The velocity field for a two-dimensional flow is V~ 5 ðAx ByÞtˆı ðBx þ AyÞtˆj, where A 5 1 s22 B 5 2 s22 , t is in seconds, and the coordinates are measured in meters. Is this a possible...

The velocity field for a two-dimensional flow is

V~ 5 ðAx ByÞtˆı ðBx þ AyÞtˆj, where A 5 1 s22 B 5 2 s22

,

t is in seconds, and the coordinates are measured in meters.

Is this a possible incompressible flow? Is the flow steady or

unsteady? Show that the flow is irrotational and derive an

expression for the velocity potential.