Consider the garden hose nozzle of Probs. 9–29 and 9–65. Let the entrance and exit nozzle diameters be 0.50 and 0.14 in, respectively, and let the nozzle length be 2.0 in. The volume flow rate through the nozzle is 2.0 gal/min. 

(a) Calculate the axial speeds (ft/s) at the nozzle entrance and at the nozzle exit. 

(b) Plot several streamlines in the rz-plane inside the nozzle, and design the appropriate nozzle shape.

Data from Problem 9–65

Consider the garden hose nozzle of Prob. 9–29. Generate an expression for the stream function corresponding to this flow field.

Data from Problem 9–29

Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. P9–29). The axial component of velocity increases linearly from u_{z, entrance} to u_{z, exit} as sketched. Between z = 0 and z = L, the axial velocity component is given by uz = u_z,entrance + [(u_z,exit – u_z,entrance)/L]z. Generate an expression for the radial velocity component u_r between z = 0 and z = L. You may ignore frictional effects on the walls.

Fig. P9–29

Transcribed Image Text:

Dentrance 1 1 uz entrance Z=0 Dexit Uz exit 1 Z = L