A flow field is defined by $u=0,v=a(x-z),w=by$

where a and $b$ are dimemional constants.

a$)$ Obtain an expression for the stream function, if it exists

b$)$ Obtain an expression for velocity palential, if it

existo, for $($i$)a=b$

$($ii$)a=-b$

c$)$ Sketch the deformed configuration of a rectangular

fliid element that was originally having its edges

parallel to $y$ and $z$ axes, for

$($i$)a=b$

$($ii$)a=-b$