Please show me how to get the right answer. 10. -14 points OSColPhys2016 12 5.P.

Question

Please show me how to get the right answer.

10. -14 points OSColPhys2016 12 5.P.053. Calculate the Reynolds numbers for the flowr of water through a nozzle with a radius of 0.300 cm and a garden hose with a radius of 0.930 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.505 L's (Assume the temperature of the water is 20°C.) a a nozzla with a radius of 0.300 cm My No Can the flow possibly be laminar? O Yas No (b) garden hose with radius of 0.920 cm Can the flow possibly ba laminar? O Yes O No Additional Materisls Reading

Explanation / Answer

rN = 0.3 cm

rH = 0.93 cm

AN = pi* rN^2 = 0.283 cm^2

AH = pi* rH^2 = 2.72 cm^2

Flow rate of hose and nozzle = 0.505 L/s = 505 cm^3/s

vN = 505/0.283 = 1784.5 cm/s = 17.8 m/s

vH = 505/2.72 = 185.7 cm/s = 1.86 m/s

= 1*10^-3 N.s/m^2

= 1000 kg/m^3

a) NR = 2vNrN/ = (2*1000*17.8*0.003)/10^-3 = 106800

Since NR is greater than 2000, the flow will not be laminar.

b) NR = 2vHrH/ = (2*1000*1.86*0.0093)/10^-3 = 34596

Since NR is greater than 2000, the flow will not be laminar.

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