Chapter 9, Problem 28P

Consider steady flow of water through an axisymmetric garden hose nozzle (Fig. 9-28). Suppose the axial component of velocity increases linearly from $u_{z,\text{entrance}}$ to $u_z$ exit as sketched (note that the sketch is simplified). Between $z=0$ and $z=L$ , axial velocity component is given by $u_z=u_{z,\text{entrance}}+\left(u_{z,exit}-u_z{}_{,entrance}\right)/L{]}_Z$ . Generate an expression for the radial velocity component $u_r$ between $z=0$and $z=L$ . You may ignore frictional effects on the walls.

FIGURE P9-28