What is the relationship between HGL and EGL at a pump?

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SUMMARY

The discussion centers on the relationship between the Hydraulic Grade Line (HGL) and the Energy Grade Line (EGL) at a pump in fluid mechanics. It is established that the EGL represents the total energy of the fluid, while the HGL indicates the potential energy. The key conclusion is that when fluid velocity at the pump is zero, the HGL and EGL converge, confirming that the second graphical representation is correct. This understanding is critical for analyzing fluid flow in hydraulic systems.

PREREQUISITES
  • Understanding of Hydraulic Grade Line (HGL) and Energy Grade Line (EGL)
  • Basic principles of fluid mechanics
  • Knowledge of velocity head in fluid dynamics
  • Familiarity with graphical representations of fluid energy
NEXT STEPS
  • Study the principles of fluid statics and dynamics
  • Learn about the implications of velocity head in pump systems
  • Explore graphical analysis of HGL and EGL in various hydraulic scenarios
  • Investigate the impact of pump design on fluid energy lines
USEFUL FOR

Students and professionals in civil engineering, mechanical engineering, and anyone involved in hydraulic system design and analysis will benefit from this discussion.

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Homework Statement


the line above shows the energy line of the flowing fluid , whereas the line below shows the hydraulic geade line of flowing fluid , the diffrence between 2 lines is velocity head

Homework Equations

The Attempt at a Solution


i have 2 pictures here , the author drew 2 different shape of graph at the pump , in the first picture , there's some velocity head at the pump ( the 2 lines didnt joined together) , whereas in the 2nd picture , 2 lines joined together , which is correct ?
 

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IMO , the second picture is correct , since the velocity of fluid at pump = 0 , am i right ?
 
bump , which is correct ? or both are correct ?
 

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