CHAPTER 1
 


 
 

ACTIVITIES  > PROBLEMS  >  PROBLEM 3
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3
 
Pressure differences in pipes and pumps
         
 
Water is pumped through a system of pipes all of which have the same diameter. The water is taken from a tank at some depth, and it is transported and pumped to a point high above the water in the tank.
We have the following information regarding pressure. In a fluid, the pressure goes up if we go down. In a pump, the pressure goes up in the direction of flow. If there is friction as the result of flow through a pipe, the pressure goes down in the direction of flow. These effects can be combined.
  1. Generally, there is a pressure difference for every element between two points. Identify the types of processes taking place in each system. Standard processes in our system are: gravitational (going up or down in a fluid), friction in flow, pumps. Can there be more than one process between two points?
  2. Sketch a pressure - position diagram for positions going from A – G. How can the path from A – G be made into a closed circuit?
  3. What is the smallest pressure difference the pump has to set up? Why is the real value bigger?
  1. When the water flows, is the pressure difference from E to F smaller than, equal to, or larger than the pressure difference due to the height difference? Why?
  2. The pressure difference from G to E is 13,000 Pa. Ambient pressure is 96,000 Pa, and the pressure at D is 94,000 Pa. How big is the pressure difference set up by the pump?
  3. The pressure difference from G to E is 13,000 Pa. Ambient pressure is 96,000 Pa, and the pressure at D is 94,000 Pa. How big is the pressure difference set up by the pump?