We want to meter the volume flow of water (ρ=1000 kg/m3, ν=1.02×10−6 m2/s) moving through a 200-mm-diameter pipe at an average velocity of 2.0 m/s. If the differential pressure gage selected reads accurately at p1−p2=50,000 Pa, what size meter should be selected for installing (a) an orifice with D:21D taps, (b) a long-radius flow nozzle, or (c) a venturi nozzle? What would be the nonrecoverable head loss for each design?