A flow rate of \(0.18 \mathrm{~m}^{3} / \mathrm{s}\) of water at \(20^{\circ} \mathrm{C}\) discharges from a \(0.3 \mathrm{~m}\) pipe through a \(0.15 \mathrm{~m}\) nozzle into the atmosphere. The axial force component exerted by water on the nozzle is \(3 \mathrm{kN}\). If frictional effects may be ignored, what corresponding force will be exerted on a \(4: 1\) prototype of nozzle and pipe discharging \(1.13 \mathrm{~m}^{3} / \mathrm{s}\) of air at \(101.4 \mathrm{kPa}\) and \(15^{\circ} \mathrm{C}\) to the atmosphere? If frictional effects are included, the axial force component is \(3.56 \mathrm{kN}\). What flow rate of air is then required for dynamic similarity? What is the corresponding force on the nozzle discharging air?