The velocity field for a 2D flow is given by V = [(Ax-By) t] i - [(Bx + Ay) t] j where A = 1s⁻² and B = 2s⁻², t is time in seconds, and the coordinates are measured in meters.
A. Is this flow incompressible ?
B. Is the flow steady or unsteady ?
C. Show that the flow is irrotational and derive an expression for the velocity potential.