Question
Calculate the Reynolds numbers for the flow of water through (a) a nozzle with a radius of 0.250 cm and (b) a garden hose with a radius of 0.900 cm, when the nozzle is attached to the hose. The flow rate through hose and nozzle is 0.500 L/s. Can the flow in either possibly be laminar?
1. $N_R = 1.27 \times 10^5 > 3000$. This flow is turbulent.
2. $N_R = 35300 > 3000$. This flow is turbulent.

If the flow rate was a bit less than $\dfrac{Q}{17}$, then $N_R < 2000$, in which case the flow would be laminar in the hose. The nozzle would require a significantly lesser flow rate.

Solution Video