(Solved): 2. An incompressible fluid flows past a stationary flat plate with uniform inlet profile and a poly ...

2. An incompressible fluid flows past a stationary flat plate with uniform inlet profile and a polynomial outlet profile $v_{x,\text{ out }}=v_0\left(\frac{3??{?}^3}{2}\right)$, where $?=\frac{y}{?}$, as shown below, A control volume has been defined which has a height $?$ and width W (into the plane of the paper). If the plate has a width $b$ determine a relationship for the volumetric flowrate $\mathrm{Q}$ across the top surface of the control volume as a function of $v_0,?$, and $W$.