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Int. J. Mech. Eng. Res. & Tech 2019
ISSN 2454 – 535X www.ijmert.com
Vol. 11, Issue. 1, Jan 2019
COMPUTATIONAL FLUID ANALYSIS OFDIFFERENT
AIRFOIL SHAPES
Mr. M. Vijaya Kumar, Mr.G Balakrishna Reddy,
Mr.K. Satya Vara Prasad, Ms. D.Mahalakshmi
Abstract
This project aims to investigate the design of air foils and determine the flow parameters, as well as the
lift and drag forces acting on various air foils such as NACA-0012, 495 and 540, under different
viscosity conditions. Air foils are a critical component of aircraft, including passenger planes, jet
planes, and helicopters. They play a significant role in determining whether the lift force is sufficient
to support the weight of the aircraft and the amount of drag force applied to the aircraft. This project
employs three different profile shapes of air foil, including symmetric and asymmetrical designs, to
analyse their lift and drag coefficients and their impact on the airfoil's performance.
Keyword: Computational fluid dynamics (CFD), airfoil, aerodynamic coefficients, lift, drag,
turbulence models, transition point.
Introduction
The aerodynamic performance of an airfoil is
a key factor in the design of many aerospace
systems. Airfoils are used in a wide range of
applications, from aircraft wings to wind
turbines. The NACA 0012 airfoil has been
widely used in many applications due to its
simple design and predictable performance
characteristics. However, as new technologies
and design methods have been developed,
modified airfoil shapes have emerged that
may offer improved performance. In this
project, we will compare the aerodynamic
performance of the NACA 0012 airfoil with
modified versions of the NACA 4-digit series
airfoils, specifically the ISRO 405 and ISRO
540 airfoils. These airfoils were developed by
the Indian Space Research Organization
(ISRO) and have been used in various
aerospace applications. The main objective of
this project is to determine which airfoil shape
provides the best overall performance in terms
of lift, drag, and stall characteristics.
Computational Fluid Dynamics (CFD) will be
used to simulate the flow over the airfoils and
analyze their performance. Specifically,
pressure and velocity analysis will be
conducted to determine the lift and drag
characteristics of each airfoil shape. The
results of this study will provide insight into
the relative performance of different airfoil
shapes and may inform the design of future
aerospace systems. This project also aims to
contribute to the existing body of knowledge
on airfoil performance and help engineers
make informed decisions when selecting
airfoils for specific applications.
Department of Mechanical Engineering, Pragati Engineering College (Autonomous),
Surampalem, India
Statement of the Problem
The main problem that this project aims to
address is the need for improved aerodynamic
performance in aerospace systems that rely on
airfoils. While the NACA 0012 airfoil has
been widely used and is well understood, there
is a possibility that modified airfoil shapes,
such as the ISRO 405 and ISRO 540, could
offer improved performance characteristics.
However, the relative performance of these
airfoils has not been thoroughly investigated,
and a clear understanding of their strengths
and weaknesses is needed. To address this
problem, this project will conduct a
comprehensive analysis of the aerodynamic
performance of the NACA 0012 airfoil and
the modified ISRO 405 and ISRO 540 airfoils.
By analysing pressure and velocity data using
CFD simulations, we will compare the lift,
drag,
and stall characteristics of each airfoil shape to
determine which airfoil performs best overall.
This project aims to provide insight into the
relative performance of different airfoil shapes
and inform the selection of airfoils for specific
aerospace applications. By addressing the
problem of aerodynamic performance in
airfoil design, this project has the potential to
contribute to the development of more
efficient and effective aerospace systems.
Objectives of the study
οƒ˜ To compare the aerodynamic
performance of the NACA 0012 airfoil
with modified versions of the NACA 4-
digit series airfoils, specifically the ISRO
405 and ISRO 540 air foils.
οƒ˜ To analyze the pressure and velocity
data obtained from CFD simulations to
determine the lift, drag, and stall
characteristics of each airfoil shape.
οƒ˜ To contribute to the existing body of
knowledge on airfoil performance and
inform the design of more efficient and
effective aerospace systems.
Review of Literature
Abbott IH and Von Doenhoff AE [1] The prime
reason for the appearance in the Dover series of this
eleven-year-old book lies in the compilation of data
it contains on the geometry and subsonic
aerodynamic characteristics of NACA wing sections.
Bacha WA and Ghaly WS [2] When simulating the
flow over airfoils at low Reynolds numbers,
transition from laminar to turbulent flow plays an
important role in determining the flow features and
in qualifying the airfoil performance such as lift and
drag. Badran O [3] (2008).A large difference in the
pressure coefficient is observed between the top and
bottom surface in the case of lower Reynolds number
and thus it indicates that at low Reynolds number
high lift is generated than at high Reynolds number.
L/D study also reveals that with increasing Reynolds
number the NACA0012 aerofoil losses its lifting
aerodynamics property.The results discussed in the
present study indicate that proper transition point
prediction is crucial, especially when considering the
drag characteristics. Johansen J [4] The computations
of the NACA0012 airfoil 20 Ris0-R-987(EN) at high
Reynolds number show a minor effect on the lift
prediction while the drag characteristics are more
influenced. Launder BE and Spalding DB [5] The
experimental results of the water surface profile gave
a high agreement with the results of the numerical
models. The maximum value 28.78 of E% was
obtained in single step broad crested weir in the
experimental result and 27.35 in numerical result at S
= 0.004. Finally, the range of the relative error of the
energy dissipation between experimental and
numerical results was achieved and the maximum
was 6.76 in all runs. Ma L, et al. [6] When the attack
angle changed from -8Β° to 13Β°, steady numerical
methods could be applied to predict the aerodynamic
performance of airfoil, the lift and drag coefficient
curve of four turbulence models had consistent
movements and shapes with the experimental curve.
The lift coefficient curves of four turbulence models
were much closer with the experimental data, while
drag coefficient curves differed largely with the
experimental data. McCroskey WJ [7] Aerodynamic
results a seldom duplicated in different facilities to
the level of accuracy that is required either for risk-
fne engineering development or for the true
verification of theoretical and numerical methods.
Menter FR [8] (1994)The SST two equation
turbulence model was introduced in 1994 by F.R.
Menter to deal with the strong freestream sensitivity
of the k-omega turbulence model and improve the
predictions of adverse pressure gradients
. The formulation of the SST model is based
on physical experiments and attempts to
predict solutions to typical engineering
problems. Silisteanu PD and Botez RM [9]
there is a current need for a simple and
effective way for determining the transition
onset and transition extent on a solid surface
in a general CFD solver, in order to include
the transition effects in the aerodynamic
coefficients’ calculation. Spalart PR and
Allmaras SR [10] (1992) Menter also reported
somewhat disappointing results over a
backward-facing step, traced to an
excessively-rapid build-up of the shear stress
(personal communication).Wilcox DC
[11] The ZLES method and laminar
simulation most accurately match
experimental lateral-average adiabatic
effectiveness along the streamwise direction
from the trailing edge of the hole to 35-hole
diameters downstream of the hole (X/D = 0 to
X/D = 35), with RMS deviations of 5.1% and
4.2%, and maximum deviations of 8% and
11%, respectively.
Research Methodology
The research methodology for this project
involves subjecting 2D models of the NACA
0012 airfoil, ISRO 405 and ISRO 540
modified versions of the NACA 4-digit series
airfoils, to the viscous model and k-epsilon
turbulence model.
To compare the performance of each
airfoil shape, lift and drag forces, pressure and
velocity distributions, and turbulent kinetic
energy (TKE) distributions will be analyzed
using CFD simulations. These simulations
will be performed using commercial software
such as ANSYS Fluent, which is commonly
used in the aerospace industry for
aerodynamic analysis. The procedure outline
is illustrated in graph 1.
G
r
a
p
h
1
:
P
r
o
c
e
s
s
F
l
o
w
The lift and drag forces will be calculated
using the simulation results, and the stall
characteristics of each airfoil will be analyzed.
Furthermore, the pressure and velocity
distributions around the airfoil will be
analyzed to gain insights into the flow
behaviour and the separation point. The TKE
distribution analysis will provide an indication
of the level of turbulence near the airfoil and
its impact on performance.
Overall, this research methodology
aims to provide a comprehensive analysis of
the aerodynamic performance of each airfoil
shape by comparing their lift and drag forces,
pressure and velocity distributions, and
turbulent kinetic energy distributions. By
applying these techniques, this project aims to
provide valuable insights into the relative
strengths and weaknesses of each airfoil
shape, which can be used to improve the
design of aerospace systems.
Results &Discussion:
The ANSYS Tool CFD-Post results are shown
in Figures [1-9]. These figures depict the
Pressure Distribution, Velocity distribution,
Turbulence Kinetic Energy Distribution, Lift
and Drag Forces. The analysis was performed
subjecting these airfoils to viscous model and
the above-mentioned parameters are produced
in CFD-Post.
Fig 1- Velocity Distribution of NACA 0012 Fig 2- Pressure Distribution of NACA 0012
Fig 3 TKE Distribution of NACA 0012 Fig 4 Velocity Distribution of ISRO 400
Fig 5 Pressure Distribution of ISRO 400 Fig 6 TKE Distribution Of ISRO 400
Velocity(m/s)
Pressure()Pa
Fig 7 Velocity Distribution of ISRO 500 Fig 8 Pressure Distribution of ISRO 500
Fig 9 TKE Distribution of ISRO 500
RESULTS:
The ANSYS Fluent analysis provides data on velocity, pressure, turbulent kinetic energy, lift and drag
forces for each airfoil shape. To illustrate the performance of each airfoil, graphs are generated that
show the distribution of these parameters across the airfoil surface. These graphs(1-5) provide valuable
insights into the relative strengths and weaknesses of each airfoil shape..
Velocity Pressure
460 140500
440 140000
420
400
139500
380 139000
360 138500
NACA 0012 ISRO 400 ISRO 500 NACA 0012 ISRO 400 ISRO 500
Airfoil Airfoils
Graph :1 Velocity Comparision Graph :2 PressureComparision
Drag Force
100
80
60
40
20
0
NACA 0012 ISRO 400
Airfoil
ISRO 500
ISRO 500
ISRO 400
Airfoil
NACA 0012
1500
1400
1300
1200
1100
Turbulent Kinetic Energy
Graph :3TKEComparision Graph :4Drag Force Comparision
Graph :5 Lift Force Comparision
CONCLUSION:
In conclusion, the ANSYS Fluent analysis
revealed that the 500 series airfoil
outperformed both the NACA0012 and 400
series airfoils in terms of lift, turbulent kinetic
energy, drag and velocity. The 400 series
airfoil performed better than NACA0012 in
terms of lift, but not as well as the 500 series
airfoil. However, the 400 series airfoil had
worse turbulent kinetic energy than both the
NACA0012 and 500series airfoils.
Further analysis is required to
determine the performance of these airfoils at
different angles of attack, as well as to
investigate their stall properties. Nonetheless,
the current study provides valuable insights
into the relative performance of these airfoil
shapes, which can be used to inform the
design of aerospace systems.
REFERENCE:
1. Abbott IH, Von Doenhoff AE (1959).
Theory of Wing Sections. Dover
Publishing, New York.
2. Bacha WA, Ghaly WS (2006). Drag
Prediction in Transitional Flow over
Two-Dimensional Airfoils, Proceedings
of the 44th AIAA Aerospace Sciences
Meeting and Exhibit, Reno, NV.
3. Badran O (2008). Formulation of Two-
Equation Turbulence Models for
Turbulent Flow over a NACA 4412
Airfoil at Angle of Attack 15 Degree, 6th
International Colloquium on Bluff Bodies
Aerodynamics and Applications, Milano,
20-24 July.
4. Johansen J (1997). Prediction of
Laminar/Turbulent Transition in Airfoil
Flows. RisΓΈ National Laboratory,
Roskilde, Denmark.
5. Launder BE, Spalding DB (1974). The
numerical computation of turbulent flows.
Comp. Meth. Appl. Mechanics Engr., 3:
269-89.
6. Ma L, Chen J, Du G, Cao R (2010).
Numerical simulation of aerodynamic
performance for wind turbine airfoils.
Taiyangneng Xuebao/Acta Energiae
Solaris Sinica, 31: 203-209.
Lift Force
800
600
400
200
0
NACA 0012 ISRO 400
Airfoils
ISRO 500
TKE
(m2/s2)
Lift
Force
(Newtons)
Drag
(Newtons)
7. McCroskey WJ (1987). A Critical
Assessment of Wind Tunnel Results for
the NACA 0012 Airfoil. U.S. Army
Aviation Research and Technology
Activity, Nasa Technical Memorandum,
42: 285-330.
8. Menter FR (1994). Two-Equation Eddy-
Viscosity Turbulence Models for
Engineering Applications. AIAA J., 32:
1598-1605. Shih TH, Liou WW, Shabbir
A, Zhu J (1995). A new k-Ξ΅ eddy –
viscosity model for high Reynolds
number turbulent flows – model
development and validation. Computers
Fluids, 24: 227-238.
9. Silisteanu PD, Botez RM (2010).
Transition flow occurrence estimation
new method. 48th AIAA Aerospace
Science Meeting. Orlando, Floride, Etats-
Unis, Janvier, pp. 7-10
10. Spalart, PR, Allmaras SR (1992). A One-
Equation Turbulence Model for
Aerodynamic Flows. AIAA Paper, pp.
92-439. Sutherland W (1893). The
viscosity of gases and molecular force.
Philosophical Magazine, S., 5, 36: 507-
531.
11. Wilcox DC (1988). Re-assessment of the
scale-determining equation for advanced
turbulence models. AIAA J., 26: 1414-
1421.

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  • 1.
  • 2. Int. J. Mech. Eng. Res. & Tech 2019 ISSN 2454 – 535X www.ijmert.com Vol. 11, Issue. 1, Jan 2019 COMPUTATIONAL FLUID ANALYSIS OFDIFFERENT AIRFOIL SHAPES Mr. M. Vijaya Kumar, Mr.G Balakrishna Reddy, Mr.K. Satya Vara Prasad, Ms. D.Mahalakshmi Abstract This project aims to investigate the design of air foils and determine the flow parameters, as well as the lift and drag forces acting on various air foils such as NACA-0012, 495 and 540, under different viscosity conditions. Air foils are a critical component of aircraft, including passenger planes, jet planes, and helicopters. They play a significant role in determining whether the lift force is sufficient to support the weight of the aircraft and the amount of drag force applied to the aircraft. This project employs three different profile shapes of air foil, including symmetric and asymmetrical designs, to analyse their lift and drag coefficients and their impact on the airfoil's performance. Keyword: Computational fluid dynamics (CFD), airfoil, aerodynamic coefficients, lift, drag, turbulence models, transition point. Introduction The aerodynamic performance of an airfoil is a key factor in the design of many aerospace systems. Airfoils are used in a wide range of applications, from aircraft wings to wind turbines. The NACA 0012 airfoil has been widely used in many applications due to its simple design and predictable performance characteristics. However, as new technologies and design methods have been developed, modified airfoil shapes have emerged that may offer improved performance. In this project, we will compare the aerodynamic performance of the NACA 0012 airfoil with modified versions of the NACA 4-digit series airfoils, specifically the ISRO 405 and ISRO 540 airfoils. These airfoils were developed by the Indian Space Research Organization (ISRO) and have been used in various aerospace applications. The main objective of this project is to determine which airfoil shape provides the best overall performance in terms of lift, drag, and stall characteristics. Computational Fluid Dynamics (CFD) will be used to simulate the flow over the airfoils and analyze their performance. Specifically, pressure and velocity analysis will be conducted to determine the lift and drag characteristics of each airfoil shape. The results of this study will provide insight into the relative performance of different airfoil shapes and may inform the design of future aerospace systems. This project also aims to contribute to the existing body of knowledge on airfoil performance and help engineers make informed decisions when selecting airfoils for specific applications. Department of Mechanical Engineering, Pragati Engineering College (Autonomous), Surampalem, India
  • 3. Statement of the Problem The main problem that this project aims to address is the need for improved aerodynamic performance in aerospace systems that rely on airfoils. While the NACA 0012 airfoil has been widely used and is well understood, there is a possibility that modified airfoil shapes, such as the ISRO 405 and ISRO 540, could offer improved performance characteristics. However, the relative performance of these airfoils has not been thoroughly investigated, and a clear understanding of their strengths and weaknesses is needed. To address this problem, this project will conduct a comprehensive analysis of the aerodynamic performance of the NACA 0012 airfoil and the modified ISRO 405 and ISRO 540 airfoils. By analysing pressure and velocity data using CFD simulations, we will compare the lift, drag, and stall characteristics of each airfoil shape to determine which airfoil performs best overall. This project aims to provide insight into the relative performance of different airfoil shapes and inform the selection of airfoils for specific aerospace applications. By addressing the problem of aerodynamic performance in airfoil design, this project has the potential to contribute to the development of more efficient and effective aerospace systems. Objectives of the study οƒ˜ To compare the aerodynamic performance of the NACA 0012 airfoil with modified versions of the NACA 4- digit series airfoils, specifically the ISRO 405 and ISRO 540 air foils. οƒ˜ To analyze the pressure and velocity data obtained from CFD simulations to determine the lift, drag, and stall characteristics of each airfoil shape. οƒ˜ To contribute to the existing body of knowledge on airfoil performance and inform the design of more efficient and effective aerospace systems. Review of Literature Abbott IH and Von Doenhoff AE [1] The prime reason for the appearance in the Dover series of this eleven-year-old book lies in the compilation of data it contains on the geometry and subsonic aerodynamic characteristics of NACA wing sections. Bacha WA and Ghaly WS [2] When simulating the flow over airfoils at low Reynolds numbers, transition from laminar to turbulent flow plays an important role in determining the flow features and in qualifying the airfoil performance such as lift and drag. Badran O [3] (2008).A large difference in the pressure coefficient is observed between the top and bottom surface in the case of lower Reynolds number and thus it indicates that at low Reynolds number high lift is generated than at high Reynolds number. L/D study also reveals that with increasing Reynolds number the NACA0012 aerofoil losses its lifting aerodynamics property.The results discussed in the present study indicate that proper transition point prediction is crucial, especially when considering the drag characteristics. Johansen J [4] The computations of the NACA0012 airfoil 20 Ris0-R-987(EN) at high Reynolds number show a minor effect on the lift prediction while the drag characteristics are more influenced. Launder BE and Spalding DB [5] The experimental results of the water surface profile gave a high agreement with the results of the numerical models. The maximum value 28.78 of E% was obtained in single step broad crested weir in the experimental result and 27.35 in numerical result at S = 0.004. Finally, the range of the relative error of the energy dissipation between experimental and numerical results was achieved and the maximum was 6.76 in all runs. Ma L, et al. [6] When the attack angle changed from -8Β° to 13Β°, steady numerical methods could be applied to predict the aerodynamic performance of airfoil, the lift and drag coefficient curve of four turbulence models had consistent movements and shapes with the experimental curve. The lift coefficient curves of four turbulence models were much closer with the experimental data, while drag coefficient curves differed largely with the experimental data. McCroskey WJ [7] Aerodynamic results a seldom duplicated in different facilities to the level of accuracy that is required either for risk- fne engineering development or for the true verification of theoretical and numerical methods. Menter FR [8] (1994)The SST two equation turbulence model was introduced in 1994 by F.R.
  • 4. Menter to deal with the strong freestream sensitivity of the k-omega turbulence model and improve the predictions of adverse pressure gradients
  • 5. . The formulation of the SST model is based on physical experiments and attempts to predict solutions to typical engineering problems. Silisteanu PD and Botez RM [9] there is a current need for a simple and effective way for determining the transition onset and transition extent on a solid surface in a general CFD solver, in order to include the transition effects in the aerodynamic coefficients’ calculation. Spalart PR and Allmaras SR [10] (1992) Menter also reported somewhat disappointing results over a backward-facing step, traced to an excessively-rapid build-up of the shear stress (personal communication).Wilcox DC [11] The ZLES method and laminar simulation most accurately match experimental lateral-average adiabatic effectiveness along the streamwise direction from the trailing edge of the hole to 35-hole diameters downstream of the hole (X/D = 0 to X/D = 35), with RMS deviations of 5.1% and 4.2%, and maximum deviations of 8% and 11%, respectively. Research Methodology The research methodology for this project involves subjecting 2D models of the NACA 0012 airfoil, ISRO 405 and ISRO 540 modified versions of the NACA 4-digit series airfoils, to the viscous model and k-epsilon turbulence model. To compare the performance of each airfoil shape, lift and drag forces, pressure and velocity distributions, and turbulent kinetic energy (TKE) distributions will be analyzed using CFD simulations. These simulations will be performed using commercial software such as ANSYS Fluent, which is commonly used in the aerospace industry for aerodynamic analysis. The procedure outline is illustrated in graph 1. G r a p h 1 : P r o c e s s F l o w The lift and drag forces will be calculated using the simulation results, and the stall characteristics of each airfoil will be analyzed. Furthermore, the pressure and velocity distributions around the airfoil will be analyzed to gain insights into the flow behaviour and the separation point. The TKE distribution analysis will provide an indication of the level of turbulence near the airfoil and its impact on performance. Overall, this research methodology aims to provide a comprehensive analysis of the aerodynamic performance of each airfoil shape by comparing their lift and drag forces, pressure and velocity distributions, and turbulent kinetic energy distributions. By applying these techniques, this project aims to provide valuable insights into the relative strengths and weaknesses of each airfoil shape, which can be used to improve the design of aerospace systems.
  • 6. Results &Discussion: The ANSYS Tool CFD-Post results are shown in Figures [1-9]. These figures depict the Pressure Distribution, Velocity distribution, Turbulence Kinetic Energy Distribution, Lift and Drag Forces. The analysis was performed subjecting these airfoils to viscous model and the above-mentioned parameters are produced in CFD-Post. Fig 1- Velocity Distribution of NACA 0012 Fig 2- Pressure Distribution of NACA 0012 Fig 3 TKE Distribution of NACA 0012 Fig 4 Velocity Distribution of ISRO 400 Fig 5 Pressure Distribution of ISRO 400 Fig 6 TKE Distribution Of ISRO 400
  • 7. Velocity(m/s) Pressure()Pa Fig 7 Velocity Distribution of ISRO 500 Fig 8 Pressure Distribution of ISRO 500 Fig 9 TKE Distribution of ISRO 500 RESULTS: The ANSYS Fluent analysis provides data on velocity, pressure, turbulent kinetic energy, lift and drag forces for each airfoil shape. To illustrate the performance of each airfoil, graphs are generated that show the distribution of these parameters across the airfoil surface. These graphs(1-5) provide valuable insights into the relative strengths and weaknesses of each airfoil shape.. Velocity Pressure 460 140500 440 140000 420 400 139500 380 139000 360 138500 NACA 0012 ISRO 400 ISRO 500 NACA 0012 ISRO 400 ISRO 500 Airfoil Airfoils Graph :1 Velocity Comparision Graph :2 PressureComparision
  • 8. Drag Force 100 80 60 40 20 0 NACA 0012 ISRO 400 Airfoil ISRO 500 ISRO 500 ISRO 400 Airfoil NACA 0012 1500 1400 1300 1200 1100 Turbulent Kinetic Energy Graph :3TKEComparision Graph :4Drag Force Comparision Graph :5 Lift Force Comparision CONCLUSION: In conclusion, the ANSYS Fluent analysis revealed that the 500 series airfoil outperformed both the NACA0012 and 400 series airfoils in terms of lift, turbulent kinetic energy, drag and velocity. The 400 series airfoil performed better than NACA0012 in terms of lift, but not as well as the 500 series airfoil. However, the 400 series airfoil had worse turbulent kinetic energy than both the NACA0012 and 500series airfoils. Further analysis is required to determine the performance of these airfoils at different angles of attack, as well as to investigate their stall properties. Nonetheless, the current study provides valuable insights into the relative performance of these airfoil shapes, which can be used to inform the design of aerospace systems. REFERENCE: 1. Abbott IH, Von Doenhoff AE (1959). Theory of Wing Sections. Dover Publishing, New York. 2. Bacha WA, Ghaly WS (2006). Drag Prediction in Transitional Flow over Two-Dimensional Airfoils, Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV. 3. Badran O (2008). Formulation of Two- Equation Turbulence Models for Turbulent Flow over a NACA 4412 Airfoil at Angle of Attack 15 Degree, 6th International Colloquium on Bluff Bodies Aerodynamics and Applications, Milano, 20-24 July. 4. Johansen J (1997). Prediction of Laminar/Turbulent Transition in Airfoil Flows. RisΓΈ National Laboratory, Roskilde, Denmark. 5. Launder BE, Spalding DB (1974). The numerical computation of turbulent flows. Comp. Meth. Appl. Mechanics Engr., 3: 269-89. 6. Ma L, Chen J, Du G, Cao R (2010). Numerical simulation of aerodynamic performance for wind turbine airfoils. Taiyangneng Xuebao/Acta Energiae Solaris Sinica, 31: 203-209. Lift Force 800 600 400 200 0 NACA 0012 ISRO 400 Airfoils ISRO 500 TKE (m2/s2) Lift Force (Newtons) Drag (Newtons)
  • 9. 7. McCroskey WJ (1987). A Critical Assessment of Wind Tunnel Results for the NACA 0012 Airfoil. U.S. Army Aviation Research and Technology Activity, Nasa Technical Memorandum, 42: 285-330. 8. Menter FR (1994). Two-Equation Eddy- Viscosity Turbulence Models for Engineering Applications. AIAA J., 32: 1598-1605. Shih TH, Liou WW, Shabbir A, Zhu J (1995). A new k-Ξ΅ eddy – viscosity model for high Reynolds number turbulent flows – model development and validation. Computers Fluids, 24: 227-238. 9. Silisteanu PD, Botez RM (2010). Transition flow occurrence estimation new method. 48th AIAA Aerospace Science Meeting. Orlando, Floride, Etats- Unis, Janvier, pp. 7-10 10. Spalart, PR, Allmaras SR (1992). A One- Equation Turbulence Model for Aerodynamic Flows. AIAA Paper, pp. 92-439. Sutherland W (1893). The viscosity of gases and molecular force. Philosophical Magazine, S., 5, 36: 507- 531. 11. Wilcox DC (1988). Re-assessment of the scale-determining equation for advanced turbulence models. AIAA J., 26: 1414- 1421.