Inviscid flow around cylinder in presence of wall

[Armin1986]

Hi there,

Is there someone who would know how to solve the following potential flow theory problem:

How to find the flow field and resulting force on a cylinder moving at a constant velocity through a stagnant fluid in the presence of a wall. The motion of the cylinder is parallel to the wall.

Without the wall it can be found that there is no force due to the inviscid nature of the flow.
However, due to the wall, "ground effect" occurs and therefore there will be a lift force.

I have two questions:
- How to find the flow field (e.g. streamlines or vector field)
- How to find the force as a function of the distance from the wall

I would be very thankfull if someone could help me with this problem.

 

[Chestermiller]

You can use the method of reflections by placing an identical cylinder at an equal distance on the other side of the wall (and removing the wall). You would also have the observer moving along with the cylinders, so that, from his frame of reference, the cylinders are stationary and the fluid is flowing. Very straightforward.