Originally Posted by Crossplot
At every location between the stagnation areas the velocity of the flow next to the surface is one V in its source/sink direction. In the direction of its path there is no acceleration and no change in speed. The -V we see at the top of the cylinder indicates direction only and not a difference in speed.
I don't think this is the case. As you watch a cylinder pass by from left to right in the reference frame where the undisturbed air is still, the air at both the forward and aft stagnation points is moving to your right at speed V (the speed of the cylinder). The air at the top and bottom of the cylinder is moving to your left at speed V. Air is most certainly accelerating in the direction of the cylinder's travel. There is also air that is accelerating in the direction of its own instantaneous travel. Perhaps I am misunderstanding what you mean by: "In the direction of its path there is no acceleration and no change in speed".