Consider flow field flow over a circular cylinder.$$We$$introduce a parameter called the stream

function$$$,$which$$is$$constant along streamlines$$in$$two$-$dimensional flows such$$as$$the one being

considered here. The velocity field corresponds$$to$$a stream function given$$by

$=$Vsin$($r$-$a$2$r$)$

$($a$)$Setting$$r$$as$$a function$$of$$$.$

$($b$)$For the particular case$$in$$which$$V$=1\mathrm{.}00$ms$$and cylinder radius$$a$=10\mathrm{.}0$cm$,$obtain the

velocity field components$$in$$cylindrical coordinates.