Flow in a Corner

The flow of a fluid in the corner is described by the field

defined for .

The corresponding pressure is

and it has the following graph.

When we work in the corner , we have

The corresponding pressure is

and it has the following graph.

As we saw before, in the general case , we have

Despite the complexity of this expression, the pressure has a simple form; indeed

Because the velocity and pressure become unbounded as , it makes no sense to calculate the force on the wedge.