Fluidlexikon

Bernoulli’s equation

Law for hydraulics. Equation defined by Daniel Bernoulli (1700—1782) in 1738 for the steady-state flow of incompressible fluids and gasses free of friction. Bernoulli’s equation is a fundamental law derived from the principle of the conservation of energy. It defines the mutual dependency between the velocity v, the pressure p and the geodetic height h in a flow. The energy of a flowing fluid:

Etotal = E pot + E kin + E p = const.

Potential energy = E pot = Δm · g · h

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Bernoulli’s equation for incompressible media:

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