For the velocity field of Prob. 4–22, calculate the fluid acceleration along the diffuser centerline as a function of x and the given parameters. For L = 1.56 m, u_entrance = 24.3 m/s, and u_exit = 16.8 m/s, calculate the acceleration at x = 0 and x = 1.0 m.

Data from Problem 22

Consider steady flow of air through the diffuser portion of a wind tunnel (Fig. P4–22). Along the centerline of the diffuser, the air speed decreases from u_entrance to u_exit as sketched. Measurements reveal that the centerline air speed decreases parabolically through the diffuser. Write an equation for centerline speed u(x), based on the parameters given here, from x = 0 to x = L.

Transcribed Image Text:

Dentrance x=0 uentrance u(x) x = L exit Dexit