Water travels through a pipeline that initially runs horizontally and then gradually…
PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
Water travels through a pipeline that initially runs horizontally and then gradually rises to a point that is 4.0 m higher than the inlet. At the inlet, the water speed is 3.0 m/s and the gauge pressure is 2.0 × 10^5 Pa. Assume the pipe remains completely filled, the water density is 1.0 × 10^3 kg/m^3, and viscous losses are negligible.
(a) Compare qualitatively the water speed at the highest point with the speed at the inlet. State whether it is greater than, less than, or equal to the inlet speed and justify your answer.
(b) Compare qualitatively the gauge pressure at the highest point with the gauge pressure at the inlet. State whether it is greater than, less than, or equal to the inlet pressure and justify your answer.
(c) In terms of mechanical energy per unit volume, identify which form of energy changes most significantly between the two points and explain how the changes in the other two forms accommodate this difference.