Reasons why you need rudder in an established turn:
1. Even when banked over and ailerons neutralised*, the outer wing will be going faster than the inner one because of it's larger radius of curvature. It will therefore generate more lift and more drag. This will tend to i) further increase the angle of bank as the outer wing generates more lift than the inner one, and ii) simultaneously tend to yaw the nose out of the turn because of the extra drag on the outer wing. At high angles of bank, the yaw will increasingly have the effect of raising the nose because of the bank. In the extreme case of a 90 degree bank, yawing will only raise of lower the nose above the horizon. The tendency to increase the bank, tightening the turn, generating even more unequal lift and so further tightening the turn is know as spiral instability. It means that without corrective action the turn will evolve into a spiral dive.
2. The "long tail" effect, where in a tight turn, the airflow will hit the fin at a slight angle, even though the wings are aligned with their long axis pointing to the centre of the turn. Because of the geometry, this "push" on the fin also acts to yaw the nose out of the turn.
The result is that into-turn rudder is required to compensate, even when established in a turn. These effects are particularly noticeable with gliders because they can make very tight turns and have long wing spans compared to the possible radius of the turn. In a tight thermalling turn, a glider can often be in a 45 degree bank. The pilot will be applying into-turn rudder to stop the nose yawing outwards, back elevator to hold the turn and slight opposite aileron to oppose the spiral instability. The turn is thus flown with the controls slightly crossed (ailerons and rudder in opposite direction). The effects are reduced for powered aircraft because the wingspan is usually much smaller and the tail much shorter in comparison to the radius of the turn.
In RoF, I often find myself flying the Dolphin with crossed controls in steep, slow turns. I'm not sure if it's just habit from glider flying, or if the FM really rewards that type of turn.
Cheers,
RD.
* A very stable aircraft may require continual into-turn aileron input to overcome its natural tendency to self right, e.g., model aircraft with a lot of dihedral are very stable. If ailerons were fitted to such a wing, it would require continual aileron deflection to maintain a constant angle of bank.
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Beyond gliding distance