-0986, https://doi.org/10.1016/j.jestch.2018.05.006. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5818SE71 CLASS. ME: ENERGY
  • 59. References… [5] An inverse approach for airfoil design M. T. Rahmati, G. A. Aggidis & M. Zangeneh, Lancaster University, Engineering Department, UK, University College London, Mechanical Engineering Department, UK, Volume 30, No. 11, November 1992, AIAA. [6] Generalized Multipoint Inverse Airfoil Design, Selig and Maughmer, Pennsylvania State University, Volume 32, No. 4, April 1994, AIAA. [7] Fourier Series Solution for Inverse Design of Aerodynamic Shapes, GS Dulikravich, DP Baker, Penn State University, USA, Inverse Problems in Engineering Mechanics, 1998, Elsevier. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 5918SE71 CLASS. ME: ENERGY
  • 60. References… i. Low Speed Wind Turbine Design, Horizon Gitano – Briggs, http://dx.doi.org/10.5772/53141 ii. Guide to manufacturing and modelling of composite wind turbine blades, Cornell university, MAE 4021 project guide. iii. Wind turbine blade design, Calvin Phelps, John Singleton, Cornell university. COURSE CODE. PAGE Project Work - Phase I Department of Mechanical Engineering 6018SE71 CLASS. ME: ENERGY