Question $1.[20$ pts$.]$ The velocity potential in a two$-$dimensional flow field is given as

$=(-3x+5z)cos(\frac{2}{T}t)$

where $z$ axis is oriented vertically upward.

$($i$)$ Determine whether the flow is incompressible.

$($ii$)$ Determine whether the flow is irrotational.Question $1.[20$ pts$.]$ The velocity potential in a two$-$dimensional flow field is given as

$=(-3x+5z)cos(\frac{2}{T}t)$

where $z$ axis is oriented vertically upward.

$($i$)$ Determine whether the flow is incompressible.

$($ii$)$ Determine whether the flow is irrotational.Question $1.[20$ pts$.]$ The velocity potential in a two$-$dimensional flow field is given as

$=(-3x+5z)cos(\frac{2}{T}t)$

where $z$ axis is oriented vertically upward.

$($i$)$ Determine whether the flow is incompressible.

$($ii$)$ Determine whether the flow is irrotational.