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Subsonic Airfoils Virginia Tech(亚音速翼型弗吉尼亚理工大学)
Subsonic Airfoils
W.H. Mason
Configuration Aerodynamics Class
Most people don’t realize that mankind can be divided into
two great classes: those who take airfoil selection seriously,
and those who don’t.
Peter Garrison, Flying , Sept. 2002
Typical Subsonic Methods: Panel Methods
• For subsonic inviscid flow, the flowfield can be found by
solving an integral equation for the potential on the surface
• This is done assuming a distribution of singularities along
the surface, and finding the “strengths” of the singularities
• The airfoil is represented by a series of (typically) straight
line segments between “nodes”, and the nonpenetration
boundary condition is typically satisfied at control points
• Some version of a Kutta condition is required to close the
system of equations.
node
N - 1
N
N + 1
2 1
4 3
panel
See my Applied Computation Aero page for the derivation
Comparison of Panel Method Pressure Distribution
with Exact Conformal Transformation Results
-2.50
PANEL
-2.00 Exact Conformal Mapping
-1.50
-1.00
C
p
-0.50
0.00
0.50
1.00
-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2
x/c
XFOIL’s inviscid calculations use
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