Bonus Exercise $[10\%$ mark$]$

Consider a flow whose velocity components in the XY Cartesian reference frame are:

$u=4y$;$,v=8xy$

You are required to:

a$)$ bonus$]$ sketch the flow $($draw at least $3$ streamlines to represent the flow field$)$;

b$)[5\%$ bonus$]$ determine for which values of $x$ and $y$ the flow is irrotational and does not undergo strain.