Water enters a 5 -ft-wide, 1 -ft-deep channel as shown in Fig. P4.66. Across the inlet the water velocity is \(6 \mathrm{ft} / \mathrm{s}\) in the center portion of the channel and \(1 \mathrm{ft} / \mathrm{s}\) in the remainder of it. Farther downstream the water flows at a uniform \(2 \mathrm{ft} / \mathrm{s}\) velocity across the entire channel. The fixed control volume \(A B C D\) coincides with the system at time \(t=0\). Make a sketch to indicate

(a) the system at time \(t=0.5 \mathrm{~s}\) and

(b) the fluid that has entered and exited the control volume in that time period.

Figure P4.66

Transcribed Image Text:

6 ft/s 1 ft/s 2 ft 1 ft 1 ft/s D 2 ft B 5 ft 2 ft/s Control surface