(Solved): Problem 3 Given a combined Couette and Poiseuille flow setup between two flat plates, show that the ...

Problem 3 Given a combined Couette and Poiseuille flow setup between two flat plates, show that the solution profile is $\frac{u(y)}{U}=\frac{1}{2}\left(1+\frac{y}{h}\right)+\frac{B}{2}\left(1?{\left(\frac{y}{h}\right)}^2\right),$ where $B=?P{h}^2/?UL$. Also show that backflow occurs for $B<?\frac{1}{2}$ This is the simplest model the onset of separation and the pressure gradient in such case is referred to as adverse pressure gradient. See Figure 1 for setup. Figure 2: Setup for combined Couette and Poiseuille flow,