Pulsatile flow at large \(W o\). For large values of \(W o\) the problem is of singular perturbation type. Verify that the inner solution is of a plug-flow type. The pressure is balanced by inertial forces here. Also show that the inner solution does not satisfy the boundary condition at the wall. A singular perturbation solution is therefore needed. Perform the necessary analysis and compare your answer with the PDEPE solution and the analytical solution.

Show that the base solution is

\[v^{*}=\frac{1}{W o^{2}} \sin \left(t^{*}\right)\]

We note that the profile is plug flow and the flow is completely out of phase with the pressure oscillation. The boundary condition at \(\xi=1\) is not satisfied, and hence this is a singular perturbation problem. Find the boundary-layer-type solution which is useful near the walls.