For a certain two$-$dimensional flow field

$u=0$

$v=V$

$($a$)$ What are the corresponding radial and tangential velocity components?

$($b$)$ Determine the corresponding stream function expressed in Cartesian coordinates. Denote the constant of integration $C.$

$($c$)$ Determine the corresponding stream function expressed in cylindrical polar coordinates. Denote the constant of integration $C.$

$($a$)v_r=$

$v_{}=$

$$

$($b$)=$

$($c$)=$For a certain two$-$dimensional flow field

$u=0$

$v=V$

$($a$)$ What are the corresponding radial and tangential velocity components?

$($b$)$ Determine the corresponding stream function expressed in Cartesian coordinates. Denote the constant of integration $C.$

$($c$)$ Determine the corresponding stream function expressed in cylindrical polar coordinates. Denote the constant of integration $C.$

$($a$)v_r=$

$v_{}=$

$$

$($b$)=$

$($c$)=$