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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 179
ANALYSIS OF AERODYNAMIC CHARACTERISTICS OF A
SUPERCRITICAL AIRFOIL FOR LOW SPEED AIRCRAFT
P.Sethunathan1
, M.Niventhran2
, V.Siva2
, R.Sadhan Kumar2
1
Asst.Professor, Department of Aeronautical Engineering, Paavaai Group of Institutions, Namakkal
2
UG Students, Department of Aeronautical Engineering, Paavaai Group of Institutions, Namakkal
Abstract
The main goal of the proposed paper is the analysis of aerodynamic characteristics of an various supercritical airfoils like 0406,
0412, 0706 and 1006 influence on the dramatic improvement in lift and reduction of drag in low speed aircraft. In a precedent
work, a cusp like structure at the trailing edge of an unsymmetrical airfoil produces a very high improvement in climbing
performance of an aircraft.
The computational analysis of aerodynamic characteristics of supercritical airfoil design and analysis by using ICEM- CFD. In
this work certain supercritical airfoils set on an ICEM- CFD without changing benchmark setup, in order to compare their
coefficient of lift ( CL ) and coefficient of drag ( CD ) at various angle of attack (α). The pressure distribution was measured to
verify global and local effects of airfoil structure. The test conducted in subsonic speed at flow velocity of 25m/s. The result shows
that certain supercritical airfoil (0406) configuration reduced the drag and improve coefficient of lift (CL) by 15-20% compared
with the baseline model.
Keywords: Supercritical airfoil, Lift Curve Slope, Coefficient of Lift, ICEM–CFD, Drag Reduction.
-------------------------------------------------------------------***-------------------------------------------------------------------
1. INTRODUCTION
1.1 Flow Past a Supercritical Airfoil
The flow over a finite wing is different from that of flow over
an airfoil. Transonic Jet aircrafts fly at speed of 0.8-0.9 Mach
number. At these speeds speed of air reaches speed of sound
somewhere over the wing and compressibility effects start to
show up. The free stream Mach number at which local sonic
velocities develop is called critical Mach number. It is
always better to increase the critical Mach number so that
formation of shockwaves can be delayed. This can be done
either by sweeping the wings but high sweep is not
recommended in passenger aircrafts as there is loss in lift in
subsonic speed and difficulties during constructions. So
engineers thought of developing an airfoil which can perform
this task without loss in lift and increase in drag. They
increased the thickness of the leading edge and made the
upper surface flat so that there is no formation of strong
shockwave and curved trailing edge lower surface which
increases the pressure at lower surface and accounts for lift.
1.2 Scope and Objective of the Present Work
In the present work, first of all we have analyzed the effect of
number of airfoils to reduce the drag. We computed flow
over the wing with different configurations of supercritical
airfoils.. The four configurations of models are airfoil (0406,
0412, 0706, and 1006) results have been compared to the
experimentally reported results from the literatures 0406 is
good performance for CL, CD, and Cp analyzed by ICEM-
CFD.
2. LITERATURE REVIEW
A concerted effort within the National Aeronautics and Space
Administration (NASA) during the 1960's and 1970's was
directed toward developing practical airfoils with two-
dimensional transonic turbulent flow and improved drag
divergence Mach numbers while retaining acceptable low-
speed maximum lift and stall characteristics and focused on a
concept referred to as the supercritical airfoil. This distinctive
airfoil shape, based on the concept of local supersonic flow
with isentropic recompression, was characterized by a large
leading-edge radius, reduced curvature over the middle
region of the upper surface, and substantial aft camber.
2.1 Effects of Trailing-Edge Thickness
The design philosophy of the supercritical airfoil required
that the trailing-edge slopes of the upper and lower surfaces
be equal. This requirement served to retard flow separation
by reducing the pressure recovery gradient on the upper
surface so that the pressure coefficients recovered to only
slightly positive values at the trailing edge. For an airfoil
with a sharp trailing edge, as was the case for early
supercritical airfoils, such restrictions resulted in the airfoil
being structurally thin over the aft region. Because of
structural problems associated with sharp trailing edges and
the potential aerodynamic advantages of thickened trailing
edges for transonic airfoils, an exploratory investigation was
made during the early development phases of the
supercritical airfoil to determine the effects on the
aerodynamic characteristics of thickening the trailing edge
shows that increasing the trailing-edge thickness of an
interim ill-percent-thick supercritical airfoil from 0 to 1.0
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 180
percent of the chord resulted in a significant decrease in wave
drag at transonic Mach numbers; however, this decrease was
achieved at the expense of higher drag at subcritical Mach
numbers.
3. COMPUTATIONAL MODELLING OF FLUID
FLOW
CFD is one of the branches of fluid mechanics that uses
numerical methods and algorithms to solve and analyze
problems that involve fluid flows. Computers are used to
perform the millions of calculations required to simulate the
interaction of fluids and gases with the complex surfaces
used in engineering. More accurate codes that can accurately
and quickly simulate even complex scenarios such as
supersonic or turbulent flows
4. SUPERCRITICAL AIRFOIL
NOMENCLATURE
 Wing configuration - SC (2) - 0406
 Wing configuration - SC (2) – 0412
 Wing configuration - SC (2) – 0706
 Wing configuration - SC (2) - 1006
 Wing length - 0.25 m
 Viscosity - 1.8310E-05
 Density - 1.125 kg/m3
5. NUMERICAL RESULTS AND GRAPHS
In order to ensure that the numerical simulation of steady
flow over airfoil at different orientations using ICEM-CFD is
properly carried out; a few benchmark test cases for
validation were simulated first.
5.1 Inviscid Flow over a Supercritical Airfoil
For the numerical simulation of flow over wing using
commercial package ICEM-CFD has been used to solve the
basic governing equations for velocities and other quantities.
Fig.1. Domain wall
The schematic representation of the computational domain
Structured grid in Cartesian coordinates is chosen, where x-
axis is along the free stream direction, y-axis is in the vertical
direction, z-axis is in the span wise direction. The solution is
started and allowed to converging and attains periodic nature.
Conditions for the Inviscid Model
 INLET CONDITION - INLET
 OUTLET CONDITON - OUTLET
 AIRFOIL SURFACE - WALL
 TOP AND BOTTOM SURFACE - WALL
 SOLVER - CFX
 MODEL - INVISCID
 TIME - STEADY FLOW
 DENSITY - 1.225 Kg/m3
5.2 Inviscid Flow over a Supercritical Airfoil (0406)
Meshing
Fig. 2 Meshing of supercritical airfoil 0406
The flow over a wing for Reynolds number 2,50,000 is
computed using ICEM-CFD simulating in supercritical
airfoil. The variation of lift coefficient Vs angle of attack
shown.Fig,7 As well as the variation of drag coefficient has
shown Vs angle of attack shown in Fig.8 and CL Vs CD in
Fig. 9 .
5.3 Comparison of Inviscid Flow Supercritical
Airfoil (0406, 0412, 0706, 1006) Meshing
Fig. 3 Meshing Of Supercritical Airfoil 0406
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 181
5.4 Analyzing Flow Velocity
Fig. 4.Velocity distribution over a Supercritical Airfoil 0406
5.5 Pressure
Fig. 5.Pressure distribution over a supercritical airfoil 0406
5.6 Streamline Velocity
Fig. 6 Stream line velocity of supercritical airfoil 0406
Table 1 SC (2) - 0406
AOA(α) CL CD
-5 -0.426 0.0084
-3 -0.197 0.0074
-1 0.033 0.0072
0 0.148 0.0069
1 0.263 0.0072
3 0.472 0.0078
5 0.561 0.0091
7 0.634 0.0107
9 0.692 0.0138
11 0.733 0.0175
13 0.758 0.0222
15 0.766 0.0278
16 0.763 0.0312
Table 2 SC (2) - 0412
AOA(α) CL CD
-5 -0.304 0.0083
-3 -0.065 0.0088
-1 0.174 0.0085
0 0.293 0.0084
1 0.412 0.0085
3 0.651 0.0091
5 0.83 0.0105
7 0.962 0.0123
9 1.062 0.0147
11 1.131 0.0177
13 1.169 0.0215
15 1.176 0.0258
16 1.168 0.0295
Table 3 SC (2) - 0706
AOA(α) CL CD
-5 -0.634 0.0088
-3 -0.381 0.0082
-1 -0.127 0.008
0 0 0.0078
1 0.127 0.008
3 0.381 0.0082
5 0.634 0.0087
7 0.851 0.0103
9 1.004 0.0126
11 1.104 0.0157
13 1.158 0.0247
15 1.172 0.0411
16 1.161 0.0535
Table 4 SC (2) – 1006
AOA(α) CL CD
-5 0.073 0.0075
-3 0.08 0.0075
-1 0.087 0.009
0 0.089 0.0093
1 0.092 0.0099
3 0.097 0.0117
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 182
5 0.102 0.0144
7 0.109 0.0254
9 0.117 0.0432
11 0.126 0.068
13 0.137 0.1006
15 0.148 0.1407
16 0.154 0.1643
Fig. 7 Coefficient of lift (CL) VS Angle of Attack (α)
Fig. 8 Coefficient of drag (CD) VS Angle of Attack (α)
Fig 9 Coefficient of lift (CL) Vs Coefficient of lift (CD)
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
-10 -5 0 5 10 15 20
706
406
412
1006
cl
α
0
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
-10 -5 0 5 10 15 20
406
412
706
1006
CD
α
-1
-0.5
0
0.5
1
1.5
-0.5 0 0.5 1
406
412
706
1006
CL
CD
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 183
Fig.10. CP VS LOCATION
6. CONCLUSIONS
Computational investigations have been performed to
examine the effectiveness of the various supercritical airfoil
mounted at varying angle to improve the performance of a
wing in subsonic flow. Combining the Computational
analysis measurement results with the experimental result,
the following are presented for analysis performance due to
various supercritical airfoils.
This distinctive airfoil shape, based on local supersonic flow
with isentropic recompression, was characterized by a large
leading-edge radius, reduced curvature over the middle
region of the upper surface, and substantial aft camber. This
report has summarized the NASA supercritical airfoil
development program in a chronological fashion, discussed
some of the airfoil design guidelines, and presented
coordinates of a matrix of family-related supercritical
airfoils with thicknesses of 2 to 18 percent and design lift
coefficients from 0 to 1.0.
From supercritical airfoil 0406 is we can conclude that
produces more lift and lesser drag compare to the other
supercritical airfoil.
REFERENCES
[1] McGhee, Robert J.; and Beasley, William D.: Low-
Speed Aerodynamic Characteristics of a 17-Percent-
Thick Airfoil Section Designed for General Aviation
Applications. NASA TN D-7428, 1973.
[2] Whitcomb, Richard T.: Review of NASA
Supercritical Airfoils. ICAS Paper No. 74-10, Aug.
1974
[3] McGhee, Robert J.; and Beasley, William D.: Effects
of Thickness on the Aerodynamic Characteristics of
an Initial Low-Speed Family of Airfoils for General
Aviation Applications. NASA TM X-72843,1976
[4] McGhee, Robert J.; and Beasley, William D.: Low-
Speed Wind-Tunnel Results for a Modified 13-
Percent- Thick Airfoil. NASA TM X-74018, 1977
[5] McGhee, Robert J.; and Beasley, William D.: Wind-
Tunnel Results for an Improved 21-Percent-Thick
Low- Speed Airfoil Section. NASA TM-78650,
1978.
[6] McGhee, Robert J.; and Beasley, William D." Low-
Speed Aerodynamic Characteristics of a 13-Percent-
Thick Medium-Speed Airfoil Designed for General
Aviation Applications. NASA TP-1498, 1979.
[7] McGhee, Robert J.; and Beasley, William D.: Low-
Speed Aerodynamic Characteristics of a 17-Percent-
Thick Medium-Speed Airfoil Designed for General
Aviation Applications. NASA TP-1786, 1980.
[8] McGhee, Robert J.; and Beasley, William D.: Wind-
Tunnel Results for a Modified 17-Percent-Thick
Low- Speed Airfoil Section. NASA TP-1919, 1981.
[9] Ferris, James D.; McGhee, Robert J.; and Barnwell,
Richard W.: Low-Speed Wind-Tunnel Results for
Symmetrical NASA LS (1)-0013 Airfoil. NASA TM-
4003, 1987.14
[10] . Whitcomb, Richard T.; and Clark, Larry R.: An
Airfoil Shape for Efficient Flight at Supercritical
Mach Numbers. NASA TM X-1109, 1965.

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Analysis of aerodynamic characteristics of a supercritical airfoil for low speed aircraft

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 179 ANALYSIS OF AERODYNAMIC CHARACTERISTICS OF A SUPERCRITICAL AIRFOIL FOR LOW SPEED AIRCRAFT P.Sethunathan1 , M.Niventhran2 , V.Siva2 , R.Sadhan Kumar2 1 Asst.Professor, Department of Aeronautical Engineering, Paavaai Group of Institutions, Namakkal 2 UG Students, Department of Aeronautical Engineering, Paavaai Group of Institutions, Namakkal Abstract The main goal of the proposed paper is the analysis of aerodynamic characteristics of an various supercritical airfoils like 0406, 0412, 0706 and 1006 influence on the dramatic improvement in lift and reduction of drag in low speed aircraft. In a precedent work, a cusp like structure at the trailing edge of an unsymmetrical airfoil produces a very high improvement in climbing performance of an aircraft. The computational analysis of aerodynamic characteristics of supercritical airfoil design and analysis by using ICEM- CFD. In this work certain supercritical airfoils set on an ICEM- CFD without changing benchmark setup, in order to compare their coefficient of lift ( CL ) and coefficient of drag ( CD ) at various angle of attack (α). The pressure distribution was measured to verify global and local effects of airfoil structure. The test conducted in subsonic speed at flow velocity of 25m/s. The result shows that certain supercritical airfoil (0406) configuration reduced the drag and improve coefficient of lift (CL) by 15-20% compared with the baseline model. Keywords: Supercritical airfoil, Lift Curve Slope, Coefficient of Lift, ICEM–CFD, Drag Reduction. -------------------------------------------------------------------***------------------------------------------------------------------- 1. INTRODUCTION 1.1 Flow Past a Supercritical Airfoil The flow over a finite wing is different from that of flow over an airfoil. Transonic Jet aircrafts fly at speed of 0.8-0.9 Mach number. At these speeds speed of air reaches speed of sound somewhere over the wing and compressibility effects start to show up. The free stream Mach number at which local sonic velocities develop is called critical Mach number. It is always better to increase the critical Mach number so that formation of shockwaves can be delayed. This can be done either by sweeping the wings but high sweep is not recommended in passenger aircrafts as there is loss in lift in subsonic speed and difficulties during constructions. So engineers thought of developing an airfoil which can perform this task without loss in lift and increase in drag. They increased the thickness of the leading edge and made the upper surface flat so that there is no formation of strong shockwave and curved trailing edge lower surface which increases the pressure at lower surface and accounts for lift. 1.2 Scope and Objective of the Present Work In the present work, first of all we have analyzed the effect of number of airfoils to reduce the drag. We computed flow over the wing with different configurations of supercritical airfoils.. The four configurations of models are airfoil (0406, 0412, 0706, and 1006) results have been compared to the experimentally reported results from the literatures 0406 is good performance for CL, CD, and Cp analyzed by ICEM- CFD. 2. LITERATURE REVIEW A concerted effort within the National Aeronautics and Space Administration (NASA) during the 1960's and 1970's was directed toward developing practical airfoils with two- dimensional transonic turbulent flow and improved drag divergence Mach numbers while retaining acceptable low- speed maximum lift and stall characteristics and focused on a concept referred to as the supercritical airfoil. This distinctive airfoil shape, based on the concept of local supersonic flow with isentropic recompression, was characterized by a large leading-edge radius, reduced curvature over the middle region of the upper surface, and substantial aft camber. 2.1 Effects of Trailing-Edge Thickness The design philosophy of the supercritical airfoil required that the trailing-edge slopes of the upper and lower surfaces be equal. This requirement served to retard flow separation by reducing the pressure recovery gradient on the upper surface so that the pressure coefficients recovered to only slightly positive values at the trailing edge. For an airfoil with a sharp trailing edge, as was the case for early supercritical airfoils, such restrictions resulted in the airfoil being structurally thin over the aft region. Because of structural problems associated with sharp trailing edges and the potential aerodynamic advantages of thickened trailing edges for transonic airfoils, an exploratory investigation was made during the early development phases of the supercritical airfoil to determine the effects on the aerodynamic characteristics of thickening the trailing edge shows that increasing the trailing-edge thickness of an interim ill-percent-thick supercritical airfoil from 0 to 1.0
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 180 percent of the chord resulted in a significant decrease in wave drag at transonic Mach numbers; however, this decrease was achieved at the expense of higher drag at subcritical Mach numbers. 3. COMPUTATIONAL MODELLING OF FLUID FLOW CFD is one of the branches of fluid mechanics that uses numerical methods and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the millions of calculations required to simulate the interaction of fluids and gases with the complex surfaces used in engineering. More accurate codes that can accurately and quickly simulate even complex scenarios such as supersonic or turbulent flows 4. SUPERCRITICAL AIRFOIL NOMENCLATURE  Wing configuration - SC (2) - 0406  Wing configuration - SC (2) – 0412  Wing configuration - SC (2) – 0706  Wing configuration - SC (2) - 1006  Wing length - 0.25 m  Viscosity - 1.8310E-05  Density - 1.125 kg/m3 5. NUMERICAL RESULTS AND GRAPHS In order to ensure that the numerical simulation of steady flow over airfoil at different orientations using ICEM-CFD is properly carried out; a few benchmark test cases for validation were simulated first. 5.1 Inviscid Flow over a Supercritical Airfoil For the numerical simulation of flow over wing using commercial package ICEM-CFD has been used to solve the basic governing equations for velocities and other quantities. Fig.1. Domain wall The schematic representation of the computational domain Structured grid in Cartesian coordinates is chosen, where x- axis is along the free stream direction, y-axis is in the vertical direction, z-axis is in the span wise direction. The solution is started and allowed to converging and attains periodic nature. Conditions for the Inviscid Model  INLET CONDITION - INLET  OUTLET CONDITON - OUTLET  AIRFOIL SURFACE - WALL  TOP AND BOTTOM SURFACE - WALL  SOLVER - CFX  MODEL - INVISCID  TIME - STEADY FLOW  DENSITY - 1.225 Kg/m3 5.2 Inviscid Flow over a Supercritical Airfoil (0406) Meshing Fig. 2 Meshing of supercritical airfoil 0406 The flow over a wing for Reynolds number 2,50,000 is computed using ICEM-CFD simulating in supercritical airfoil. The variation of lift coefficient Vs angle of attack shown.Fig,7 As well as the variation of drag coefficient has shown Vs angle of attack shown in Fig.8 and CL Vs CD in Fig. 9 . 5.3 Comparison of Inviscid Flow Supercritical Airfoil (0406, 0412, 0706, 1006) Meshing Fig. 3 Meshing Of Supercritical Airfoil 0406
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 181 5.4 Analyzing Flow Velocity Fig. 4.Velocity distribution over a Supercritical Airfoil 0406 5.5 Pressure Fig. 5.Pressure distribution over a supercritical airfoil 0406 5.6 Streamline Velocity Fig. 6 Stream line velocity of supercritical airfoil 0406 Table 1 SC (2) - 0406 AOA(α) CL CD -5 -0.426 0.0084 -3 -0.197 0.0074 -1 0.033 0.0072 0 0.148 0.0069 1 0.263 0.0072 3 0.472 0.0078 5 0.561 0.0091 7 0.634 0.0107 9 0.692 0.0138 11 0.733 0.0175 13 0.758 0.0222 15 0.766 0.0278 16 0.763 0.0312 Table 2 SC (2) - 0412 AOA(α) CL CD -5 -0.304 0.0083 -3 -0.065 0.0088 -1 0.174 0.0085 0 0.293 0.0084 1 0.412 0.0085 3 0.651 0.0091 5 0.83 0.0105 7 0.962 0.0123 9 1.062 0.0147 11 1.131 0.0177 13 1.169 0.0215 15 1.176 0.0258 16 1.168 0.0295 Table 3 SC (2) - 0706 AOA(α) CL CD -5 -0.634 0.0088 -3 -0.381 0.0082 -1 -0.127 0.008 0 0 0.0078 1 0.127 0.008 3 0.381 0.0082 5 0.634 0.0087 7 0.851 0.0103 9 1.004 0.0126 11 1.104 0.0157 13 1.158 0.0247 15 1.172 0.0411 16 1.161 0.0535 Table 4 SC (2) – 1006 AOA(α) CL CD -5 0.073 0.0075 -3 0.08 0.0075 -1 0.087 0.009 0 0.089 0.0093 1 0.092 0.0099 3 0.097 0.0117
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 182 5 0.102 0.0144 7 0.109 0.0254 9 0.117 0.0432 11 0.126 0.068 13 0.137 0.1006 15 0.148 0.1407 16 0.154 0.1643 Fig. 7 Coefficient of lift (CL) VS Angle of Attack (α) Fig. 8 Coefficient of drag (CD) VS Angle of Attack (α) Fig 9 Coefficient of lift (CL) Vs Coefficient of lift (CD) -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 -10 -5 0 5 10 15 20 706 406 412 1006 cl α 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 -10 -5 0 5 10 15 20 406 412 706 1006 CD α -1 -0.5 0 0.5 1 1.5 -0.5 0 0.5 1 406 412 706 1006 CL CD
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 06 | Jun-2014, Available @ http://www.ijret.org 183 Fig.10. CP VS LOCATION 6. CONCLUSIONS Computational investigations have been performed to examine the effectiveness of the various supercritical airfoil mounted at varying angle to improve the performance of a wing in subsonic flow. Combining the Computational analysis measurement results with the experimental result, the following are presented for analysis performance due to various supercritical airfoils. This distinctive airfoil shape, based on local supersonic flow with isentropic recompression, was characterized by a large leading-edge radius, reduced curvature over the middle region of the upper surface, and substantial aft camber. This report has summarized the NASA supercritical airfoil development program in a chronological fashion, discussed some of the airfoil design guidelines, and presented coordinates of a matrix of family-related supercritical airfoils with thicknesses of 2 to 18 percent and design lift coefficients from 0 to 1.0. From supercritical airfoil 0406 is we can conclude that produces more lift and lesser drag compare to the other supercritical airfoil. REFERENCES [1] McGhee, Robert J.; and Beasley, William D.: Low- Speed Aerodynamic Characteristics of a 17-Percent- Thick Airfoil Section Designed for General Aviation Applications. NASA TN D-7428, 1973. [2] Whitcomb, Richard T.: Review of NASA Supercritical Airfoils. ICAS Paper No. 74-10, Aug. 1974 [3] McGhee, Robert J.; and Beasley, William D.: Effects of Thickness on the Aerodynamic Characteristics of an Initial Low-Speed Family of Airfoils for General Aviation Applications. NASA TM X-72843,1976 [4] McGhee, Robert J.; and Beasley, William D.: Low- Speed Wind-Tunnel Results for a Modified 13- Percent- Thick Airfoil. NASA TM X-74018, 1977 [5] McGhee, Robert J.; and Beasley, William D.: Wind- Tunnel Results for an Improved 21-Percent-Thick Low- Speed Airfoil Section. NASA TM-78650, 1978. [6] McGhee, Robert J.; and Beasley, William D." Low- Speed Aerodynamic Characteristics of a 13-Percent- Thick Medium-Speed Airfoil Designed for General Aviation Applications. NASA TP-1498, 1979. [7] McGhee, Robert J.; and Beasley, William D.: Low- Speed Aerodynamic Characteristics of a 17-Percent- Thick Medium-Speed Airfoil Designed for General Aviation Applications. NASA TP-1786, 1980. [8] McGhee, Robert J.; and Beasley, William D.: Wind- Tunnel Results for a Modified 17-Percent-Thick Low- Speed Airfoil Section. NASA TP-1919, 1981. [9] Ferris, James D.; McGhee, Robert J.; and Barnwell, Richard W.: Low-Speed Wind-Tunnel Results for Symmetrical NASA LS (1)-0013 Airfoil. NASA TM- 4003, 1987.14 [10] . Whitcomb, Richard T.; and Clark, Larry R.: An Airfoil Shape for Efficient Flight at Supercritical Mach Numbers. NASA TM X-1109, 1965.