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Pulsatile flow at large Wo, For large values of Wo the problem is of singular perturbation type

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Pulsatile flow at large Wo, For large values of Wo 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∗ = 1 Wo2 sin(t ∗) We note that the profile is plug flow and the flow is completely out of phase with the pressure oscillation. The boundary condition at ξ = 1 is not satisfied, and hence this is a singular perturbation problem. Find the boundary-layer-type solution which is useful near the walls.

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