## Dynamic Pressure – Velocity Pressure

In general, **pressure** is a measure of the **force exerted** per unit area on the boundaries of a substance. The term **dynamic pressure** (sometimes called **velocity pressure**) is associated with fluid flow and with the **Bernoulli’s effect, **which is described by the **Bernoulli’s equation:**

This effect causes the **lowering of fluid pressure (static pressure)** in regions where the flow velocity is increased. This lowering of pressure in a constriction of a flow path may seem counterintuitive, but seems less so when you consider pressure to be energy density. In the high velocity flow through the constriction, kinetic energy (dynamic pressure – ½.ρ.v^{2}) must increase at the expense of pressure energy (static pressure – p).

As can be seen, dynamic pressure is dynamic pressure is one of the terms of **Bernoulli’s equation. **In incompressible fluid dynamics, dynamic pressure is the quantity defined by:

The simplified form of Bernoulli’s equation can be summarized in the following memorable word equation:

*static pressure + dynamic pressure = total pressure (stagnation pressure)*

Total and dynamic pressure are not pressures in the usual sense – they cannot be measured using an aneroid, Bourdon tube or mercury column.

To avoid potential ambiguity when referring to pressure in fluid dynamics, many authors use the term static pressure to distinguish it from total pressure and dynamic pressure. The term static pressure is identical to the term pressure, and can be identified for every point in a fluid flow field. Dynamic pressure is the difference between stagnation pressure and static pressure.

## Dynamic Pressure and Pressure Loss

**Dynamic pressure** is closely related to pressure losses. In the practical analysis of piping systems the quantity of most importance is the **pressure loss due to viscous effects** along the length of the system, as well as **additional pressure losses** arising from other **technological equipments** like, valves, elbows, piping entrances, fittings and tees. By observation, the ** head loss is roughly proportional to the square of the flow rate** in most engineering flows (fully developed, turbulent pipe flow). In fact, the ** head loss **is directly proportional to the **dynamic pressure**.

The constant of proportionality is the **pressure loss coefficient**. The pressure loss coefficient is noted K or ξ (pronounced “xi”). This coefficient characterizes pressure loss of a certain hydraulic system or of a part of a hydraulic system. It can be easily measured in hydraulic loops. The pressure loss coefficient can be defined or measured for both straight pipes and especially for** local (minor) losses**. For example, the pressure loss coefficient **ξ = 4.9 ** causes that the pressure drop will be about **4.9 times** the **dynamic pressure**.

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