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 u_z = 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