The slope of the hydraulic gradient line is _______the slope of the energy gradient line if the pipe has a uniform cross-section. 

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  1. not equal to 
  2. greater than
  3. equal to
  4. less than

Answer (Detailed Solution Below)

Option 3 : equal to
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Detailed Solution

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Explanation:

Concept:

Hydraulic gradient line: The summation of the datum head and pressure head of a fluid flowing through a pipe with reference to a certain line is known as hydraulic gradient line (H.G.L).

\(H.G.L=\frac{P}{\rho g}+z\)

Energy gradient line: The summation of the pressure head, velocity head, and datum head of a fluid flowing through a pipe with respect to a certain line is known as energy gradient line (E.G.L).

\(E.G.L=\frac{P}{\rho g}+\frac{V^2}{2g}+z\)

F1 Madhuri Engineering 24.01.2023 D5

Note: 

  • The difference between E.G.L and H.G.L gives kinetic head.
  • H.G.L lies below the E.G.L.
  • For a uniform section pipe, the slope of H.G.L and E.G.L is equal because the velocity across the pipe is not changing, so the kinetic head remains constant.

Thus, option (3) is the correct answer.

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