For a two-dimensional, incompressible flow field, the stream function is given by the equation = 3 3 where the stream function has the units of m2 /s, with x and y both in m. (a) Sketch the streamlines for this flow field, including = -1, 0 and +1, showing the directions of flow along the streamlines. (10 marks) (b) By deriving the stream functions, explain if this this a rotational flow field or not.

For a two-dimensional, incompressible flow field, the stream function is given by the equation =3x3y where the stream function has the units of m2/s, with x and y both in m. (a) Sketch the streamlines for this flow field, including =1,0 and +1, showing the directions of flow along the streamlines. (10 marks) (b) By deriving the stream functions, explain if this this a rotational flow field or not. (10 marks) x=1m,y=3m