A fluid flow enters the plane-wall diffuser that has an entrance area of \(A_{o}\) at a velocity of \(U_{o}\).

(a) Assuming the fluid is inviscid, determine the velocity gradient \(\frac{d U}{d x}\) in terms of \(U_{o}\) and \(A_{o}\) for a value of \(\phi=0^{\circ}\) and \(\phi=20^{\circ}\).

(b) Assuming a real viscous fluid, what is the effect of the boundary layers on the pressure gradient? In which assumption (inviscid or viscous) will the computed exit pressure be highest? Explain your answer.

Transcribed Image Text:

Flow U Ao (1) 2 y