Consider the velocity fleld described by the equations, $W=C{y}_{+}v=Cx,$ where an and $v$ are

respectively the components of the fluid selocity in the $x$ and $y$ directions, and $C$ is a dimentoonal

constant.

$($a$)$ What are the dimensions of $C?$

$($b$)$ Obtain an expression for the local acceleration of a fluid particle which is at the location $($s$,$y$)$ at

time $6.$

$($e$)$ Ohtain an expression for the convective acceleration of a fluid particle which is at the locasion $(x,$ va$)$

at time $f.$

$($d$)$ Using your answers to parts $($b$)$ and $($c$),$ write the expression for the acceloration of a fluid particle

which is at the location $(x_0{y}_0)$ at time $f.$

$($c$)$ Determine the vorticity vector.

$($f$)$ Determine the relative rate of volumetric dilation.

$($g$)$ Determine the equation of the streamline strough the point $(x_0,y_0).$

$($b$)$ Is the flow steady?

$($i$)$ Is the flow incompressible?

$($j$)$ Is the flow irrotational?