A velocity field is given:
u = a(x^2 - y^2)
v = -2axy
w = 0
a. determine if this is a flow.
b. if it is a flow, determine an expression for the stream function.
c. determine if it is rotational.
d. determine an expression for the velocity potential, if it exists.
e. if a stream function and a velocity potential exist, sketch both the streamlines the equipotential lines and the pressure field using the pressure at the origin to normalize.
f. describe three possible physical situations this case might represent.