Simultaneously Deriving Wing Twist and Planform from Two Lift Distributions

What is it about?

This note treats a wing using lifting line theory from a linear algebraic perspective. The approach relates arbitrary wing twist, wing planform, and lift distributions. The formulation is highly compact and readily coded into modern software such as Matlab or Mathematica. A new result is that both the planform and twist can be solved simultaneously when given two different lift distributions for the wing to meet (at different angles of attack). Multiple examples are shown, and backed up in supplemental materials.

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