Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. P43). Along the centerline of

Question:

Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. P4–3). Along the centerline of the nozzle, the water speed increases from u_entrance to u_exit as sketched. Measurements reveal that the centerline water speed increases parabolically through the nozzle. Write an equation for centerline speed u(x), based on the parameters given here, from x = 0 to x = L.

FIGURE P4–3