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Velocity head, also known as dynamic head or kinetic head, is a term used in fluid mechanics to describe the energy associated with the velocity of a fluid. It is commonly used in the context of fluid flow, such as in pipes or channels.

Velocity head arises from the kinetic energy possessed by a fluid due to its motion. When a fluid is flowing, it possesses both pressure energy and kinetic energy. The velocity head represents the kinetic energy per unit weight of the fluid.

Mathematically, the velocity head (hv) can be calculated using the following formula:

hv = (V^2) / (2g)

where:

  • V is the velocity of the fluid
  • g is the acceleration due to gravity

The velocity head is expressed in terms of length, typically in meters or feet. It represents the height to which a fluid would rise if its entire kinetic energy were converted to potential energy (potential energy per unit weight is given by the term "head").

The concept of velocity head is useful in fluid mechanics to analyze fluid flow and understand the distribution and conversion of energy within a system. It helps engineers and scientists quantify the energy associated with fluid motion and make calculations related to pressure, flow rates, and hydraulic systems.

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