Airfoil lift and drag coefficients
The shape of a moving object determines its drag coefficient, Cd.
The drag coefficient combined with velocity and area of the
moving object determine the drag force.
Fd = 1/2 * Cd * density * area * velocity^2
A few shapes and their respective drag coefficients are:
A symmetric NACA 0015 airfoil at zero degrees angle of attack
A symmetric NACA 0015 airfoil at 22 degrees angle of attack
Angle of attack shown in two degree increments
Wind tunnel measured data coefficient of lift and drag
Full set of wind tunnel data and full report
NACA-460 1933 78 airfoils
Source code for computations and plots of airfoils
0015gl.c
0015grid.c
0015grid.out
Observe aircraft from past still flying:
video
More airflow over cylinder at high Reynolds number:
inertial force ρ u L u L
RE = -------------- = --------- = ------
viscous force μ ν
L is length m = characteristic length, chord for wing, diameter for circle
u is velocity m/s
ρ is density kg/m^3 water 1000 kg/m^3 air 1.275 kg/m^3
μ is dynamic viscosity kg/ms water 0.001 kg/ms air 2*10-5 kg/ms
ν is kinematic viscosity m^2/s water 10^-6 m^2/s air 1.9*10-5 m^2/s
density and viscosity change with temperature, pressure, fluid
Typical flow goes from laminar to turbulent as RE increases above 10
see flow result plots
temperature.shtml degree conversions
work in progress still bugs:
cylinder_flow.c
cylinder_flow_c.out
cylinder_flow.java
cylinder_flow_java.out
wing_flow.java
wing_flow_java.out