Water is pressurized in a tank and discharged through a narrow gap between two horizontal disks of radius . Find the pressure distribution as the water moves from the center to the edge. The Challenge: Unlike standard pipe flow, the velocity
For inviscid flow (( Re \to \infty )), RHS = 0: [ (U - c)(\phi'' - \alpha^2 \phi) - U'' \phi = 0 ] with ( \phi(0)=\phi(\infty)=0 ) (bounded).