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The first zone
includes a segment from the nose of the profile (point (0,0) to a point
on the intrados located at a position 1 measured in % of the chord. For
the first modification we will add the coordinates of the profile to
the coordinates of a generic parabola defined by the function y=k1*x^n1
where the coefficient n1 is chosen by the user (speed of curvature
variation) and the coefficient k1 is calculated internally by the
program to achieve the maximum deflection defined by the user:
k1=deflection/(x1^n1) The second zone to be modified goes from the previous point 1, to a point 3 located further to the right along the intrados. Similarly, for the second modification we will add the coordinates of the profile to the coordinates of a generic parabola defined by the function y=k3*(x3-x)^n3 where the coefficient n3 is chosen by the user (speed of curvature variation) and the coefficient k3 is calculated internally by the program to achieve the maximum deflection defined by the user: k3=deflection/((x3-x1)^n3) It is highly recommended (not mandatory) that the deflection used in zone 1 is exactly the same as that used in zone 2. This way there are no jumps in the modified zones. In some particular cases the designer may be interested in introducing jumps, but in general it will not be necessary or recommended. In addition, a reference point 2 is defined, located between points 1 and 3, so that the inlet of the profile is considered to go from point 1 to point 2. Profile modifications in zone 1-2 are defined in segment 1-3. If the x-coordinates of points 1, 2, 3 do not exactly match the profile points, the program interpolates the necessary points and adds them to the profile. Therefore, the number of points of the modified profile can be increased by up to 3 points. If the defined deflections are zero, there is no shark nose modification, and the shape of the modified profile is identical to the original, but interpolated points are added if necessary. This can be recommended in case of combining shark nose profiles with normal profiles on the same wing. |



