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Formula Bernoulli equation Static pressure    Mass density    Height    Flow velocity   

Formula: Bernoulli equation
Bernoulli principle applied to a flowing liquid

Total pressure

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

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

Mass per volume of the fluid or gas.


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

Flow velocity

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

Gravitational acceleration

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