A pipe throttling nozzle (schematically outlined in red in Fig. 1) has a velocity field along the mid-plane approximated by, u=U0(1+Lx),v=U0Ly,w=0, where U0 and L are flow velocity and nozzle length, respectively. a. Determine expressions for both the horizontal and vertical accelerations, ax&ay. b. Show that the velocity field satisfies the differential continuity equation and c. that it satisfies the incompressible flow Navier-Stokes equations. Figure 1. Flow nozzle stock photo (source: bttosi//www wermacuoro/specigis/fownoz- zlehind)