Question

2. A garden hose attached to a nozzle is used to fill a 15-gal bucket. The inner diameter of the hose is 1.5 cm, and it reduces to 0.8 cm at the nozzle exit. If it takes 50 s to fill the bucket with water (density = 1 kg/L), determine

(a) the volume and mass flow rates of water through the hose, and

(b) the average velocity of water at the nozzle exit.

Answer 1

volume of bucket = 15 gallon= 15*3.785= 56.775 Litre

a) volume flow rate = (volume of the bucket)/(time to fill the bucket) = 56.775/ 50 = 1.1355 Litre/s (Ans)

    Mass flow rate = (volume flow rate) * (density of fluid) = 1.1355*1 kg/s = 1.1355 kg/s (Ans)

b) the average velocity through the nozzle exit =( volume flow rate ) / (nozzle area) = (1.1355 *1000 cm³/s) / (π*0.8²/4 )

                                                                                                                  =2259.01 cm/s =22.59 m/s (Ans)