A velocity field is given by
u = 3 y; v = -3 x
over the range 0

Take the density as 1 and the "depth" (in the z direction) as 1.

a) Validate that this field is incompressible
b) calculate the mass flow rate out through each of the four sides of the box and show that sum of these is 0.
c) Plot velocity vectors using Matlabs' quiver function
d) Find out and plot the streamlines coming out of the left and bottom boundaries, x=0 and y=0
e) Find out the net force exerted on the fluid inside the box by summing momentum flow rates out through each of four sides of the box.