Hello,
Centripetal acceleration and correction due to the collision with the walls are not specifically taken into account since they are natural consequences of the momentum equation and the continuity equation.
In a curved channel, considering the head along a trajectory does show that the velocity is higher where the curvature radius is smaller. Think of the pressure in the curve due to the centrifugal force, then think that where the pressure is higher the velocity will be smaller to preserve the head... It is true that it goes against intuition but what you observe is correct.
With best regards,
Jean-Michel Hervouet