It has notably been used to study the Venturi effect, whose limiting case is called choked flow, and Pitot tubes use it to calculate velocity.
This equation's modern form was first published by Lagrange in his Analytical Mechanics, and it provides one possible explanation of the Kutta-Joukowski Theorem. The derivation of the general form relies on a conservative body force and zero volumetric energy supply, while the more limiting version can be derived by directly integrating Euler's equation. It has notably been used to study the Venturi effect, whose limiting case is called choked flow, and Pitot tubes use it to calculate velocity. Under steady flow with incompressible fluids, the conservation of energy leads to its formulation that the sum of kinetic energy density, potential energy density, and pressure is a constant along a streamline. FTP identify this equation named for a member of a prominent Swiss scientific family, invoked to explain the lift on airplanes.
This equation's modern form was first published by Lagrange in his Analytical Mechanics, and it provides one possible explanation of the Kutta-Joukowski Theorem.
Bernoulli's equation or principle