Ok to be real clear let's remove the turn out of the equation and do a barrel roll.... pure unadulterated aileron.
Now it's easy to imagine that the left wing as it rises is generating more lift than the right wing as it drops... I spent years thinking along those lines... afterall that's what the books say... But the books also say that the centre of lift doesn't move, and that's where all the confusion arises because if the point at which the force is acting doesn't move then the only way that a wing can rise IS by increasing the force.
Otherwise you could increase the moment generated by the left wing by simply moving the center of lift outwards whilst keeping the force it's generating the same.... and if you moved the centre of lift outwards enough you could actually reduce the force it's generating and still have more moments of turning than the right wing...
Now Farlander, you've already explained that with a lowering of the aileron the outer wing generates more lift and the inner remains the same, under those circumstances the centre of lift has to move, there can be no confusion here.
ok so I've moved the stick to the right, the lift from the left outerwing increases and the center of lift moves outwards, on the right wing the opposite takes place.... and it's easy to imagine, the left wing has more lift and more moments.
But wait ! AND THEN THE PLANE ROTATES.
Now depending upon the forward speed of the plane, the rate of rotation and the distances along the wing at which you're measuring, and as such the speed that this point is rotating at..... the Angle of Attack changes.. it's a Pythagoras thing.
And get this.. the AoA on the lowering wing increases and decreases on the wing rising...
So now we have a reducing of lift by the left wing, but the lift that is being generated is at the outerwing and as such has a greater moment of turning that the greater lift being generated by the droping wing which is being generated closer to the root...
And that's how the right wing generates more lift than the left, yet still the left produces more moments of turning than the right...
And under those circumstances the right wing having a centre of lift behind the centre of gravity, and due soley to the dihedral creates a Y vector pushing leftwards and which yaws the nose to the right....
phew......
Simon
