Consider a two$-$dimensional planar channel with one inlet and two outlets that include a reducing bend. The

velocity distribution at the inlet varies linear from zero to $U_1.$ The velocity at the two outlets is uniform and the

motion may be taken to be incompressible and steady. Determine $($a$)$ the maximum velocity at Section $1$ using

the integral, control$-$volume approach and $($b$)$ the reaction forces needed to support the channel.