1. Consider the differential control volume shown below. By applying the conservation of mass and the momentum theorem, show that
dP + pvdv + g dy = 0
2. Water flows steadily through the horizontal 30° pipe bend shown below. At station 1, the diameter is 0.3 m, the velocity is 12 m/s, and the pressure is 128 kPa gage. At station 2, the diameter is 0.38 m and the pressure is 145 kPa gage. Determine the forces Fx and Fz necessary to hold the pipe bend stationary.
