When immersed in a uniform stream, a thick elliptical cylinder $($extending a width $b$ into the

picture$)$ create a broad downstream wake with a velocity profile

$u_2(y)=\frac{1}{2}{U}_0[1+si{n}^2(\frac{y}{2L})]$ for $,-LyL.$

The pressure at the upstream and downstream sections are approximately uniform and equal. If

the water flow has velocity $U=5\frac{m}{s}$ and the wake half$-$height is $L=80cm,$ estimate the drag force

on the cylinder for a unit width into the paper $(b=1).$ Also compute the dimensionless drag

coefficient,

$C_D=\frac{2F}{U_{}^{2}bL}.$

In your solution, you need to work out the entire analysis starting with the conservation of mass

and momentum equations.