Water is flowing through a pipe of 5 cm diameter under a pressure head of 20 m, which is 5 m above the datum line. Find the height of the hydraulic gradient line with respect to the datum.

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  1. 15 m
  2. 30 m
  3. 20 m
  4. 25 m

Answer (Detailed Solution Below)

Option 4 : 25 m
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Detailed Solution

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Concept:

Hydraulic Gradient Line(H.G.L.):

  • The sum of the potential (or elevation) head and the pressure head at any point is called the piezometric head.
  • If a line is drawn joining the piezometric levels at various points, the line so obtained is called the Hydraulic Gradient Line.

Calculation:

Given data:

Diameter of pipe (D) = 5 cm

Pressure head (hp) = 20 m

Elevation of pipe from datum (z) = 5 m

Height of hydraulic gradient line =?

F2 Vinanti Engineering 26.12.22 D14

Height of hydraulic gradient line \(=Z+{P\over ρ g}=Z+h_{p}\)

Where Z = elevation head

P = Pressure

ρ = Density of fluid

g = Acceleration due to gravity

hp = Pressure head

Height of hydraulic gradient line = 5 + 20 = 25 m

Height of hydraulic gradient line = 25 m

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