## Velocity Head

In general, **the hydraulic head**, or total head, is a measure of the **potential** of fluid at the measurement point. It can be used to determine a hydraulic gradient between two or more points.

**In fluid dynamics**, head is a concept that relates the energy in an incompressible fluid to the **height of an equivalent static column** of that fluid. The units for all the different forms of energy in the Bernoulli’s equation can be measured also in **units of distance**, and therefore these terms are sometimes referred to as “heads” (pressure head, velocity head, and elevation head). Head is also defined for pumps. This head is usually referred to as the **static head** and represents the **maximum height** (pressure) it can deliver. Therefore the characteristics of all pumps can be usually read from its **Q-H curve** (flow rate – height).

There are four types of potential (head):

**Pressure potential – Pressure head:**The pressure head represents the flow energy of a column of fluid whose weight is equivalent to the pressure of the fluid.**ρ**_{w}: density of water assumed to be independent of pressure**Elevation potential – Elevation head:**The elevation head represents the potential energy of a fluid due to its elevation above a reference level.**Kinetic potential – Kinetic head:**The kinetic head represents the kinetic energy of the fluid. It is the height in feet that a flowing fluid would rise in a column if all of its kinetic energy were converted to potential energy.

The sum of the elevation head, kinetic head, and pressure head of a fluid is called the **total head**. Thus, Bernoulli’s equation states that the total head of the fluid is constant.

**continuity equation**tells us that as the

**pipe diameter increases**, the

**flow velocity must decrease**in order to maintain the same mass flow rate. Since the outlet velocity is less than the inlet velocity, the kinetic head of the flow must decrease from the inlet to the outlet. If there is no change in elevation head (the pipe lies horizontal), the decrease in kinetic head must be compensated for by an increase in pressure head.

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