I was asking myself the same question. I would love to see a derivation from e.g. the Navier Stokes equation for this. I think, intuitively, when you draw the streamlines under the rectangular wings, the applied force should be related to the curvature of the streamlines (which is larger at the beginning of the wing).I made some simple 2D Navier-Stokes solver here where you can use the mouse to draw a section of a wing:
https://alexander-barth.github.io/FluidSimDemo-WebAssembly/
The color represents the pressure (I should add a proper color bar!)
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