For the velocity field of Prob. 4–3, calculate the fluid acceleration along the nozzle centerline as a function of x and the given parameters.

Data from problem 3

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

Transcribed Image Text:

Dentrance Mentrance x=0 u(x) Dexit 1 x=L Mexit