# Formula Bernoulli equation Static pressure Mass density Height Flow velocity

## Total pressure

`\( \mathit{\Pi} \)`Unit

`\( \mathrm{Pa} \)`

Constant total pressure of a stationary, non-viscous, incompressible fluid or gas along a streamline. The total pressure here is the sum of the dynamic pressure \(\frac{1}{2} \rho \, v^2\), hydrostatic pressure \(\rho \, g \, h\) and the static pressure \(\mathit{\Pi}_{\text{st}}\).

The Bernoulli equation results from the law of conservation of energy.

## Static pressure

`\( \mathit{\Pi}_{\text{s}} \)`Unit

`\( \mathrm{Pa} \)`

Static pressure is the pressure that a body would feel if it were moving with the flow. The static pressure results from the potential energy of the flowing fluid.

## Mass density

`\( \rho \)`Unit

`\( \frac{ \mathrm{kg} }{ \mathrm{m}^3} \)`

Mass per volume of the fluid or gas.

## Height

`\( h \)`Unit

`\( \mathrm{m} \)`

Height of the considered streamline of a fluid or gas above the ground (or other specified zero point).

## Flow velocity

`\( v \)`Unit

`\( \frac{\mathrm m}{\mathrm s} \)`

Flow velocity is the average velocity of the directed motion of the fluid or gas.

## Gravitational acceleration

`\( g \)`Unit

`\( \frac{\mathrm{m}}{\mathrm{s}^2} \)`

On Earth, the gravitational acceleration is approximately \( g = 9.8 \, \frac{\mathrm{m}}{\mathrm{s}^2} \).