Water flows from a nozzle with a speed of V=10 m/s ad is collected in a containe

Question

Water flows from a nozzle with a speed of V=10 m/s ad is collected in a container that moves toward the nozzle with a speed of V_cv=2 m/s as shown in the figure. The moving control surface consists of the inner surface of the container. The system consists of the water in the container at time t=0 and the water between the nozzle and the tank in the constant diameter stream at t=0. At time t=0.1 sec what volume of the system remains outside of the control volume? How much water has entered the control volume during this time period? Repeat the problem for t=0.3 sec

Explanation / Answer

relative velocity =10+2 =12 in 0.1 s distance coverd =1.2 m hence distance left =3-1.2 =2.8m hence volume outside cntrol volume =2.8 *3.14*0.05^2 =0.02198 m^3 .... water inside the control volume =12*3.14*0.05^2 *0.1 =9.42*10^-3 m^3 ........... for t=0.3 relative velocity =10+2 =12 in 0.3 s distance coverd =3.6 m hence everyithing is in control volume as 3

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