Hydraulic head

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Hydraulic head

File:Hydraulic head diagram.svg
Diagram illustrating hydraulic head

Hydraulic head is a specific measurement of liquid pressure above a vertical datum. It is usually measured as a liquid column height, expressed in units of length, typically in meters or feet. The hydraulic head is a key concept in hydrology, hydraulics, and geotechnical engineering.

Components of Hydraulic Head[edit | edit source]

Hydraulic head is composed of two main components:

  • Elevation head: The height of the point above a reference level, often the mean sea level.
  • Pressure head: The height of a column of fluid that would exert the same pressure as the fluid at the point of measurement.

The total hydraulic head (H) can be expressed as:

H = Z + ψ

where:

  • Z = Elevation head
  • ψ = Pressure head

Applications[edit | edit source]

Hydraulic head is used in various fields such as:

Measurement[edit | edit source]

Hydraulic head is typically measured using piezometers or observation wells. These instruments provide a direct measurement of the pressure head, which can then be combined with the elevation head to determine the total hydraulic head.

Bernoulli's Equation[edit | edit source]

In the context of fluid dynamics, hydraulic head is a component of Bernoulli's equation, which relates the speed, pressure, and height of a fluid in steady flow. The equation is given by:

P/ρg + v²/2g + z = constant

where:

  • P = Pressure
  • ρ = Density of the fluid
  • g = Acceleration due to gravity
  • v = Velocity of the fluid
  • z = Elevation head

Hydraulic Gradient[edit | edit source]

The hydraulic gradient is the slope of the hydraulic head in the direction of the greatest rate of decrease. It is a vector quantity and is crucial in determining the flow direction and rate in porous media.

See Also[edit | edit source]

References[edit | edit source]

External Links[edit | edit source]

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Contributors: Prab R. Tumpati, MD