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International Journal of Engineering and Technology Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 569
Analysis of Effectiveness an Airfoil with Bicamber Surface
Md.Shamim Mahmud Department of Naval Architecture and Marine Engineering
Bangladesh University of Engineering and Technology
ABSTRACT
The research provide a stable, high-efficiency, high angle of attack, airfoil. The means for accomplishing these improvements
is a novel,bicamberd surface profile with two or more raised ridges placed laterally to fluid flow and generally running
parallel to the leading and trailing edge.A primary objective of this research is to improve the efficiency of airfoil to obtain
higher ratio of useful work output to energy input, thereby saving significant energy resources. This is achieved because
bicambered surface airfoil produce greater lift and reduced drag at normal operating angle of attack. A bicamber surface
airfoil improved ability to retain an attached boundary layer allows a lower thickness to chord profile to give performance
comparable to thicker ,single cambered surface airfoil. The above capabilities provide extensive possibilities in design of
high altitude aircraft where lift coefficient is low due to thin air. Flow over a short radius object must be at a greater velocity
than flow over a long radius object. There for bicambered surface airfoil effectively lower local Reynolds number is respect
to boundary layer development.
This stable high angle of attack airfoil is improving aviation safety. Private aircraft accident involve wing stall. Higher attack
angles combined with higher lift/drag ratios would enhance glide capabilities.
A secondary objective of this research is to reduce mechanical force input requires pitch airfoils such as rotary wings,
propeller, rotors and impeller, saving weight in the construction. The more central aerodynamic center and low or negative
pitches moment of bicambered surface airfoils allows this objective to be fulfilled.
For helicopter high vehicle velocities, where high maneuverability is desired, different lift and stall properties from one side
of the aircraft to the other cause problems. The anti stall characteristics to the bicambered surface airfoil can prevent much of
these problems and greatly enhance the maneuverability of rotary wing vehicles.
BACKGROUND
In the past century extensive research with single cambered aerofoil has provided numerous airfoil designs that optimize
aerodynamic performance under given condition. For instance reduced drag can be achieved while stall performance is
sacrificed, higher lift is possible, but usually at the expenses of increased darg.Stall performance can be improved, but lift or
drag performance suffers. Overall performance can be improved at some angle of attack or at some Reynolds number while
accepting reduced performance at others.In many cases aerofoil efficiency depends on the presence of camber line. The
relation between lift and drag coefficient for non camber and camber airfoil is stated here. And for the improvement of the
efficiency of airfoil Author introduces with a bicamber airfoil where the bicamber airfoil is most effective than camber and
non camber airfoil. Generally the efficiency of airfoil depends on the turbulent effect which is created on trailing edge of the
airfoil. The lift coefficient is high where the vorticity is lower and due to increase of vortecity the lift coefficient is reduced as
well as drag coefficient is increased. Here (NACA 4412),(NACA 0012),( NACA 2412) and a bicamber model are used as a
test case. This research exposes that bicamber profile is most effective from naca camber and non camber profile.
Keywords: Airfoil, Mach number, STAR CCM+, ANSYS13, NACA, Lift coefficient, Drag coefficient, Bicamber, FVM, FEM
1. METHOD OF APPROACH
Here is used the finite volume method (FVM) to solve
this problem..The airfoil mesh is developed by using
commercial CFD software ANSYS ICEM CFD (version
13.0). The numerical solutions of the governing equations
have been found using commercial CFD software package
STAR CCM+(version 4.04.011) for analyzing airfoil.
Two-dimensional Finite Volume Method (FVM) has been
applied, turbulent flow at 60 m/s free stream velocities at
different angle of attacks are simulated. Free stream
boundary conditions applied in this research. The
numerical results in terms of pressure coefficient, drag
coefficient and lift coefficient for different meshing and
conditions have been shown either graphically or in the
tabular form. Contour of pressure distribution have also
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 570
been displayed graphically. And finally calculate the
structural effect of camber and bicamber airfoil by using
FEM analysis.
FD =
v2 Cd A
L =
v2 CL A
Cp =
The transport of a scalar quantity in a continuum is
represented by the integral equation:
∫
∮
∮ ∫
= velocity vector
= surface area vector
= diffusion coefficient for
= gradient of
= source of per unit volume
The terms in this equation are, from left to right, the
transient term, the convective flux, the diffusive flux and
the volumetric source term.
Discrete Form:-
Applying the above equation to a cell-centered control
volume for cell-0, the following is obtained:
∑
∑
∫
Nface = number of faces enclosing cell
= value of convected through face f
= mass flux through the face
= area of face f
=gradient of at face f
V = cell volume
Bicamber’s maximum thickness is 0.12m and maximum
thickness position is 0.16m from leading edge
Author has taken free stream boundary condition.
Temperature 291k
Dynamic viscosity 4.61×10^-5
Turbulent model, Spalart-Allmaras Turbulence
Velocity 60 m/s
Density of air 1.2126 kg/m^3
Mach Number 0.1807
2. RESULT
Fig: Mesh of NACA 2412 profile
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 571
Fig: Mesh of Bicamber profile
Fig: Trailing edge vortecity of NACA 2412 profile
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 572
Fig: clips edge vortecity of Bicamber profile
Fig: Velocity distribution of Bicamber profile
Fig: Mach Number distribution of NACA 2412 profile
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 573
Fig: Mach Number distribution of Bicamber profile
Fig: Drag Coefficient Vs Angle of Attack
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 574
Fig: Lift coefficient Vs Angle of Attack
Validation of the result by wind tunnel test data
The two graphs, red line shows the wind tunnel test result and blue line shows FVM simulation result for bicamber profile.
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 575
3. Model Analysis:
Now for structural effect analysis the author is considered 3d NACA and Bicamber profile.
Cord Length of the NACA and Bicamber Profile 1m and Wideth also 1 m.
Material Name: Aluminum Alloy 6063T4
Model type: Linear Elastic Isotropic
Default failure criterion: Max von Mises Stress
Yield strength: 9e+007 N/m^2
Tensile strength: 1.7e+008 N/m^2
Elastic modulus: 6.9e+010 N/m^2
Poisson's ratio: 0.33
Mass density: 2700 kg/m^3
Shear modulus: 2.58e+010 N/m^2
Thermal expansion: 2.34e-005 /Kelvin
Fig: Stress distribution of Bicamber Profile
Fig: Displacement of Bicamber Profile
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 576
Fig: Stress distribution of NACA 4412 Profile
Fig: Stress Displacement of Bicamber Profile
Profile
name
velocit
y
Lift
Force
Stress
(max)
Stress
(min)
Strain
(max)
Strain
(min)
Displacement
(max)
Bicambe
r
60m/s 4908.6
3 N
953787
N/m^2
1189.09
N/m^2
1.03523e-005
2.87658e-008
0.0694524
mm
Naca
4412
60m/s 4908.6
3 N
1.07106e+006
N/m^2
1708.52
N/m^2
1.18481e-005
3.7737e-008
0.085971 mm
International Journal of Engineering and Technology (IJET) – Volume 3 No. 5, May, 2013
ISSN: 2049-3444 © 2013 – IJET Publications UK. All rights reserved. 577
4. COMMENTS
This research shows how the bicamber profile acts
perfectly in vortex condition. As angle of attack increases
the vorticity in upper surface also increases, so the lift
force reduces and drag force increases. In turbulent flow,
vortex is created in the clips between the two camber of a
bicambered foil. The lifting effect reduced by the vorticity
is recovered by generating the lift force in 2nd camber.
Thus, the lesser vortex effect in bicamber profile results in
higher lift force and lower drag force, hence increases the
lift by drag ratio. In this research the Author finds that
lift-drag ratio of the bicamber airfoil is higher than NACA
profile.On the other hand, the angle of attack increases
lift-drag ratio is inversely proportional to the angle of
attack. And findings suggest that for same lift force, both
maximum displacement and stress are lower for a
bicambered foil when compared with NACA profile.
Thus, airfoil with bicamber profile is more effective than
NACA profile.
ACKNOWLEDGEMENT
The author is grateful to the University of Illinois for
providing airfoil coordinate data .
REFERENCES
[1] 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.
[2] Douvi C. Eleni*, Tsavalos I. Athanasios and
Margaris P. Dionissios,( 2012) “Evaluation of the
Turbulence Models for the Simulation of the Flow
Over a National Advisory Committee for Aeronautics
(NACA) 0012 Airfoil”, Journal of Mechanical
Engineering Research Vol. 4(3), pp. 100-11.
[3] Frederick.L.Felix.(March,7,1995) “Airfoil with
Bicamber Surface”, United State Patent Number
5395071
[4] S.Kandwal1 and, Dr. S. Singh(2012) "Computational
Fluid Dynamics Study Of Fluid Flow And
Aerodynamic Forces On An Airfoil". International
Journal Of Engineering Research & Technology
(IJERT) Vol. 1 Issue 7, September – 2012 .ISSN:
2278-0181
[5] 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.
[6] Menter FR (1994). Two-Equation Eddy-Viscosity
Turbulence Models for Engineering Applications.
AIAA J., 32: 1598-1605