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Civil Engineering QUESTION #2126
Question 1
The hydraulic grade line (HGL) and energy grade line (EGL) in pipe flow are related such that:
  • HGL is always above EGL by the velocity head
  • EGL is always above or equal to HGL by the velocity head \(\dfrac{V^2}{2g}\) — the vertical distance between EGL and HGL equals the velocity head at any cross-section✔️
  • HGL and EGL coincide for all flows
  • EGL slopes upward in the direction of flow while HGL slopes downward
Correct Answer Explanation
EGL represents total energy head \(= \dfrac{p}{\rho g} + z + \dfrac{V^2}{2g}\). HGL represents piezometric head \(= \dfrac{p}{\rho g} + z\). The difference is the velocity head: \(EGL - HGL = \dfrac{V^2}{2g}\). Both slope downward in flow direction (energy loss). EGL is always above HGL (except at stagnation). When HGL falls below pipe centerline, pressure becomes sub-atmospheric — risk of cavitation and column separation.