A smoothly contoured nozzle, with outlet diameter \(d=20 \mathrm{~mm}\), is coupled to a straight pipe by means of flanges. Water flows in the pipe, of diameter \(D=50 \mathrm{~mm}\), and the nozzle discharges to the atmosphere. For steady flow and neglecting the effects of viscosity, find the volume flow rate in the pipe corresponding to a calculated axial force of \(45.5 \mathrm{~N}\) needed to keep the nozzle attached to the pipe.