- #1
jstrz13phys
- 7
- 0
Homework Statement
A two dimensional free vortex is located near an infinite plane at a distance h above the plane. The pressure at infinity is p_\infty and the velocity at infinity is U_\infty parallel to the plane. Find the total force (per unit depth normal to the paper) on the plane if the pressure on the underside of the plane is p_\infty. The strength of the vortex is \Gamma. The fluid is incompressible and perfect. To what expression does the force simplify if h becomes very large?
Homework Equations
I know that I will eventually integrate pressure over an area to get the force. I just don't know where to start. I also thought about imposing a mirror image of the cortex under the plane to cancel out the y components of velocity. (Not sure about this)
The Attempt at a Solution
It is intuitive that as h increase the force becomes negligable. I just can't find the expression for the force.