Example: Irrotational Velocity and Pressure Fields
Given: A steady, 2-D, incompressible velocity field is given by velocity components,
u=2x+y v=x-2y
We are ignoring units in this problem (the units of the constants are adjusted such that the
velocity components have appropriate units). We also ignore gravitational effects. At the
origin (x,y) = (0,0), P = P$_0$.
To do: Generate expressions for the velocity potential function, the stream function, and the
pressure field.
