MathLiveBernoulli's principle
For steady, inviscid, incompressible flow along a streamline, the sum of kinetic energy per unit mass, gravitational potential per unit mass, and pressure energy per unit mass stays constant. It is used to relate fluid speed and pressure at different points in a flow, such as in pipes, nozzles, and around wings.
\frac{v^2}{2} + \Psi + \frac{p}{\rho} = CWhat the symbols mean
| flow speed (m/s) | |
| gravitational potential per unit mass (J/kg) | |
| fluid pressure (Pa) | |
| fluid density (kg/m^3) | |
| constant along a streamline (J/kg) |
About this formula
- FieldPhysics
- TopicFluid dynamics
- LevelUniversity
- Also calledBernoulli's equation, Bernoulli equation for fluid flow, conservation of energy in fluid flow, fluid dynamics energy equation, Bernoulli theorem, kinetic plus potential plus pressure energy per unit mass constant
- SourceWikidata Q181328
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